Test the hypothesis that the average content of containers of a particular lubricant is 10 liters if the contents of the random sample of ten containers are 10.2, 9.7,10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, and 9.8 liters. Use a 0.01 level of significance and Assume that the distribution of contents is normal.
Past experience indicates that the time for high school seniors to complete standardized test is a normal random variable with a standard deviation of 6 minutes. Test the hypothesis that a=6 against the alternative that a= 6 if a random sample of 20 high school seniors has a standard deviation s=4.51. Use a 0.05 level of significance.