Section 9.3 Homework Question 3 Answer

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Section 9.3 Homework 

3.  Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts​ (a) and​ (b) below.

 

a. Use a

significance level to test the claim that among couples, males speak fewer words in a day than females.

 
In this example,

is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?

 
 

Identify the test statistic.

Identify the​ P-value.

What is the conclusion based on the hypothesis​ test?

Since the​ P-value is ________  the significance​ level, _________the null hypothesis. There _______ sufficient evidence to support the claim that males speak fewer words in a day than females.

 

Construct the confidence interval that could be used for the hypothesis test described in part​ (a). What feature of the confidence interval leads to the same conclusion reached in part​ (a)?

The confidence interval is

What feature of the confidence interval leads to the same conclusion reached in part​ (a)?

Since the confidence interval contains ________, ____________the null hypothesis.

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This question is taken from Math 10 – Introduction to Statistics » Summer 2021 » Section 9.3 Homework