Question

a. all Hypothesis Tests must include all four steps, clearly labeled;

b. all Confidence Intervals must include all output as well as the CI itself

c. include which calculator function you used for each problem.

4. In a study of memory recall, eight students from a large psychology class were selected at random and given 10 minutes to memorize a list of 20 nonsense words. Each was asked to list as many of the words as he or she could remember both 1 hour and 24 hours later. The data are as shown in the accompanying table. Use these data to estimate the difference in mean number of words remembered after 1 hour and after 24 hours. Build and interpret a 90% confidence interval. It is safe to assume an approximate normal distribution.

Student	1	2	3	4	5	6	7	8
1 Hour Later	14	12	18	7	11	9	16	15
24 Hours Laster	10	4	14	6	9	6	12	12

Answer 1

Find the mean and standard deviation for d is

Mean:

Standard deviation:

sd/sqrt(n) = 2.066/sqrt(8) = 0.73044

For constructing 90% CI the t-critical value is 1.41923

The CI is mean +- 1.419*SD/sqrt(n)

= 3.625 +- 1.419*0.73044

= 2.5883 , 4.6617

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