A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test

Answers

Answer 1

Answer:

Independent of the unknown population standard deviation σ

Step-by-step explanation:

It is one tailed test so the data is right skewed.

The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.

Here the number of degrees of freedom in = n-1= 35- 1= 34

This is the only parameter of the t distribution.

The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.


Related Questions

In which quadrant would you find the point 4 and 8

Answers

Answer:

Quadrant 1

Step-by-step explanation:

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 61% C: Scores below the top 39% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that [tex]\mu = 72.3, \sigma = 8[/tex]

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.34 = \frac{X - 72.3}{8}[/tex]

[tex]X - 72.3 = 1.34*8[/tex]

[tex]X = 83[/tex]

The minimum score required for an A grade is 83.

A rubber ball is dropped from a height of 50 feet. Assume that each bounce of the ball is vertical
and that each bounce reaches a height of of the maximum height of the previous bounce. Wh.
will be the maximum height the ball reaches on the seventh bounce (rounded to the nearest
hundredth of a foot)?
13.95 feet
6.82 feet
11.63 feet
16.74 feet

Answers

Answer:

You left out a critical piece of information in the question.

"reaches a height of of the maximum height"

Step-by-step explanation:

Which Table Shows a Proportional Relationship? (no links :)

Answers

Answer:

a

Step-by-step explanation:

as x goes up by 1 y goes up by 4

The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal. What is the smallest level of significance at which the null hypothesis will still not be rejected

Answers

Answer:

The smallest level of significance at which the null hypothesis will still not be rejected is 0.05.

Step-by-step explanation:

The [tex]p-[/tex] value of t-test is [tex]0.725009[/tex]. This [tex]p-[/tex] value is greater than [tex]0.05[/tex].

Hence, the null hypothesis is not rejected and conclude that there is no sufficient evidence of a difference in the mean amount of time required to reach a customer service representation between two hotels.

The complete question is :

If you extend a rectangle along its 3rd
dimension, you form a
A.cylinder
B.cube
C.rectangular prism
D.triangular prism

Answers

Answer:

C. rectangular prism

Step-by-step explanation:

Draw the image of figure RSTU after a translation 2 units left and 2 units down and a reflection across the y-axis.

Answers

Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:

Answer:

Step-by-step explanation:

Slide it to the left and 2 units down

What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash ( 1 ) as the fraction bar. Do not enter
your answer as a decimal number or an equation.

Answers

WhT line tho is there more info

The slope of line shown in the graph is 1.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have two points from the graph as (8, 8) and (5, 5)

So, the slope of line

Slope = (5- 8)/ (5-8)

slope= (-3)/ (-3)

slope = 1

Also, rise 3 units and run 3 units

Then, slope= Rise/ Run

slope= 3/3

Slope= 1

This, the required slope is 1.

Learn more about Slope here:

https://brainly.com/question/16428551

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solve the equation: 1/2n - 3 = 5

Answers

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

1/ 2 n−3=5

Step 1: Add 3 to both sides.

1/ 2 n−3+3=5+3

1/ 2 n=8

Step 2: Multiply both sides by 2.

2*( 1/ 2 n)=(2)*(8)

n=16

Answer:

n=16

Answer:

n=16

Step-by-step explanation:

First you have to do 3+-3 to cross it out

then you have to add 3 to 5

lastly divide 8 and 1/2

Then you get your answer.

please help with these questions (no links)

Answers

if the cakes are circles,
3.14(4)2= 50.24
3.14(5)2= 78.5
78.5-50.24= 28.26

#1 is 28.26

Luisa’s bank offers a 13% simple interest rate on investment accounts. How much money would Luisa haved in her account if she invests $2,000 for 4 years?
i apriciate any help, thank you!

Answers

Answer:c

Step-by-step explanation:

Keri pours 6 glasses of juice. Each glass holds 34 cup. How many cups of juice does Keri pour?

Answers

Answer:

3/4x6=4.5

Step-by-step explanation:

If Keri pours 6 glasses that each contain 3/4 cups than If she where to pour all of them than It would be 3/4*6 to represent the amount of cups to glasses and then the answer would be 4.5 C.

In all glasses combined their will be 4.5 cups of water!

Fractions are written as a ratio of two integers.  If Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice

Ratio and proportions

Fractions are written as a ratio of two integers.


If Keri pours 6 glasses of juice and each glass contains 3/4 cup, hence the total cups of juice poured is expressed as:

Total cups of juice poured = 3/4 * 6

Total cups of juice poured = 4.5

Hence if Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Millilitre are used to measure the large amount of volume

Answers

Answer:

false

Step-by-step explanation:

Consider the three isotopes of carbon. What do the three isotopes have in common? Choose all that apply.
A)
They have the same atomic number.
B)
They have the same number of protons.
c)
They all have four valence electrons.
D)
They have the same number of neutrons.
E)
They have the same average atomic mass number,

Answers

Answer:

a) they have the same atomic number.

c) they all have 4 valence electrons.

