A recent article in a computer magazine suggested that the meantime to fully lea

Question

A recent article in a computer magazine suggested that the meantime to fully learn a new software program is 40 hours. A sample of100 first-time users of a new statistics program revealed the meantime to learn it was 39 hours with the standard deviation of 8hours. At the 0.05 significance level, can we conclude that userslearn the package in less than a mean of 40 hours?

µ (populationmean):                          _______

(population standard deviation):    _______

X (samplemean):                               _______

s (sample standarddeviation):           _______

(significancelevel):                         _______

(populationproportion):                  _______

p (sampleproportion):                        _______

        a.   State the null and alternatehypotheses.

              H0: __________________

              H1:__________________                          

        b.   Find the critical value

        c.   State the decision rule.

        d.   Compute the value of the teststatistic.

         e. Find the p-value

Explanation / Answer

(b) Given =0.05, |Z(0.05)|=1.645 (check normal table) So the critical value is Z=-1.645.

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