1) Is a t-Distribution Appropriate?
A sample with size n=75 has x¯=18.92, and s=10.1. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No
If it is appropriate, give the degrees of freedom for the t-distribution and give the estimated standard error. If it is not appropriate, enter -1 in both of the answer fields below.
Enter the exact answer for the degrees of freedom and round your answer for the standard error to two decimal places.
df=
standard error =
2) Is a t-Distribution Appropriate?
A sample with size n=10 has x¯=508.5, and s=21.5. The dotplot for this sample is given below.
Indicate whether or not it is appropriate to use the t-distribution.
Yes / No

Answers

Answer 1

Answer:

1) Yes

2) No

Step-by-step explanation:

In the first test  t distribution is  appropriate to use because  in the dot plot the  16 data points can be seen other the the data points clustered round the mean.

Here degrees of freedom = n-1= 74

S. E= s/√n

S.E= 10.1/ √74= 1.17

For t - distribution it is assumed that the sample is approximately normal which is  visible in the dot plot in the first test.

In the second case z test should be applied.

Z test is used when the population standard deviation is not known .

In the second test  t distribution is   not appropriate to use because  in the dot plot only 2 data points can be seen other the the data points clustered round the mean.

For t - distribution it is assumed that the sample is approximately normal which is not visible in the dot plot.


Related Questions

PLZ HELP!!! BRAINLYEST WILL BE GIVEN TO BEST ANSWER!!!! IF YOU PUT A LINK I WILL REPORT YOU!!!!! DONT TRY ME!!!!!! YALL BEEN WASTING MY POINTS LATELY I HATE IT SO NO SNEAKY LINK OR NON ANSWER OR U WILL BE REPORTED.

I tried to count it but with 8 annoying siblings messing with u all the time, it is impossible

Answers

The answers is 16 students donated food.

Helllppppppppppppppppppp

Answers

Answer: 1200 apples

Divide 100% by 35% to get the multiplier 2.85714285714 (35(s) within 100), and then multiply that by 420 apples to get 1200 apples.

Which set of lengths CAN form a triangle?
6, 9, 12
3, 3 ,7
1, 2, 3
6, 9, 15

Answers

the first one can be a triangle and the last one 6 9 12

the table gives information about the number of points scored by each of 16 students in a game.

number of points - frequency
0 - 1
1 - 3
2 - 5
3 - 4
4 - 3

tina worked out the median of the number of points scored to be 5.

a) explain why it is not possible for the median to be 5?

Answers

0,1,1,2,3,3,3,4,4,5
3+3= 6/2= 3
The median is 3
It is not possible for the median to be 5 because the median is the middle number which is 3

A Child wants to reach the cookies on the top shelf of the kitchen. The shelf is 1.5 m high. The cookie jar has a mass of 0.75 kg. what is the potential energy of the cookie jar before it is taken from the shelf?

Answers

Answer:

11.0325 J

Step-by-step explanation:

The formula for calculating Potential Energy is:

P.E. = mass * acceleration due to gravity * height

where mass is in kg

acceleration due to gravity is a constant at the surface of the earth = 9.8 m/sec^2

and height is in meters

Here:

P.E. = 0.75 kg * 9.8 meters/sec^2 * 1.5 meters

P.E. = 11.0325 kg*m^2/sec^2

Now kg*m^2/sec^2 = joules

so the answer is 11.0325 joules

The required potential energy of the jar is 11.0325 joules.

What is potential energy?

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.

Given that,

The height of self h = 1.5 m.

The mass of cookie jar m = 0.75 kg.

To find the potential energy of jar,

Use formula of Potential Energy

Potential Energy = m × g × h

where m = mass is in kg

Ang g is gravity.

And the value of g at the surface of the earth = 9.8 m/sec²

and height is in meters

Substitute the values here,

Potential energy = 0.75 kg * 9.8 meters/sec² * 1.5 meters

Potential energy = 11.0325 kg x m²/sec²

Since, kg x m²/sec² = joules

Potential energy = 11.0325 joules.

Hence the required answer is 11.0325 joules.

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What is the surface area of the retagular prism based on the net
A . 34cm
B . 70 cm2
C . 310 cm2
D . 350 cm3

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love u

Step-by-step explanation:

vertical Angles and Linear Pairs

Answers

Answer:

Two angles are vertical angles if their sides form two pairs of opposite rays. 5 and 6 are a linear pair. Two adjacent angles are a linear pair if the form a straight line. Linear Angle Pairs add up to 180°.

