Question: The competing hypotheses for a hypothesis test are as follows:

Ho: \(\mu \le \) 2500

Ha: µ > 2500

Assume the population standard deviation is known to be 200. A random sample of size 100 has a sample mean of 2560.

a) Calculate the p-value for the sample result.

b) For a significance level of .01, should you reject the null hypothesis? Explain.