Executives of a supermarket chain are interested in the

Last updated: 2/5/2023

Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips The mean shopping time spent by customers at the supermarkets has been reported to be 38 minutes but executives have good reason to believe that is greater than 38 minutes The executives hire a statistical consultant and ask her to perform a statistical test To perform her statistical test the consultant collects a random sample of shopping times at the supermarkets She computes the mean of these times to be 42 minutes and the standard deviation of the times to be 10 minutes Based on this information complete the parts below a What are the null hypothesis Ho and the alternative hypothesis H that should be used for the test Ho H b Suppose that the consultant decides to reject the null hypothesis What sort of error might she be making Type 1 Type II c Suppose the true mean shopping time spent by customers at the supermarkets is 45 minutes Fill in the blanks to describe a Type II error A Type II error would be rejecting failing to reject the hypothesis that is than less than or equal to greater than greater than or equal to not equal to equal to 10 38 42 when in fact is than 42 greater than 38 less equal to 10 equal to 38 less than 10 less than 38 less