Using a random sample of n = 50, the sample mean is x = 297.6. Suppose that the population standard deviation is =12. Is the above statistical evidence sufficient to make the following claim: >295 right tail, one tail at the 1% 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)