all of the following increase the width of a confidence interval except a. decreased sample size b. increased sample size c. increased confidence level d. increased variation

Answers

Answer 1

The width of a confidence interval increase except increased sample size , the correct option is (b) .

In the question,

it is asked that which option will decrease the width of a confidence interval ,

we know that the ,

the decrease in sample size increases the width of the confidence interval , and

the increased confidence interval also leads to increase in width of confidence interval , and

the increase in variation also leads to increase in the width of the confidence interval .

So , the only option that decreases the width of the confidence interval is increased sample size

that is increase in sample sizes causes smaller confidence interval.

Therefore , the correct option is (b) .

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Related Questions

what will happen (other things being equal) if you decrease the confidence level for a given confidence interval?

Answers

The breadth of the confidence interval grows as the confidence level does. The breadth of the confidence interval reduces as the confidence level rises.

Generally speaking, the more information we know on the level of the population parameter, the narrower a confidence interval becomes. As a result, we want to make sure that all of the confidence intervals are as small as feasible. So let's look at the variables that influence the mean's t-interval width.

The margin of error grows as the degree of confidence does because we require a broader interval to improve our level of confidence that the interval includes the population mean.

Because the standard error is reduced as sample size increases, confidence intervals are narrower.

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Expand and fully simplify (x+5)(x+4)(x+4)

Answers

Answer: (x+5)(x+2)^2

Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:

(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)

= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)

= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80

= x^3 + 9x^2 + 45x + 80

Fully simplifying this expression gives:

x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)

= (x+5)(x+2)^2


Determine the area under the standard normal curve that lies to the left of (a) Z=-1.66, (b) Z= -0.03, (c) Z=-0.26, and (d) Z=1.08.

The area to the left of Z= -1.66 is__

(Round to four decimal places as needed.)

Answers

Answer:

is 364

Step-by-step explanation:

A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost?
In similar triangles, both the two triangles must satisfy the two properties. One is the side proportional, and the other is equal in angles. There are three criteria in similarity. They are AA similarity, SSS similarity, and SAS similarity. The below one satisfies the AA similarity.

Answers

The length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

What do you mean by length?

The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions.

According to data in the given question,

We have the given information:

The height of the person is 7 ft.

The person is walking away from the post at a rate of 5ft/sec.

The height of the lamppost is 20ft.

Let the person's distance from the bottom of the light post be x ft.

And his shadow's length is y ft.

Form the similar triangles,

[tex]\frac{x+y}{20}=\frac{y}{7}\\[/tex]

7(x+y) = 20y

7x+7y = 20y

20y-7y = 7x

13y = 7x

y = [tex]\frac{7}{13}x[/tex]

Now, we will differentiating wrt t,

[tex]\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}................(1)[/tex]

We know that,

[tex]\frac{dx}{dt}=5\frac{ft}{sec}[/tex]

Putting the value of  [tex]\frac{dx}{dt}[/tex]  in equation (1),

[tex]\frac{dy}{dt}=\frac{7}{13}.5=\frac{35}{13}=2.69\frac{ft}{sec}[/tex]

Therefore, the length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].

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Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3, −1, and 2, and a y-intercept of −14.

Answers

The polynomial equation with zeroes of -3, -1, 2 and y-intercept of -14 is x^3 +2x^2 -5x -20.

what are zeroes of a function?

The zeros of a function f(x) are values of the variable x such that the values satisfy the equation f(x) = 0. The zeros of a function are also called the roots of a function.

if -3, -1, 2 are zeroes of y(x) with an intercept d then

y(x) = (x-a)(x-b)(x-c) + d

where a = -3, b = -1, c = 2, d = -14

Substituting we have

y(x) = (x+3)(x+1)(x-2) -14

let us expand the first two linear factors

(x+3)(x+1) =x^2 +3x + x + 3 which is x^2 + 4x + 3

multiply this result with (x-2), we have

(x-2)(x^2 + 4x +3)

x^3 + 4x^2 +3x -2x^2 -8x -6

simplifying it becomes x^3 +2x^2 -5x -6

y(x) =  x^3 +2x^2 -5x -6 -14

y(x) = x^3 +2x^2 -5x -20

In conclusion the polynomial function is  x^3 +2x^2 -5x -20

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the dunking booth is the shape of a cube represented below x 3. write a polynomial that represents the volume of the dunking booth. write your answer in descending order. please use the palette below to enter your answer.

Answers

The dunking booth is the shape of a cube represented below (x+3). Therefore, the polynomial of volume of the dunking booth is

                                            (x +3) (x+3)².

