Problem 2: A student conducted a survey about sleep and its possible effect on GPA. They randomly sampled 20 students, 10 who stated that they slept for 7 hours or more per night (the recommended amount of sleep some researchers say one should get) and 10 who stated that they slept less than 7 hours per night. Both groups stated their estimated GPA. Analyze the data using the appropriate techniques and write a conclusion about the results.

Those who sleep 7 or more hours per night	Those who sleep less than 7 hours per night
4	4
3.87	3.59
3.8	3.57
3.65	3.32
3.57	3.25
3.54	3.08
3.08	3.03
2.97	2.85
2.88	2.33
2.81	2.23

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

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

1. State your alpha level:

1. 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)

1. find the test statistic first

1. find the df

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

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

1. p-value approach:

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