In: Statistics and Probability
The university wants to examine whether students spend enough time on their remote classes after switching to the online teaching. The university staff sends a survey to 50 random students and asks for the study time per week after the spring break. The mean study time per week of the sample is 25.5 hours. It is believed that the population standard deviation is 3.5 hours. The university wants to know whether the students have spent at least 23 hours per week on average in their remote study.
What is the correct form of the statistical hypothesis?
What is the value of the test statistics?
If you decide to use the critical value approach to perform the test, what is the corresponding critical value for the test at 95% confidence level?
If you decide to use the P-value approach to perform the test, what is your P-value?
What is your conclusion at the 95% confidence level?