.1. Using a random sample of n = 36, the sample mean is x = 2.92. Suppose that the population standard deviation is =0.18. Is the above statistical evidence sufficient to make the following claim: <3 at the 5% level of significance?

.a. Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)

.b. Calculate the standard error. (2.5 pts)

.c. Calculate the z score. (2.5 pts)

.d. Calculate the p value. (2.5 pts)

.e. What is the conclusion? (2 pts)