Question

A study is done to determine whether regular exercise improves short term episodic memory. Researchers randomly select a group of 10 people that do not get regular exercise and give them 1 minute to memorize a list of 40 words. After this, they record how many words each person was able to recall.

Then, they have everyone in the sample complete an hour of vigorous exercise every day. After eight weeks they again give each person 1 minute to memorize a different list of 40 words, and record how many words each person remembered. The number of words that each person recalled correctly before vs. after the exercise regimen are listed in the table below.

Test the claim that exercise improves memory at a significance level of α=0.1α=0.1.

Person	Elaine	George	Jerry	Kramer	Newman	Dolores	Estelle	Mickey	Susan	Frank
Before Exercise	37	38	19	30	22	32	37	26	11	24
After Exercise	36	39	16	30	28	35	38	31	15	35

(Note: Feel free to use Excel or other computational software to help compute your test statistic.)

(b) The critical value is

(c) The test value is

(d) Based on our results, we
A. Do not reject H0
B. Reject H0

(e) The final conclusion is that
A. There is not enough evidence to suggest that exercise makes a difference in short term memory.
B. Research supports that regular exercise improves short term memory.

Answer 1

from above:

b) critical value is =1.3830   ( please try -1.3830 if this comes incorrect)

c) test statistic =2.1191 ( please try -2.1191 if this comes incorrect)

d) B. Reject H0

e)_B. Research supports that regular exercise improves short term memory.