Please use the following for the next 7 questions. A random sample of 172 students was asked to rate on a scale to from 1 (not important) to 5 (extremely important) health benefits as a job characteristic (note that the rating scale can also have decimals, i.e. a student can give a rating of 1.32). The sample mean rating was 3.31, and the sample standard deviation was 0.70. For a type I error of 1% (alpha), can you be reasonably certain that the average rating is more than 3 in the population?
State the null and alternative hypotheses.
Specify the rejection region for = 0.01. Reject H0 if
- Calculate the test statistic
- What is your conclusion?
- Obtain the lower bound of a 99% confidence interval for the mean rating
- Obtain the upper bound of a 99% confidence interval for the mean rating.