7. {Hypothesis test with sample statistic} Test the hypothesis that the average student studies 14 hours per week. You have a random sample from the population and the students report honestly. Your sample mean . = 18, you have a sample size of 200, and the standard error of the mean is 2, (3801) = 2). a. State your null and alternative hypothesis. b. Estimate your t-statistic c. Conduct your signicance test at the 5 percent level. Do you reject the null? (1. Explain in non technical language what you conclude about the null hypothesis. 3. If you had a sample size 10 rather than 200, would you still be able to conduct a signicance test of the location of the mean? Why or why not? (hint what distribution would you check your t-statistic against)