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Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset Vaia Explanations$ Math

OER 2018 Edition · 902 pages

ISBN: 9781938168208

Chapter 10: Q. 66 (page 599)

Draw the graph of p-value

Short Answer

Expert verified

By using applet, we get that p-value is $0.00669$

Step by step solution

Given Information

The differences are given as:

$- 2, - 1, - 2, - 2, - 4, - 8, 0, - 4$

Mean and Standard Deviation of differences

The Mean of differences is $- 2.875$

The standard deviation of differences is $2.474874$

Calculation

By using the formula we can find the value of test statistic as:

$t = \frac{\bar{X}}{s d} \sqrt{n} = \frac{- 2.875}{2.474874} \sqrt{7} = - 3.2857$

Graph

The graph is as:

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Most popular questions from this chapter

What is the p-value?

What is the sample mean difference?

A study is done to determine if Company A retains its workers longer than Company B. Company A samples $15$ workers, and their average time with the company is five years with a standard deviation of $1.2 .$ Company B samples $20$ workers, and their average time with the company is $4.5 years$ with a standard deviation of $0.8 .$ The populations are normally distributed.

a. Are the population standard deviations known?

b. Conduct an appropriate hypothesis test. At the $5 %$ significance level, what is your conclusion?

Use the following information to answer the next five exercises. A researcher is testing the effects of plant food on plant growth. Nine plants have been given the plant food. Another nine plants have not been given the plant food. The heights of the plants are recorded after eight weeks. The populations have normal distributions. The following table is the result. The researcher thinks the food makes the plants grow taller.

What is the p-value?

According to a television commercial, $80 %$ of dentists agree that Ultrafresh toothpaste is the best on the market.

Indicate if the hypothesis test is for :-

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

See all solutions

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Draw the graph of p-value

Short Answer

Step by step solution

Given Information

Mean and Standard Deviation of differences

Calculation

Graph

One App. One Place for Learning.

Most popular questions from this chapter

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