A very large company is interested in its employees' productivity. The company reports from its historical data that its employees spend a mean of 143 minutes per employee (on a typical day) dealing with email. To test this claim, an independent consultant chooses 13 employees at random and finds that those employees spend a sample mean of 150 minutes dealing with email, with a sample standard deviation of 11 minutes. Assume that the population of amounts of time employees spend dealing with email is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to reject the claim that u, the mean number of minutes employees spend dealing with email, is equal to 143. (a) State the null hypothesis Ho and the alternative hypothesis H, that you would use for the test. Ho : 0 H X H 1 : 0 O0 020 0=0 0*0 X (b) Perform a t test and find the p-value. Here is some information to help you with your : test. . The value of the test statistic is given by ( = * - H. S . The p-value is two times the area under the curve to the right of the value of the test statistic. Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. 0.3 Step 2: Select one-tailed or two-tailed. One-tailed O Two-tailed 0.2 Step 3: Enter the test statistic. (Round to 3 decimal places.) 0. 1 Step 4: Shade the area represented by the p- value. 3 - 2 2 X