# Hypothesis Testing: Mean Time to Learn a New Software Program

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.

c. Compute the value of the test statistic.

d. Compute the p-value.

e. What is your decision regarding the null hypothesis? Interpret the result.

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#### Solution Preview

Ho: m=40

H1: m<40

b. State the decision rule.

We reject H0 if the test statistic is less than z-score corresponding to 0.05, which is -1.645

So we reject H0 if the ...

#### Solution Summary

At the 0.05 significance level, this solution calculates the mean time that users require to calculate a new software program.