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A researcher decided to study a random sample of 20 people, ten males and ten females. The average hours of sleep for males and females

A researcher decided to study a random sample of 20 people, ten males and ten females. The average hours of sleep for males and females was recorded in the table below. Use a t-test to find the effect of sex on sleep.

mean hours of sleep males

mean hours of

sleep females

7 6.5
7.5 8
6.5 9
6 6
5.5 7
7 7
5 7.5
6 6
6 8
7 7

A. Name the type of t-test that you will use and why you will use that one.

B. State the null and alternative hypothesis in symbols and in words.

C. State your alpha level:

D. Perform a hypothesis test using the table approach & the p-value approach

1. t-table approach (comparing the computed t to the t in the table)

a. find the test statistic first

b. find the df

c. find the t in the table to create the rejection region

d. make a decision: compare the test statistic to the rejection region created by the t from the table.

2. p-value approach:

E. What is your conclusion, in words and using the appropriate statistics (t test statistic, df, p-value)?

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