A manufacturing rm has been averaging 28.4 orders per week for several years with a standard deviation of 2.2. Recently however, the number of orders appears to have fallen. Suppose the rm's production manager randomly samples 40 weeks and nds a sample mean of 27.9 orders. To test at  = 0:01 whether the average number of orders has dropped the appropriate null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA) c. The correct decision rule is Reject H0 if d. The value (correct to 2dp) of the test statistic for testing this hypothesis is (do not include t =; z =, etc) e. Should we reject H0? The conclusion will be: There is evidence at  = 0:01 to conclude that the average number of orders

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