1. A market research analyst is testing whether the average age of members of a community who own a Dell Desktop Computer is greater than 21.3 year. There are 4,780 members in that community. He selected a random sample of 8 members and their ages are shown in table below. Variance of age of all members of the community is unknown to the analyst. Age 21 23.3 25.7 19.8 34.1 34 24 22.1 a) State Null and Alternative hypothesis for this test and calculate the appropriate test statistic. (5 points) b) Assuming significance level of 0.10, perform the appropriate test, state your conclusion on rejecting or not rejecting the Null hypothesis, and explain what the marketing analysis can learn from the outcome of the test. (5 points) SHOW ALL YOUR WORKS including calculations of test statistic, using software is not acceptable for this