Question 1 (15 points) 1. 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 altemative hypotheses in Dr. Cheung's study. (1 point) d. Calculate the pooled variance s. (2 points)e 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)
Question 1 (15 points) 1. 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 altemative hypotheses in Dr. Cheung's study. (1 point) d. Calculate the pooled variance s. (2 points)e 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)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question 1 (15 points).
1. 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 altemative hypotheses in Dr. Cheung's study. (1 point)e
d. Calculate the pooled variance s. (2 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)e
f. Compute estimated Cohen's d. Comment on the effect size. (2 points)
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