1. 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?
   1. Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts)
   2. Calculate the standard error. (2.5 pts)
   3. Calculate the z score. (2.5 pts)
   4. Calculate the p value. (2.5 pts)
   5. What is the conclusion? (2 pts)