Lets talk about the cube prism

- It has cube faces each two opposite faces are congruent

- It has three dimensions.

- Its volume = a³

In our problem the dunking booth is a cube prism with dimensions:  x + 3

Side = x +3

therefore,

V = a³ = ( x +3)³

          = (x)³ + 3× (x)²× 3 + 3× x × (3)² + (3)³

          = x³ + 9x² + 27x + 27

Regrouping ,

          = x³+ 27+ 9x² + 27x

Rewrite 27as 33.

x³+ 3³+9x²+ 27x

Since both terms are perfect cubes, factor using the sum of cubes formula,

a³+b³ = (a + b)(a²- ab+ b²) where a=x and b=3.

(x+3)(x− x⋅3 + 32)+ 9x²+ 27x

Simplify.

     (x+3)(x²− 3x + 9)+ 9x²+ 27x

⇒  (x+3)(x²− 3x + 9)+ 9x(x+3)

Now,

x+3 out of  (x+3)(x²− 3x + 9)+ 9x(x+3) .

⇒ (x+3)(x²− 3x + 9 + 9x)

Add −3x and 9x.

(x+3) (x²+ 6x+ 9)

Rewrite the polynomial.

   (x+3)(x²+ 2⋅x⋅3+ 3²)

Factor using the perfect square trinomial rule a²+2ab+b² = (a + b)² , where a = x and b = 3.

                  (x+3)(x+3)².

Therefore, the polynomial is   (x+3)(x+3)².

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The rule for a pattern is "star, square, triangle, circle." What is the 13th shape in this pattern?

Answers

Answer:

star

Step-by-step explanation:

if you continue the pattern, the 13th is star

help, please brainlest and points if right

Answers

Answer:

C

Step-by-step explanation:

yeah I think it's c there's 35% it's C

x+3(2x-4) just checking answer

Answers

[tex]\fbox{7x-12}[/tex]

Distributive property:

[tex]x+(3)(2x)+(3)(-4)[/tex]

[tex]x+6x+-12[/tex]

Combine like terms:

[tex](x+6x)+(-12)[/tex]

[tex]7x-12[/tex]

How do you find the unit rate of a number

Answers

Reduce using the GCF of both numbers.

D is 2, it got cut off

Answers

The answer is B or number 4

Michelle used a \$20$20dollar sign, 20 bill to pay for a notebook that only costs ppp dollars. How much change did michelle receive from the cashier? write your answer as an expression.

Answers

The expression that represents the change that the cashier handed Michelle is $20 - $P.

What do we mean by expressions?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A collection of numbers, symbols, and operators (like + and ) that represent a value.

Examples: The phrase 2 + 3 is one.

We must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.

So, Michelle purchased a notepad for P dollars with $20 cash.

Now, considering that Michelle paid P dollars for a notepad using a $20 bill.

As a result, the cashier gave Michelle $20 - $P.

Therefore, the expression that represents the change that the cashier handed Michelle is $20 - $P.

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Correct question:
Michelle used a $20 bill to pay for a notebook that only costs P dollars

How much change did Michelle receive from the cashier?

Write your answer as an expression.

singapore's area of land is 130 square kilometers and its population density is 8,350 people per square km. the number of people in singapore is closest to:

Answers

The number of people in Singapore is  1085500 people  .

In the question ,

it is given that ,

the Singapore's land area is = 130 square kilometer ,

the population density of Singapore is = 8350 people per square kilometer ,

So , the number of people in Singapore can be calculated using the formula ,

Number Of People = (population density of Singapore)×(land area of Singapore)

Substituting the value of population density and land area , we get

hence , Number Of People = 8350 × 130

= 1085500 people .

Therefore , the number of people are 1085500 .

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joan, compliance officer at xyz hospital, explains to the hospital board that in 2003 a provision was added to emtala that stated that there is a yard zone that continues to apply when defining the hospital campus. how many yards are included in this zone? a. 500 b. 100 c. 200 d. 250

Answers

The stated zone in EMTALA in 2003 when defining a hospital campus is d. 250 yards

What is EMTALA?

EMTALA stands for Emergency Medical Treatment & Labor Act. It is passed by the US Congress in 1986 to ensure public access to emergency services regardless of ability to pay.

2003 revision of EMTALA provides that the 250-yard zone will continue to apply when defining the "hospital campus". However, that sphere does not include non-medical businesses (shops and restaurants located close to the hospital), nor does it include physicians' offices or other medical entities that have a separate Medicare identity.

Hence, the correct answer is d. 250 yards.

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2x-10
factor out........

