The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at a large university administered CARS to 80 business students. One of the objectives of the study was to determine whether there is a difference between the level of computer anxiety experienced by female students and male students. Of the 80 student survey takers, 40 were male, 40 were female. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run with a 95% level of confidence. Males Females Sample Mean 40.26 36.85 Sample Standard Deviation 13.35 9.42 (a) Find the difference between these sample means. (b) Find the variance of the male sample. (c) Find the variance of the female sample. (d) Which test should be ran to determine if there is evidence of a difference in computer anxiety experienced by males and females? i. A paired t-test ii. A t-test for the difference between two means that have shown having unequal variances. iii. A pooled variance t-test for the difference between two means iv. Z Test for the Mean, sigma known
The Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at a large university administered CARS to 80 business students. One of the objectives of the study was to determine whether there is a difference between the level of computer anxiety experienced by female students and male students.
Of the 80 student survey takers, 40 were male, 40 were female. The results are in the table below for statistical analysis of variability between the two samples. All of these analyses are run with a 95% level of confidence.
|
|
Males |
Females |
|
Sample |
40.26 |
36.85 |
|
Sample Standard Deviation |
13.35 |
9.42 |
(a) Find the difference between these sample means.
(b) Find the variance of the male sample.
(c) Find the variance of the female sample.
(d) Which test should be ran to determine if there is evidence of a difference in computer anxiety experienced by males and females?
i. A paired t-test
ii. A t-test for the difference between two means that have shown having unequal variances.
iii. A pooled variance t-test for the difference between two means
iv. Z Test for the Mean, sigma known
Step by step
Solved in 2 steps
