Question

Include all hypothesis test with all four steps that are clearly labeled

include confidence intervals with all outputs as well as the CI itself

include which calculator function is used for each problem.

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 later	10	4	14	6	9	6	12	12

(be very careful when inputting your data; triple check, if necessary)

Answer 1

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Answer:

Find the mean and standard deviation for d as follows:

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