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T test for comparing mean

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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.

Ho: _____________________________
H1: _____________________________

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 Summary

The solution provides step by step method for the calculation of t test statistic for mean . Formula for the calculation and Interpretations of the results are also included.

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