12 13 14 14 15 15151616161616 1717 1718 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=0.73 t=3.56 t=-3.56 t=-0.73 Question 8 (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 their 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. Then the correct value of the test statistic is 3.04 0.1504 2.093 1.729 Question 9 (1 point) 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 professional 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 is used in this test. Then, the critical t-value (t*) with a 5% significance level is t* =-2.069 t* =1.714 * t =-1.714 t* =2.069 Question 10 (1 point) 12 13 14 14 15 15 15 16 16 161616 1717 17 18 18 18 18 1919 192021 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. Derive a conclusion about the this hypothesis test if the test is conducted at x= 10%. We fail to reject the null hypothesis. The firm does not need to institute an incentive program because there is strong evidence indicating that professional employees already volunteer more than 15 hours per month, on average. We fail to reject the null hypothesis. The firm should institute an incentive program because there is evidence indicating that professional employees volunteer less than 15 hours per month, on average. We reject the null hypothesis. The firm does not need to institute an incentive program because there is strong evidence indicating that professional employees already volunteer more than 15 hours per month, on average. We reject the null hypothesis. The firm should institute an incentive program because there is evidence indicating that professional employees volunteer less than 15 hours per month, on average. Question 11 (1 point) Based on a sample of size 25, the following regression equation is derived: =25+0.6X. If the standard error of the regression slope is equal to 0.06, what is the value of the test statistic to test if the predictor variable is significant (1 is not zero)? 5 10 2 4.1 Question 12 (1 point) Based on a sample of size 27, we have found a correlation coefficient of 0.5. What is the value of the test statistic to test if the population correlation coefficient is not zero (p is not zero)? 1.6 0.98 2.9 2.2