Answers

factored form:
2(x-5)

Answer:

2 x-5

Step-by-step explanation:

a super happy fun ball is dropped from a height of 6 feet and rebounds 10 11 of the distance from which it fell.

Answers

The ball will need to travel 126 feet since it will be dropped from a height of 6 feet and then bounce 10/11 feet.

What is division?

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Here,

2*{6/(1-10/11)}-6

2*(6/1/11)-6

2*6*11-6

required distance=126 feet

The required distance will be 126 feet as the ball is dropped from 6 feet and rebounds 10/11 of the distance.

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find a parametric representation using spherical-like coordinates for the upper half of the ellipsoid 4x2 8x 9 y2 36(z 1)2

Answers

A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

What is ellipsoid?

A sphere can be deformed into an ellipsoid by applying directional scalings, or more generally, an affine transformation, to it.

A quadric surface, or surface that can be described as the zero set of a polynomial of degree two in three variables, is an ellipsoid. An ellipsoid among quadric surfaces has one of the two characteristics listed below. Every cross section of a flat surface is either an ellipse, empty, or reduced to a single point (this explains the name, meaning "ellipse-like"). It can be contained in a sphere that is big enough because it is bounded.

Three pairwise perpendicular axes of symmetry intersect at an ellipsoid's center of symmetry, or the

According to our question-

To each side of the equation, add "-9y2".

4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

combining similar terms 9y2 + -9y2 = 0

4x2 + 0 + -1z2 = 36 + -9y2

4x2 + -1z2 = 36 + -9y2

To either side of the equation, add "z2".

4x2 + -1z2 + z2 = 36 + -9y2 + z2

Hence, A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

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A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832 Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York. (a) Find the test statistic for this test using Ha: p8くPN. (Use standard error-0.116.) (3 decimal places) (b) Determine the p-value (3 decimal places) (c) Based on this p-value, which of the following would you expect for a 95% confidence interval for pB-PNY? All values in the interval are negative. Some values in the interval are positive and some are negative. All values in the interval are positive (d) What is the correct conclusion? There was no significant difference between the proportion of drivers wearing seat belts in Boston and New York. The proportion of Boston drivers wearing seat belts was significantly lower than the proportion of New York drivers wearing seat belts. The proportion of Boston drivers wearing seat belts was significantly higher than the proportion of New York drivers wearing seat belts

Answers

(A.)test statistic for this test using Ha: p8くPN is Z = -2.164 (B.) p-value (3 decimal places) is 0.015. (C.) Based on this p-value, which of the following would you expect for a 95% is negative. (D.) the correct conclusion is The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

A.)

According to given data find the test statistic for this test using Ha:

p1 = 0.581

p2 = 0.832

standard error = SE = 0.116

Test statistics :-

Z = [tex]\frac{p1 - p2}{SE}[/tex]

Z = [tex]\frac{0.581 - 0.832}{0.116}[/tex] = -2.164

Z = -2.164

B.)

According to given Determine the p-value (3 decimal places).

p - value

it is left tailed test.

p - value for left tailed test is,

p - value = P(Z < test statistics )

p - value = P(Z < -2.164)

P - value = 0.015

C.)

Based on this p-value, which of the following would you expect for a 95%

confidence level = 95% = 0.95

significance level = α = 0.05

P -value is less than 0.05

so, reject null hypothesis at α = 0.05

That is [tex]P_{B}[/tex] < [tex]P_{NY}[/tex]

so, based on P - value , All values in the 95% confidence interval

PB - PNY  is negative.

D.)

According to given data What is the correct conclusion?

Reject null hypothesis at α = 0.05

so, [tex]P_{B}[/tex] < [tex]P_{NY}[/tex]

Hence, The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

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Which term bet describes the force on an object with a net force is zero

Answers

Answer:

If the net force on an object is zero, then the object is in equilibrium. It means the sum of the forces in all directions must be equal to zero.

Answer: equilibrium

Step-by-step explanation: When an object is in equilibrium (either at rest or moving with constant velocity), the net force acting on it zero.

You are given an integer n where 0 <= n <= 100, followed by another line of input which has a word w with length l where 1 <= l <= 50. Your task is to print n lines with the word w. The lines of your output should not have any trailing or leading spaces. Your output lines should not have any trailing or leading whitespaces.

Answers

The Python program prints the value of the integer n from the input string shown. (Refer to the coding below)

What is a python program?

An arrangement of Python statements that have been specifically designed to accomplish a task is the simplest definition of a program.

A program is even our straightforward hello.py script.

Although it is only one line long and of limited use, it is a Python program by the strictest definition.

