Recall that it is hoped that the mean alert time, , using the new display panel is

Recall that it is hoped that the mean alert time, μ, using the new display panel is less than eight seconds. Formulate the null hypothesis H0 and the alternative hypothesis Ha that would be used to attempt to provide evidence that μ is less than eight seconds. Discuss the meanings of a Type I error and a Type II error in this situation. The mean and the standard deviation of the sample of n = 15 alert times are  = 7.4 and s = 1.0261. Perform a t test of H0 versus Ha by setting α equal to .05 and using a critical value. Interpret the results of the test. Assume (as before) that the population of all alert times using the new display panel is approximately normally distributed.