A company wants to promote a new product to college students using social media. According to 2020 data,the average Facebook user has about 300 friends, and Facebook is the most popular social network among college students. The company has decided to start an advertising campaign if they get conclusive evidence that the average number of Facebook friends among college students is over 300. The company randomly selected a sample of 51 Ontario college students. For this sample group, the mean is 315 and the standard deviation is 21. Suppose that the distribution of number of Facebook friends is symmetric and approximately bell-shaped. Use a 0.020 level of significance to test the claim that the average number of Facebook friends among college students is over 300. Based on the result, should the company start the advertising campaign?

(a) State the null and alternative hypotheses, and identify which one is the claim.

b) What is the critical t value?

C.) what is the test statistic?

(d) Is the null hypothesis rejected? Is the alternative hypothesis supported?