Records in a three-county area show that in the last few years, Girl Scouts sold an average of 45.67 boxes of cookies per year, per girl scout, with a population standard deviation of 7.22 boxes per year. 52 randomly selected Girl Scouts from the region sold an average of 43.37 boxes this year. Scout leaders are concerned that the demand for Girl Scout cookies may have decreased. a. Test at a 2% significance level whether the average number of boxes of cookies sold by all Girl Scouts in the three-county area is lower than the historical average of 45.67 boxes. We conclude that the average number of boxes of cookies sold by all Girl
Records in a three-county area show that in the last few years, Girl Scouts sold an average of 45.67 boxes of cookies per year, per girl scout, with a population standard deviation of 7.22 boxes per year. 52 randomly selected Girl Scouts from the region sold an average of 43.37 boxes this year. Scout leaders are concerned that the demand for Girl Scout cookies may have decreased.
a. Test at a 2% significance level whether the average number of boxes of cookies sold by all Girl Scouts in the three-county area is lower than the historical average of 45.67 boxes.
We conclude that the average number of boxes of cookies sold by all Girl Scouts in the three-county area is (lower than, not lower than) the historical average.
b. What will your decision be in part a if the probability of a Type I error is zero?
- We failed to reject the hypothesis.
-We reject the hypothesis.
-Neither decision is valid.
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