Question
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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