It seems these days that college graduates who are employed full-time work more than 40-hour weeks. Data are available that can help us decide if this is true. A survey was recently sent to a group of adults selected at random. There were 15 respondents who were college graduates employed full-time. The mean number of hours worked per week by these 15 respondents was 42 hours, with a standard deviation of 8 hours.
Assume that the population of hours worked per week by college graduates employed full-time is normally distributed with mean, mu . Can we conclude that mu is greater than 40 hours? Use the 0.1 level of significance.
Type of test statistic? (z, t, chi squared, f)
What is the value of the test statistic? (Round to at least three decimal places)
What is the p-value? (Round to at least three decimal places)
Can we conclude, at the 0.1 level of significance, that the mean number of hours worked per week by college graduates is greater then 40 hours?
Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.