A television weather forecaster reported
that temperatures the previous night had
stayed between -6 °F and 2 ºf Which
of the following might have been the
temperature the previous night?
A -7 °F
B -3 °F
C 3 °F
D 9 °F

Answers

The answer is B. -3 ________

There are 5 yellow golf balls, 3 red golf balls, and 10 white golf balls in a bag. What are the odds of randomly choosing a yellow golf ball?

Answers

Answer:

5/18

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2

Carl coaches a youth basketball team. Pat is one of the players on the
team. The number of points Pat has made each game this season and
last season are shown in the table below.
This season 6, 12, 5, 4, 6, 8, 7
Last season 0, 3, 4, 6, 4, 9, 2, 1, 3, 4, 5
Carl decides which players to put on the court based on the third quartile
of the number of points they have made. How much higher is Pat's third
quartile this season than last season?

Answers

the q3 is just above the median so

Step-by-step explanation:

its higher by 5

Please help #5 only thank you !

Answers

Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

Help ASAP which transformation would take figure A to figure B

Answers

Answer:

The reflection over the x-axis

Answer:

a

Step-by-step explanation:

1. What is the volume of this prism?

A.36
B.63
C.16
D.54

Answers

Answer:D

Step-by-step explanation:

-2(t+7)=- 4t+12 what value of t makes the equation true

Answers

Answer:

T is 13

Step-by-step explanation:

-2(t+7)=-4t+12

-2t-14=-4t+12

2t=26

t=13

check answer:

-2(13+7)=-4(13)+12

-26-14=-52+12

-40=-40

Answer:

t is or equal to 13

Step-by-step explanation:

i done this before

Someone answer this please

Answers

Answer:

[tex] 1,334.5 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 17 cm

Radius of the cylinder r = 5 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]

What is the axis of symmetry for a parabola expressed by the quadratic equation? y=x^2+10x-25

Answers

Answer:

the axis of symmetry is: x=-5

In 2012, the population of Cincinnati, Ohio, was 296,550 with a population density of approximately 3800 people per square mile. What is the approximate land area of Cincinnati in square miles to the nearest whole number?

Answers

Answer:

≈ 78mi^2

Step-by-step explanation:

To find approximate land area:

296,550/3,800 = 78.039

Round to nearest whole number:

Area = 78

The temperature today will be 2 times lower than last year's temperature on the same day. What will today's temperature be if it was -8.2° last year?

Answers

Answer:

Two times lower than last year's temperature

Let today's Temperature be x

x/2 = -8.2°

x = -8.2°*2

x = -16.4°✓

In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.

Answers

Answer:

66.2°

Step-by-step explanation:

ΔSTU is a right triangle.

US and TU are legs, SU is opposite to ∠T.

Use tangent to find the measure of ∠T.

tan ∠T = 5.9 / 2.6tan ∠T = 2.269m∠T = arctan (2.269) = 66.2° (rounded)

What is the solution to the system of linear equations?

Answers

Answer:

C. (0, 2)

Step-by-step explanation:

The solution to the systems of linear equations is the coordinates of the point (x, y) where both lines of the equations intercept each other on the graph given.

Thus, the lines intercept at the point where when x = 0, y = 2.

Therefore, the solution = (0, 2).

Original price: $22 Discount percent: 25%

Answers

Answer: 16.5

Step-by-step explanation:

Original price is 22 remove 25% by multiplying 22 by 0.75

If trying to find the original price when the discount is 25% and the discounted price is 22 take 22 and divide it by 3 and then multiply it by 4


Y
P
Q
S
R
Part A
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle PQR'S' (not shown). What are the coordinates of point R?
0 (-7,6)
O (7,6)
• (-6,7)
O (6,7)
Part B

Answers

Answer:

The coordinates of point R are (7,6), second option

Step-by-step explanation:

Coordinates of point R:

The coordinates of point R are , so (6,-7).

90° counterclockwise rule:

The rule for a rotation of 90º counterclockwise is given by:

(x,y) -> (-y,x)

What are the coordinates of point R?

(6,-7) -> (-(-7),6) = (7,6).

The coordinates of point R are (7,6), second option

Claudia is making a gelatin dessert for a party. She plans on making 12 servings for every 5 people. If each pan Claudia uses to make the dessert holds 8 servings, what is the minimum number of these pans that she needs in order to make enough to feed 10 people?

