A company decided to test the hypothesis that the average time a company's employees are spending to check their private emails at work is more than 6 minutes. A random sample of 40 employees were selected and they averaged 6.6 minutes. It is believed that the population standard deviation is 1.7 minutes.

a. When testing whether the time the employees are spending to check private emails at work is more than 6 minutes, what is the appropriate hypothesis?

b. What is the test statistic? Round answer to three decimal places.

c. What is the p value? Round answer to four decimal places.

d. At a 5% significance level, what is the conclusion?

e. Let us suppose you later learned that your conclusion is incorrect, what is the error type you committed and what is the error's consequences?