A national chain of organic grocery stores ishoping to sell at least 1200 boxes of hemp milk per week at each store; itwill reevaluate the marketing plan if there is compelling evidence that thetrue sales figures are lower. To investigate, the chain will collect a weekof sales data from 61 randomly chosen stores. The standard deviation ofsales at each store is 260 boxes per week. a. Specify appropriate null and alternative hypotheses for this setting.
b. If the chain conducts a test with a critical value of 1150, what is the probability of a Type I error?
c. If, in addition, it turns out that the actual mean weekly sales is 1125 boxes, what is the probability of a Type II error?