\fA health and wellbeing committee claims that working an average of 40 hours per week is recommended for maintaining a good work-life balance. A random sample of 39 full-time employees was surveyed about how many hours they worked; the data are recorded in the Excel file WorkingHours.xIsx . You may assume that the data come from a population that is normally distributed. Use Excel and an appropriate hypothesis test to answer the following research question: Research Question: Are full-time employees working an average of 40 hours per week? 1. (1 mark) What is the sample mean? hours (2dp) 2. (1 mark) What is the sample standard deviation? hours (3dp) 3. (1 mark) The most appropriate hypothesis test for these data is 4. (1 mark) The null hypothesis is that the average working hours equal (Hint: this is the value of ag in the Ho: # = po) 5. (2 marks) What is the absolute value of the test statistic? (3dp) 6. (2 marks) Is the p-value for this test statistic greater or less than 0.05? 7. (1 mark) What is the most appropriate conclusion for this test? A. The average working hours are significantly different from the 40 hours claimed by the health and wellbeing committee. The average working hours possibly increased. B. The average working hours are significantly different from the 40 hours claimed by the health and wellbeing committee. The average working hours possibly decreased. C. The average working hours are consistent with the 40 hours claimed by the health and wellbeing committee. 8. A health and wellbeing committee member believes that the average working hours per week have shifted due to the COVID-19. S/he wants to estimate the 95% confidence interval for the population mean using a random sample of 39 full-time employees. Their average working hours are 47 hours, and the standard deviation is 5.3 hours. a. (1 mark) The Absolute Value of the Critical Value for a 95% confidence interval is (3dp) b. (1 mark) Lower Bound = hours (2dp) c. (1 mark) Upper Bound = hours (2dp)\fthe p-value is greater than 0.05 the p-value Is less than 0.05