Functions assist in segmenting our program into manageable, modular portions.

Our program becomes more organized and controlled as it gets bigger and bigger.

It also makes the code reusable and prevents repetition.

So, we know that the program is for the given integer n:


Defining the integer variable "N" that accepts a user-supplied integer value.

The user-end string value is input using another variable "W" that is declared in the next step.

A for loop using the range method and an integer variable is declared after all input values have been entered.

This loop prints the string value.

The Python program prints the value of the supplied string.

N= int(input("Enter a value of integer N (0 <= N <= 100): "))#defining an integer variable N that inputs integer value from the user-end

W = input("Enter the word W (length of 1 <= L <= 50): ")#defining a string variable W that inputs the value fom the user-end

for n in range(N):#defining a for loop that uses the range method with integer variable and prints the string value

  print(W)#printing the string value

Therefore, the Python program prints the value of the integer n from the input string shown.

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Complete question:
You are given an integer N where 0 <= N <= 100, followed by another line of input which has a word W with length L where 1 <= L <= 50. Your task is to print N lines with the word W. The lines of your output should not have any trailing or leading spaces.

Your output lines should not have any trailing or leading whitespaces

Input

3

Hello

Output

Hello

Hello

Hello

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius cm. what is the maximum​ volume?

Answers

The dimensions of a right circular cylinder of maximum volume are

[tex]5\sqrt{6}[/tex] and [tex]10\sqrt{3}[/tex].

Given the radius of sphere is 15 cm.

Let's assume radius of right circular cylinder = r

height of right circular cylinder = h.

Since the cylinder is inscribed in the sphere, their centers will coincide. As a result, the height is divided into two equal portions from the sphere's center. Therefore, we can apply Pythagoras' Theorem to get the cylinder's half-height in terms of radius.

[tex]R^2 = r^2 + (h/2)^2[/tex].

[tex]r^2=R^2-h^2/4[/tex]

Volume of cylinder = [tex]\pi r^2h[/tex]

Now we can substitute value of [tex]r^2[/tex] in volume of cylinder.

V =  π*([tex]R^2[/tex] - [tex]h^2[/tex]/4)*h

taking  R = 15 .

V = π*(225 - [tex]h^2[/tex]/4)*h

V = π*225*h - π*[tex]h^3[/tex]/4

For maximum volume we have to do derivative of volume = 0

derivative with respect to h.

V' = π*225 - 3*π[tex]h^2[/tex]/4

V' = 0

π*225 - 3*π[tex]h^2[/tex]/4 = 0

3*[tex]h^2[/tex]/4 = 225

[tex]h^2[/tex] =  75*4

h = [tex]10\sqrt{3}[/tex]

put the value of h in [tex]r^2=R^2-h^2/4[/tex]

[tex]r^2[/tex] = 225 - (300/4)

[tex]r^2[/tex]  = 150

r = [tex]5\sqrt{6}[/tex]

Given Question is incomplete, Complete Question here

find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm. what is the maximum​ volume?

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Ffgggggggggggggggggggggggggggggggggggg

Answers

Answer:

Step-by-step explanation:

Cosine is adjacent over hypotenuse.

So for Angle Z, the adjacent leg is 12 and the hypotenuse leg is 20.

The Cosine ratio is 12/20.

16 is not used and would be the opposite leg to Angle Z

please someone help me with this! (the answer is not 6c to the power of 6 btw)

Answers

8c to the power of 18

what is the probability that headway is within 1 standard deviation of the mean value? (round your answer to three decimal places.)

Answers

There is a 0.890 percent chance that headway will be within one standard deviation of the mean.

The mean value is what?

The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.

The sum of all possible values, weighted by the likelihood of each value, constitutes the mean of a discrete probability distribution of the random variable X. Each possible value of X must be multiplied by its probability, P(x), before being added to determine the mean.

P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).

The distribution's cdf is

f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)

Determine the values of F(1.445) and F now (0.995).

F(1.445) = 1 - (1/(1.445)⁶)

F(0.995) = 0

Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):

P( 0.995 ≤ x ≤ 1.445)

=1 - (1/(1.445)⁶) - 0

=0.890

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A pet store clerk suggested 5 small fish for a 6-gallon fish tank. What size tank would be suggested to hold 40 small fish?.

Answers

For containing the 40 small fish, the size of the fish tank required is

48 -gallon.

Explain the meaning of the term unitary method?The unitary approach includes determining the value of an individual unit, from which we can calculate the values of the necessary number of units. By using the unitary technique, we may calculate the value of a particular unit from the values of several other units, and then we can use this value to calculate the value of the necessary number of units.

