Question 10 (1 point) The cost of a university education has increased at a much faster rate than other living expenses in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. Suppose a hypothesis test is done to test this belief. A random sample of 20 students was selected, and it was found that the sample mean is 20.4 and the standard deviation is 11.891. compare t" ( critical value of t) at an level of 5% and the test statistic to draw a conclusion about the hypothesis. Choose the correct answer. we support the alternative hypothesis; there is strong evidence to suggest that students work more than 20 hours per week. we fail to reject the null hypothesis. There is strong evidence to suggest that students work more than 20 hours per week, on average. we reject the null hypothesis. we fail to reject the null hypothesis, and there is no evidence to suggest that students work more than 20 hours per week. Question 11 (1 point) For larger number of samples (e.g greater than 1000), the t-distribution can be approximated by the normal distribution. True False Question 12 (1 point) The cost of a university education has increased at a much faster rate than other living expenses in general over the past twenty years. In order to compensate for this, many students work part- or full-time in addition to attending classes. At one university, it is believed that the average number of hours students work per week exceeds 20. Suppose 20 students were selected randomly and their weekly work hours were observed. Then a hypothesis test was done to test this belief. Then t (critical value of t) at an level of 5% is * 2.086 2.093 1.729 1.725 Question 13 (1 point) 12 13 14 14 15 15 15 16 16 16 16 16 1717 17 18 18 18 18 19 19 19 20 21 A large software development firm recently relocated its facilities. Top management is interested in fostering good relations with their new local community and has encouraged their employees to engage in local service activities. They want to test if the firm's professionals volunteer an average of more than 15 hours per month. If this is not the case, they will institute an incentive program to increase community involvement. A random sample of 24 professionals reported are shown in the above table. The average and standard deviation of volunteered hours in the sample are 16.625 and 2.223 hours, respectively. Find the appropriate t-statistic (t value) the company should use in order to test if the average hours volunteered by employees at their company is greater than 15 hours? Note: 1- Round intermediate numbers to 4 decimal places. 2- Choose the option that is closest to your answer. t=3.56 t=-0.73 t=-3.56 t=0.73