A national grocer’s magazine reports the typical shopper spends 11 minutes in li

Question

A national grocer’s magazine reports the typical shopper spends 11 minutes in line waiting to check out. A sample of 21 shoppers at the local Farmer Jack’s showed a mean of 10.0 minutes with a standard deviation of 2.2 minutes.

Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.050 significance level.

a.

What is the decision rule if we reject the hypothesis below? IT SHOULD BE LESS THAN WHAT??

While the value of the test statistic is -2.082 and we reject Ho.

Reject H0: µ 11 and fail to reject H1: µ < 11 when the test statistic is (Click to select)equal toless thangreater than .

                                                This is the question: Less than what?

A national grocer’s magazine reports the typical shopper spends 11 minutes in line waiting to check out. A sample of 21 shoppers at the local Farmer Jack’s showed a mean of 10.0 minutes with a standard deviation of 2.2 minutes.

Is the waiting time at the local Farmer Jack’s less than that reported in the national magazine? Use the 0.050 significance level.

Explanation / Answer

Excel computation:

a. t-stat should be less than t_critical at 5% level i.e. -1.72 ("=T.INV(0.05,20)")

ans is " -1.72"

given n= 21 mean= 10 SD= 2.2 H0: mean>=11 Ha: mean<11 we use 1 sample left sided t-test test stat t -2.08299 p-value= 0.025149 <0.05; reject H0 & conclude that mean<11

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