As the stated question-

For 5 small fish -----> 6-gallon fish tank required.

Then, for 1 small fish,

1 small fish -----> 6/5 -gallon fish tank required.

For the total of 40 small fish.

40 small fish -----> 40x6/5 -gallon fish tank required.

40 small fish -----> 48 -gallon fish tank required.

Thus, for containing the 40 small fish, the size of the fish tank required is

48 -gallon.

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powerball is played with 59 white balls, numbered 1 through 59, and 35 red balls, numbered 1 through 35. five white balls and one red ball, the powerball, are drawn. in how many ways can a player select the six numbers?

Answers

The total ways of selecting 6 numbers in 175223510 Ways.

What is Permutation?

A permutation is an grouping or the combination of items that is drawn from a set of which the placement or an arrangement of the given objects is significant. In the other terms, an arrangement of the items in the specific order is a permutation.

Total number of White balls = 59

Total number of red balls = 35

Way of choosing 5 white balls = ⁵⁹C₅

= [tex]\frac{59!}{54! 5!}[/tex]

=5006386 ways

Way of choosing 1 red ball = ³⁵C₁

=35 ways

Hence Total ways would be =

5006386 * 35 = 175223510 Ways

Hence the total ways of selecting 6 numbers in 175223510 Ways.

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assume three dictionaries are assigned to the variables, canadian capitals, mexican capitals, and us capitals. these dictionaries map provinces or states to their respective capitals. write code that creates a new dictionary that combines these three dictionaries, and associate it with a variable named nafta capitals.

Answers

The code is written in nafta capital python.

canadian_capitals = {"Alberta":"Edmonton", "British Columbia":"Victoria", "Manitoba":"Winnipeg"}  ( I created the first dictionary with the variable name called canadian_capital.  Notice the province of Canada is mapped to to their respective capitals.)

mexica_capitals ={"Aguascalientes":"Aguascalientes", "Baja California":"Mexicali", "Baja California Sur":"La Paz"}  ( I created the second dictionary with the variable name called mexican_capital. The states are also mapped to their respective capitals.)

us_capitals ={"Alabama":"Montgomery", "Alaska":"Juneau", "Arizona":"Phoenix"}  ( I created the third dictionary with the variable name called us_capital.  The states are also mapped to their respective capitals.)

nafta_capitals = {}  (This is an empty dictionary with the variable name nafta_capitals to combine the 3 dictionaries.)

nafta_capitals.update(canadian_capitals)  (I updated the empty dictionary with the canadian_capitals dictionary.)

nafta_capitals.update(mexica_capitals)  (I also added the mexica_capitals dictionary to the nafta_capitals dictionary.)

nafta_capitals.update(us_capitals)  I also added the us_capitals dictionary to the nafta_capitals dictionary.

print(nafta_capitals)  ( The whole 3  dictionaries have been combined to form the nafta_capitals dictionary. The print function displays the already combine dictionaries.)

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The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minutes to gallons is 6 to 1 is Carlota correct?

Answers

Answer:

no

Step-by-step explanation:

2 : 12 = 1 : 6

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:
t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2 Match the variables to their description.
------------->

Answers

The variables of the test statistic can be concluded as [tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] as the variance of two samples, [tex]n_{1}[/tex], [tex]n_{2}[/tex] as the respective size of the two samples, [tex]t[/tex] as the t-distribution test statistic, and [tex]x_{1}[/tex], [tex]x_{2}[/tex] as the mean of the two samples.

It is given to us that the test statistic is used for a two sample test of means where the population variances are unknown and unequal.

Pooled standard deviation estimates cannot be used when the two groups have unequal variances. Instead, we have to find out the standard error for each group separately.

The formula for this type of test statistic is given by -

[tex]t=\frac{x_{1} -x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }[/tex] ------- (1)

Here, the variables can be defined as below -

[tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] = The variance of two samples

[tex]n_{1}[/tex], [tex]n_{2}[/tex] = The respective sizes of the two samples

[tex]t[/tex] = t-distribution test statistic

[tex]x_{1}[/tex], [tex]x_{2}[/tex] = Mean of the two samples

Thus, the variables of the test statistic can be concluded as [tex]s_{1} ^{2}[/tex], [tex]s_{2} ^{2}[/tex] as the variance of two samples, [tex]n_{1}[/tex], [tex]n_{2}[/tex] as the respective size of the two samples, [tex]t[/tex] as the t-distribution test statistic, and [tex]x_{1}[/tex], [tex]x_{2}[/tex] as the mean of the two samples.

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Solve the proportion

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98

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8

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