How to Analyze Students' Homework Patterns and Changes in Women's Work Week
What statistical tests are appropriate to analyze students' homework patterns and changes in women's work week?
To analyze students' homework patterns, what test should be used?
For studying changes in women's average work week, what test should be used to determine if there is a significant increase compared to the past at the 5 percent significance level?
Statistical Tests for Analyzing Students' Homework Patterns and Changes in Women's Work Week
To analyze students' homework patterns, a chi-square test for goodness of fit is appropriate.
For studying changes in women's average work week, a one-sample t-test is used to determine if there is a significant increase compared to the past at the 5 percent significance level.
As mentioned in the data, to determine whether the nights for the highest number of students doing the majority of their homework occur with equal frequencies during a week, you could use a chi-square test for goodness of fit. This test would allow you to compare the observed frequency of homework nights against the expected frequency if they were evenly distributed throughout the week.
Regarding the study on whether the mean work week for women has increased, you would use a one-sample t-test to determine if there is a statistically significant difference between the sample mean (83 hours) and the population mean (80 hours) reported in 1955. Given the sample mean of 83, standard deviation of 10, and sample size of 81 women, the one-sample t-test can tell us if the mean work week has increased for women at the 5 percent significance level.