Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:

Females (Population 1): 5, 5, 6, 6, 6, 3, 4, 6, 6, 6
Males (Population 2): 7, 3, 4, 7, 4, 7, 3, 3, 7, 4

Give a 93% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)

Answers

Answer 1

Answer:

Confidence Interval =-0.76,+1.56

Step-by-step explanation:

The confidence interval can be determined by

(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2

z∝/2 for 93% is 1.81

The mean and the standard deviations can be calculated using the calculator.

The mean x1`= ∑x/ n=  5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6

                                  = 53/10= 5.3

Standard deviation = s1`=   1.0049= 1.005

The mean x2`= ∑x/ n=  7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10

                                  = 49/10= 4.9

Standard Deviation = s2= 1.75783= 1.76

Putting the values

(x1`- x2`) ± z∝/2   √s1²/n1 + s2²/n2

(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10

0.4 ± 1.81 √ 1.010025/10 + 3.0976/10

-0.76,+1.56

The confidence interval for 93% two tailed test is [-0.76,+1.56]


Related Questions

If ß is the small angle is a 3-4-5 right triangle, then sin ß = ?

Answers

Answer:

sin β = sin(36.87) ≈ -0.73733168456

Step-by-step explanation:

The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.

What is the image of F for a dilation with center (0, 0) and a scale factor of 10? (−30, −30) (30, 30) (30, −30) (−30, 30)

Answers

Answer: (-30,30)

Step-by-step explanation:

f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc

4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)

f(x) = (x - 5)(x – 4)

f(x) = (x - 5)(x + 4)

f(x) = (x + 5)(x - 4)

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

Answers

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of
the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
No website plzzz

Answers

Answer: 9.82cm

Step-by-step explanation:

The following scatter plot represents the number of views a video gets each day.
(b) Use a graphing calculator or other technology to write a regression equation to model the data.
(c) A video is considered viral if it receives more than three million views by the time it has been posted for 10 days. Use the model from Part (b) to determine if the video will receive enough views to be considered a viral video. Show your work.

Answers

Answer:

y = 1.0535(4.9512)^x

It can be considered a viral video

Step-by-step explanation:

Using the exponential regression calculator, the regression model obtained is :

y = 1.0535(4.9512)^x

Using the model, we can determine if a video can be considered viral ;

Number of days, x = 10

y = 1.0535(4.9512)^10

y = 1.0535(8853290.1338)

y = 9,326,941.15

Hence, video will receive way over 3 million reviews, a review of about 9,326,941, hence, it can be considered a viral video.

A) 6
B) 15
C) 20
D) 24
E) 30

Answers

Answer:E.30

Correct me if wrong :)

what is the scientific notation if 36000x10^-8? ​

Answers

Answer:

3.6 * 10^-4

Step-by-step explanation:

36000x10^-8

The number must be between 1 and 10

36000.

Move the decimal 4 places to the left, so add 4 to the exponent

3.6 * 10^(-8+4)

3.6 * 10^-4

Answer:

the scientific notation of

[tex] 36000×10^{-8}=36000/100000000=3.6×10^{4}/10^{-8}[/tex]

[tex]=3.6×10^{4-8}=3.6*10^{-4}[/tex]

I really need help on this if someone knows the answer pls help

Answers

Answer:

14.75

Step-by-step explanation:

x = 1*1*0.5 = 0.5

y = 1.5*1.5 = 2.25

g = ((2.5+1.5)\2) * 2 = 4

t = 4*2 = 8

total = 0.5 +2.25 +4 +8  - 14.75

What is a nativist ? Help please

Answers

Answer:

Nativism is the political policy of promoting the interests of native inhabitants against those of immigrants, including the support of immigration-restriction measures

Step-by-step explanation:

Hope this helps.

Please mark brainliest!

Would be very much appreciated!

Answer:

In philosophy  and psychology, a nativist is a person who believes in an innate understanding of particular concepts. This includes innate knowledge and ideas which occur at birth and are not acquired through learning and experience.

In United States history, a nativist is a person who opposes immigration of any kind which is deemed "undesirable" and who advocates for the exclusive interests of native-born citizens, often from longtime American families. Nativists disliked Catholics as well as immigrants and minorities.

A famous nativist organisation of America is the Know-Nothing party of the 1840s.

Step-by-step explanation:

I hope at least one of these suits your purposes :)

landon painted a shape that had 4 sides. The shape has 4 angles. What kind of shape did he paint?

Answers

Answer:

A quadrilateral.

Step-by-step explanation:

A quadrilateral has four sides and four angles. For example, a square is a quadrilateral because it has four sides and angles.

A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what
are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not
solve the equation yet.

The equation is
X (Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is
x feet.
The length of the field is
x feet.

Answers

Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

P = 2(L + W)

A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

93.15 feet and the length of the field is

10.35 feet.

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6. Find the probability that the number of major hurricane to strike U.S mainland in any any give year is: a) Exactly one b) At most one c) More than one

Answers

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that [tex]\mu = 0.6[/tex]

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Then

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488[/tex]

[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878[/tex]

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122[/tex]

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

The graph shows the system of equations below.
2x-3y=-6
y= -1/3x=4
Which statement is supported by the graph?
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is ( –2, –6).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (2, –4).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–4, 2).

Answers

We want to describe the system of equations by analyzing the graph. We will see that the correct option is:

"The blue line represents the equation 2x -3 y = -6, and the solution to the system of equations is (–6, –2)."

We know that the equations are:

y = (-1/3)*x - 4

2x - 3y = -6

Notice that the y-intercept of the first equation is -4, and the line that intercepts the y-axis at -4 is the red line. So the red line represents the equation y = (-1/3)*x - 4, while the blue line represents the other equation.

