A study compares the statistics anxiety between male and female students. A questionnaire, ranging from 0 (no anxiety) t

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A study compares the statistics anxiety between male and female
students. A questionnaire, ranging from 0 (no anxiety) to 100
(highest level of anxiety), is administered by Dr. Cheung. He is
interested in whether female students have a higher mean statistics
anxiety than male students. A sample of 9 females students had a
mean of 74.7 with a sample standard deviation of 7.2. Dr. Cheung
also collected a sample of 14 male students and the raw data for 13
males students are as follows:
67
72 74
65
62 60
70
63
58
69 70
75
73
Assume both populations are approximately normal with equal
variances.
a. Jeff score was 71 in the
statistics anxiety test. What was his percentile rank in the
sample? (1 point)
b. Calculate the mean, median and
standard deviation for all the 14 male students, correct to 1
decimal place. (3 points)
c. State the null and alternative
hypotheses in Dr. Cheung’s study. (2 points)
d. Calculate the pooled
variance sp2.
(3 points)
e. Test whether female students
have a higher mean statistics anxiety than male students at 0.01
significance level. Indicate the degree of freedom in the test
clearly. (6 points)
f. Compute estimated
Cohen’s d. Comment on the effect size.
(2 points)