Question: A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation of 8 hours. At the 0.05 significance level, can we conclude that users learn the package in less than a mean of 40 hours?

a. State the null and alternate hypotheses.

b. State the decision rule. (Calculate critical value to answer this fully. The form is something like If z < z_c, Reject H_o)

c. Compute the value of the test statistic. (Show me the values used to calculate test statistic)

d. Compute the p-value. (Use either Excel value from template or table method)

e. What is your decision regarding the null hypothesis? Interpret the result. (Do you choose to Reject or to Not Reject the null hypothesis (H0). What does the decision mean?)