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23 Nov 2021
Problem 115
Page 516
Section: HOMEWORK
Chapter 9: HYPOTHESIS TESTING WITH ONE SAMPLE
Textbook ExpertVerified Tutor
23 Nov 2021
Given information
Instructions: For the following ten exercises,
Hypothesis testing: For the following ten exercises, answer each question.
State the null and alternate hypotheses.
State the p-value.
. State alpha.
. What is your decision?
Write a conclusion.
Answer any other questions asked in the problem.According to the N.Y. Times Almanac, the mean family size in the U.S. is 
. A sample of a college math class resulted in the following family sizes:
. A sample of a college math class resulted in the following family sizes:
Step-by-step explanation
Step 1.
We are given to use a two-tailed test. That’s why the alternative hypothesis has 
sign. Reject the null hypothesis if 
.
The sample of 
families is as follows:
The null hypothesis states that the mean family size in the U.S. is .In symbols:
The alternative hypothesis states that the mean family size in the U.S. is not . In symbols:
Step-by-step procedure to obtain the test statistic and 
value using the 
calculator:
- Press Stat > EDIT > Edit.
- Enter data in L1.
- Press Stat > TESTS > 2: T-Test…
- Enter data as shown below:
- Highlight Calculate and press enter.
Output using the calculator is given below:
Since the null hypothesis is rejected, we can conclude that the mean family size in the U.S. is not 
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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208
Solutions
Chapter
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- Problem 62a
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