# Question

The competing hypotheses for a hypothesis test are as follows: H0: μ < 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? For a significance level of .10? Explain your answers.
c. What is the minimum significance level at which the sample result here would lead us to reject the null hypothesis?

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