Answers

Answer:

3

Step-by-step explanation:

Key Word: 12 servings for every 5 people. if she makes it to hold 8 servings, what is enough plans she needs to feed 10 people?

formula: so 12 for 5 then 24 for 10.

solving problem:

12 people over 5 people = x over 10 people

since 5 times 2 equals 10 then 12 times is 24.. so we need 24 servings

we know from reading the question that each pan makes 8 servings.

[tex]\frac{24}{8} = 3[/tex]

ANSWER : 3

Suppose sonar on the surface of the sea locates an
object at an angle of depression of 65° and a distance
of 320 feet.
How deep is the object?

Answers

9514 1404 393

Answer:

  290 ft

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(65°) = d/(320 ft)

  d = (320 ft)sin(65°) ≈ 290 ft

The object is about 290 feet deep.

22 -- Here is a solid made from a square-based pyramid and a cube.
Each edge of the solid has length 6 cm.
On the centimetre grid, draw the plan of this solid.
How do I draw the plan

Answers

Answer:

Step-by-step explanation:

The solid's plan, consisting of a pyramid with a square base and a cube whose edges are each 6 cm long, will be represented in the attached graph.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To draw the plan of a solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm, you can start by drawing the top view of the cube. Since the edges of the cube have a length of 6 cm, the top view of the cube will be a square with sides of 6 cm.

Next, you can draw the top view of the square-based pyramid.

A square-based pyramid is a pyramid with a square base, so the top view of the pyramid will be a square with sides of 6 cm, just like the top view of the cube. However, the top view of the pyramid will also have four triangular faces extending from the corners of the square, each with a height of 6 cm.

To complete the plan of the solid, you can simply place the top view of the pyramid on top of the top view of the cube, aligning the edges of the squares.

The resulting drawing will be the plan of the solid made from a square-based pyramid and a cube, with each edge having a length of 6 cm.

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Slove for the value of y

Answers

Answer:

2y+1+5y-3=180

7y-2+2=180+2

7y=182.

y=26 is the answer

Mathematics, 17.03.2021 23:50 burners
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects. Of every student studies at least one of the three subjects. Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.

Answers

9514 1404 393

Answer:

10 study all three8 study only math and chem

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

once -- those who study only one subjecttwice -- those who study exactly two subjectsthree times -- those who study all three subject.

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  [tex]\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right][/tex]

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

HELP ME PLEASE
I RLLY NEED IT

Answers

Answer:

2. (8, 5) and (2,9)

3. I don’t know how to show this to you.

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. Only half of all mice complete one particular maze in less than 18 seconds. A research thinks that a loud noise will cause the mice to complete the maze faster. She measures the proportion of 40 mice that completed the maze in less than 18 seconds with noise as a stimulus. The proportion of mice that completed the maze in less than 18 seconds is . The hypotheses for a test to answer the researcher's question are
a) H0: p = 0.5, Ha: p ≠ 0.5.
b) H0: p = 0.5, Ha: p < 0.5.
c) H0: p = 0.5, Ha: p > 0.5.

Answers

Answer:

Option c (H0: p = 0.5, Ha: p > 0.5) is the correct option.

Step-by-step explanation:

According to the question,

p = 0.5

We must check whether in less than 18 seconds the percentage including all razer mice finish a certain labyrinth is above half, which would be p > 0.5. It's over 1/2 the mouse with much less than 18 seconds to finish the maze.Throughout null H0, humans assert that the percentage of the particular period seems to be equivalent to that specified as well as that beneath theoretical frameworks, this same percentage is always < (less than) or > (greater than) or doesn't equal to the category as per the hypothesis matter.

The other given alternatives aren't related to the given explanation or the conditions. So the above is the right option.

Which triangle is similar to the one shown below?
3 cm
5 cm
4 cm

Answers

Answer:

C

Explanation:

they are in the ratio 1:2

The solution is Option C.

The triangle PRQ with sides 6 cm , 8 cm and 10 cm is similar to the triangle ABC with sides 3 cm , 4 cm and 5 cm and the ratio is 1 : 2

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Now , the measure of side AB = 3 cm

The measure of side BC = 4 cm

The measure of side AC = 5 cm

Now , let the second triangle be represented as ΔPQR

where , the measure of side PQ = 6 cm

The measure of QR = 8 cm

The measure of PR = 10 cm

The ratio of sides of the triangle is 1 : 2

So , the triangles ΔABC and ΔPQR are similar and the corresponding sides are also in the ratio

Hence , the similar triangle is with the sides 6 cm , 8 cm and 10 cm

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