1. A teacher wants to investigatewhether there is a difference between male and
ID: 2955004 • Letter: 1
Question
1. A teacher wants to investigatewhether there is a difference between male and female students inthe amount of time they spend studying for statistics. The tablebelow shows the amount of time students spend studying statisticseach week. The amounts of time spent studying are normallydistributed.
Male
Female
27
25
25
29
19
18
10
23
16
20
17
15
15
19
a. What statistical test shouldbe used to analyze the data?
b. Is this a one- or two tailedtest?
c. Identify H0 andHa for this study.
d. Conduct the appropriate analysis.Should H0 be rejected?
Male
Female
27
25
25
29
19
18
10
23
16
20
17
15
15
19
Explanation / Answer
(a) unpaired t test (b) two tailed test (c) Ho:m=f Ha:m not equal f (d) Group Male Female Mean 18.43 21.29 SD 5.88 4.72 SEM 2.22 1.78 N 7 7 The test statistic is t=(18.43-21.29)/(5.88^2/7 + 4.72^2/7) =-1.003 The two-tailed P value equals 0.3359 By conventional criteria, this difference is consideredto be not statistically significant.
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