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# 1.    The owner of a construction company would like to know if...

1.    The owner of a construction company would like to know if his current work crew takes on average less time to build a deck on a house than his past crews.  He knows that the average time it took his past crews to build a deck is 28 hours. A random sample of 9 decks that the current crew has built resulted in a sample mean of building time of 24 hours and a sample standard deviation of 6 hours. Conduct the appropriate hypotheses test using the α = 0.05 and Critical Value method. Assume that times it takes his current crew to build the decks are normally distributed.

a.    Define H0 and Ha

b.    Find the test statistic and critical value(s) and draw the rejection region(s) labeling the observed and critical value(s).

c.    State conclusion and interpretation.

2.    Suppose your p-value = 0.034 and a = 0.05. Do we reject or fail to reject H0?

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