Answer the following question. Please show all your working.
Your boss has asked you to collect data on how much time people watch TV (so your company can decide whether to invest in television advertising). He is curious whether people watch more than 5 hours of TV a day. You survey 500 people and calculate a sample mean of 5.1. You want to test the null hypothesis that people watch more than 5 hours of TV a day. Can you say whether or not you will reject the null hypothesis (without actually doing the calculations)? Explain your answer.