En una prueba de duración para determinar la vida útil de un nuevo tipo de lámpara lanzada al mercado, los datos de la muestra se distribuyeron de manera casi normal. Se calculó una vida útil
promedio de 7000 hrs. y una desviación de 520 hrs. Halla el porcentaje de lámparas que tendrán
una vida útil
a) entre la media y 7600hrs.
b)entre 6500 hrs y 7600 hrs.
c) mas de 7600

Answers

Answer:

no habla espenol :((

Step-by-step explanation:

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.
Determine the value of q

Answers

Answer:

q = 26

Step-by-step explanation:

Given the point (3, q ) lies on the line then the coordinates satisfy the equation.

Substitute x = 3, y = q into the equation

q = 8(3) + 2 = 24 + 2 = 26

Answer:

[tex]\rm q = 26[/tex]

Step-by-step explanation:

Given :-

The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.

And we need to find out the value of q. Since the point lies on the given line , it will be a solution of the line. On substituting the values of x and y , we have ,

Given line :-

[tex]\rm\implies y = 8x + 2 [/tex]

Substituting the respective values :-

[tex]\rm\implies q = 8*3 + 2 \\\\\rm\implies q = 24 + 2 \\\\\rm\implies \boxed{\rm q = 26 }[/tex]

Hence the value of q is 26 .

NEED ANSWER FAST PLEASE
!! Marty keiths annual salary is 56,000 as a computer- aided designer. If the state tax is 4% what does he pay yearly in state taxes?

Answers

Answer:

$3240.Step-by-step explanation:

there is no way to explain it on computer but hope this helps

$2,240

Convert the 4% to a decimal by dividing by 100 = 0.04

56,000 x 0.04 = 2,240

What is the answer to 4(10 + 9)

Answers

Answer:

76

Step-by-step explanation:

10+9= 19

19*4=76

Answer:

76

Step-by-step explanation:

1 Simplify  10+910+9  to  1919.

4\times 19

4×19

2 Simplify.

76

76

Find the x-intercept and y-intercept of the line −2x − 2y = −2. Use the intercepts to graph the equation.

Answers

Answer:

Step-by-step explanation:

The x-intercept is 1, the y-intercept is 1. Convert it to slope-intercept form, then plug in 0 for y to find the x-intercept.

ATTEMPT SCORE 7 / 13 01 Fill in the Blank Text Fill in the blanks to show the product. 1. (x2 + 6) (2 - 4) = x T 2 + 2 2 + 24 2. (2x + 5)(x - 3) = 2 x 2 + 1 C + 15 3. (3x + 2)(2.x + 5) = 6 + 19 2 + 10 4. (2x - 1)(x - 5) = 2 22 +11 2 + 5 02 Math Short Answer they said I got it wrong so please help.​

Answers

Fill in the blanks to show the product number 1X2

14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°

Answers

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *

Answers

Answer:

50.965.01

Step-by-step explanation:

backk from ban!!!!!!!!

Answers

Oookkkkkkkkkkkkkkkkkkkll

This is 4 questions so you can get 50 points......

Answers

Answer:

...........................................................................................................................................................................................i really dont know

Step-by-step explanation:

Write 0.00000000000000000000000000167 as a multiple of a power of 10.

Answers

Answer:

1.67x10^-27

hope this helps

have a good day :)

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.

Graph the equation below using the slope and y-intercept form.

Answers

Answer:

Answer below

Step-by-step explanation:

The y-intercept is 2, so you know that one point will be (0,2). The slope is 2/3 so you go 2 units up and 3 units to the right from (0,2).

According to the 2000 U.S. Census, 80% of Americans over the age of 25 have earned a high school diploma. Suppose we take a random sample of 120 Americans and record the proportion, p, of individuals in our sample that have a high school diploma.

Answers

Answer:

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

80% of Americans over the age of 25 have earned a high school diploma.

This means that [tex]p = 0.8[/tex]

Suppose we take a random sample of 120 Americans

This means that [tex]n = 120[/tex].

Question a:

The mean is:

[tex]\mu = p = 0.8[/tex]

The mean is 0.8.

Question b:

The standard deviation is:

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.8*0.2}{120}} = 0.0365[/tex]

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

a) The mean is 0.8.

b) The standard deviation is 0.0365.

c) Normal

Here, we have,

we know that,

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean x and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean x and standard deviation s = σ/√n .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean x=p and standard deviation s=√p(1-p)/n

80% of Americans over the age of 25 have earned a high school diploma.

This means that p=0.8

Suppose we take a random sample of 120 Americans

This means that n=120.

Question a:

The mean is:

x=p=0.8

The mean is 0.8.

Question b:

The standard deviation is:

s=0.0365

The standard deviation is 0.0365.

Question c:

By the Central Limit Theorem, approximately normal.

Learn more about standard deviation here:

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Insert the greater than, less than, or equal sign (>, <, or =) to make each statement true.
a. 45⁄45 ____1
b. 1____ 6⁄3
c. 2⁄7 ____1
d. 64⁄23 ____1

Answers

Answer:

a. 45/45 = 1

b. 1 < 6/3

c. 2/7 < 1

d. 64/23 > 1

Find the volume of the following cylinder in cubic inches

Answers

Answer:

Option (1)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here, V = Volume

r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

r = 8 in.

h = 0.5 in.

By substituting these values in the formula,

V = π(8)²(0.5)

  = 32π

  = 32(3.14)

  = 100.48 in³

Therefore, Option (1) will be the correct option.

Help me with this please!

Answers

The answer is the first one
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