Questions 7-13: A satelite dish is supposed to have a nominal diameter of 40 inches. A random sample of 100 satelite dishes is selected and the average diameter of these dishes X is 40.384 inches. Dish diameter is known to be normally distributed with standard deviation or = 3 inch. Let / denote the population mean dish diameter in inches. We are going to test if the average dish diameter differs from the nominal diameter. 7. What are the appropriate Ho and HA? O Ho : H = Ho and HA : # # Ho with Ho = 40.384 O Ho : H = Ho and HA : / > Ho with Ho = 40 O Ho : H = Ho and HA : H > Ho with Ho = 40.384 O Ho : H = Ho and HA : H # Ho with Ho = 40 8. What is the value of the test statistic? O 1.96 O -1.28 O 0.84 1.28 O -1.64 9. What is your conclusion using o = 0.135? O Fail to reject HA O Fail to reject Ho O Reject Ho O Reject HA O Accept Ho 10. What is the p-value? O 0.169 O 0.16 O 0.165 O 0.149 O 0.211. What is your conclusion using o = 0.237? O Reject Ho O Reject HA O Fail to reject Ho O Accept Ho O Fail to reject HA 12. Find a 95% confidence interval for /. O (40, 40.768); O (40.636, 40.132); O (39.796, 40.972) O (39.685, 41.083); O (39.892, 40.876); 13. What sample size would be required so that the width of the 95% confidence interval for / is at most 0.1? O 13830 O 13799 13821 13871 13853