The average Twitter user has an average of 707 followers with a standard deviation of 187. A sample of 64 professional consultants showed an average of 758 followers. We are interested in determining whether or not professional consultants are significantly different from Twitter average users.
a. State the null and alternative hypotheses to be tested.
b. Compute the test statistic.
c. The null hypothesis is to be tested at 95% confidence. Determine the critical value(s) for this test.
d. What do you conclude? How do interpret your conclusion?