TWO SAMPLE HYPOTHESIS TEST FOR MEAN – INDEPENDENT SAMPLES: Eight college students were randomly divided into 2 groups of 4 each to test whether background music reduces studying capacity. Each person was tasked with memorizing a list of 20 words. Group 1 had music playing through earphones they were wearing. Group 2 was not distracted. The following are the number of words correctly remembered by each subject. Test whether the music reduces studying capacity at a .05 level of significance.

Group 1 -- DISTRACTED Group 2 – NOT DISTRACTED

Sample mean = 7

Sample size = 4

Sample std.dev. = 2.5 Sample mean = 14

Sample size = 4

Sample std.dev. = 3.5

3a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

3b) P-value = ________________

3c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

3d) Can we conclude that music reduces studying capacity? YES or NO (circle one)

TWO SAMPLE HYPOTHESIS TEST FOR PROPORTION: Before starting his campaign for mayor, Mr. Emory Board decided to do a study to see if there was a difference in the proportion of registered men and women voters who actually vote (so he would know whom to target his campaign toward). Of the 100 men and 150 women surveyed, 50 men and 100 women admitted to voting. What can he conclude at the .05 level of significance?

4a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

4b) P-value = ________________

4c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

4d) Can we conclude a difference in voting patterns for men vs. women?

YES or NO (circle one)

TWO SAMPLE HYPOTHESIS TEST FOR PAIRED SAMPLES: In a study of the effectiveness of a reducing diet, the following "before and after" figures (in pounds) were obtained for a sample of 4 adult women in their 30's. What can we conclude from these figures at a level of significance of .01?

Group 1 -- BEFORE Group 2 – AFTER

Woman #1

Woman #2

Woman #3

Woman #4 134

147

178

122 130

140

165

122

5a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

5b) P-value = ________________

5c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

5d) Can we conclude a difference in the two samples?

YES or NO (circle one)

Group 1 -- DISTRACTED Group 2 – NOT DISTRACTED

Sample mean = 7

Sample size = 4

Sample std.dev. = 2.5 Sample mean = 14

Sample size = 4

Sample std.dev. = 3.5

3a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

3b) P-value = ________________

3c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

3d) Can we conclude that music reduces studying capacity? YES or NO (circle one)

TWO SAMPLE HYPOTHESIS TEST FOR PROPORTION: Before starting his campaign for mayor, Mr. Emory Board decided to do a study to see if there was a difference in the proportion of registered men and women voters who actually vote (so he would know whom to target his campaign toward). Of the 100 men and 150 women surveyed, 50 men and 100 women admitted to voting. What can he conclude at the .05 level of significance?

4a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

4b) P-value = ________________

4c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

4d) Can we conclude a difference in voting patterns for men vs. women?

YES or NO (circle one)

TWO SAMPLE HYPOTHESIS TEST FOR PAIRED SAMPLES: In a study of the effectiveness of a reducing diet, the following "before and after" figures (in pounds) were obtained for a sample of 4 adult women in their 30's. What can we conclude from these figures at a level of significance of .01?

Group 1 -- BEFORE Group 2 – AFTER

Woman #1

Woman #2

Woman #3

Woman #4 134

147

178

122 130

140

165

122

5a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)

5b) P-value = ________________

5c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)

5d) Can we conclude a difference in the two samples?

YES or NO (circle one)

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