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 H_a

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?