Also, remember that the solution of a system of equations is given by the point where the graphs of the equations intercept, here, we can see that the lines intercept at (-6, -2), so the solution of the system is (-6, -2)

Then the correct option is:

The blue line represents the equation 2x-3y=-6, and the solution to the system of equations is (–6, –2).

If you want to learn more, you can read:

https://brainly.com/question/9351049

Answer:

a:The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

The degree of the polynomial 10x^3 + 2x^m y - 4y is 3. What is the value of m?
A.) 1
B.) 2
C.) 3
D.) 4

Answers

Answer:

1

Step-by-step explanation:

x is 1 and y is 1 and the total is three so 1

- Your furniture store sells two types of dining room tables. The first, type A, costs $213 and you make a $23
profit on each one. The second, type B, costs $109 and you make a $16 profit on each one. You can order no
more than 90 tables this month, and you need to make at least $1720 profit on them. If you must order at leas
one of each type of table, how many of each type of table should you order if you want to minimize your
cost?
a. 50 of type A
40 of type B
b. 34 of type A
56 of type B
C. 56 of type A
34 of type B
d. 40 of type A
50 of type B

Answers

The correct answer is (C)

What is the surface area of the sphere below?
5
O A. 125r units2
B. 100% units2
C. 125% 3 units2
D. Cannot be determined

Answers

The surface area is B

Answer is :B
Explanation :radius of sphere :5 units
Surface areas of sphere :4
S=4(pie)(5)^2
S=4x(pie)x25
S=100(pie) units 2

Find x??...................

Answers

Answer:

x=8

Step-by-step explanation:

The sides are of equal length

x+2 = 2x-6

Subtract x from each side

x+2-x = 2x-6+x

2 = x-6

Add 6 to each side

2+6 = x-6+6

8 =x

Answer:

X=8

Step-by-step explanation:

x+2=2x-6

-x+2=-6

-x=-8

x=8

I need the answer fast pls

Answers

Answer:

I think D

Hope this helps!!

Find the volume of this prism.
9 cm
12 cm
6 cm

Help pls

Answers

Answer:

324 cm^3

Step-by-step explanation:

Volume = l x w x h / 2

V = 12 x 6 x 9 / 2

V = 648 / 2

V = 324 cm^3

Answer:

V = 324 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of triangular end × length

A of triangle = [tex]\frac{1}{2}[/tex] × 6 × 9 = 3 × 9 = 27 cm² , then

V = 27 × 12 = 324 cm³

The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6 cm2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 15 cm long.

Answers

Answer:

the rate at which the height of the box is decreasing is -0.0593 cm/s

Step-by-step explanation:

Given the data in the question;

Constant Volume of a rectangular box with a square base = 500 cm³

area of the base increases at a rate of 6 cm²/sec

so change in the area of the base with respect to time dA/dt = 6 cm²/sec

each side of the base is 15 cm long

so Area of the base = 15 cm × 15 cm = 225 cm²

the rate at which the height of the box is decreasing = ?

Now,

V = Ah

dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0

⇒ dh/dt = -hdA/dt / A

we substitute

dh/dt = [ -( 500 / 225 ) × 6 ] / 225

dh/dt = [ -(2.22222 × 6)  ] / 225

dh/dt = [ -13.3333 ] / 225

dh/dt = -0.0593 cm/s

Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s

So what would be the answer?

Answers

Answer:

i

Step-by-step explanation:

Answer:

did you forget a picture?

Step-by-step explanation:

if you did, either add it in the comments, or make a new question

What are 64 real square roots

Answers

The square roots of 64 are -8 and +8.

Answer:

8

Step-by-step:

Find the calculator, look for the square root symbol and put 64 in there.

If a right circular cylinder and oblique cylinder both have a height of 19
inches and diameter of 10 inches, do they have the same volume? (Use
T = 3.14)

Answers

Answer:

Yes.

Step-by-step explanation:

The diameters are the same so the radii are the same also.

The volume of both is  3.14r^2h.

The radius r and height h is the same for both cylinders.

The volume = 3.14 * 5^2 * 19 = 1491.5 in^3.

How many solutions does the following system have?

y = 4x + 6
y = 4x + 12

A. One Solution
B. Infinitely many solutions
C. No Solution
D. Two Solutions

I WILL MARK BRAINLEST IF YOUR ANSWER IS CORRECT!!!!

Answers

Answer: no solution

Step-by-step explanation:

What is a reasonable prediction? Please help! :(

Answers

Answer:

A estimated guess based off past information not some random number

Step-by-step explanation:

Example:

Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.

Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.

Not Reasonable: We will because it will be sunny

(8 × 2) × 5 = 8 × (2 × 5)

Answers

Answer:

3 1/5

Step-by-step explanation:

80 = 80

hope that helps. you didn’t specify what you’re looking for.

Help??? Please? I need to pass.

Answers

Answer:

(x-8.5)2=81.25

I have no idea pls help

Answers

Answer:

Area= 90

Step-by-step explanation:

triangle area: (b x h) / 2

(12 x 15) / 2

(180) / 2

a= 90

hrutoday? eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

The answer to your question is = 1/81

Calcula el 28% de 375

Answers

Answer: 105

Step-by-step explanation:

28% es 0.28 en decimal

28% de 375 es 375 x 0.28

375 x 0.28 = 105

Answer:

105

Step-by-step explanation:

[tex]\frac{y}{375} :\frac{28}{100}[/tex]

y × 100 = 28 × 375

100y = 10500

100y ÷ 100 = 10500 ÷ 100

y = 105

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