The owner of a local chain of grocery stores is always trying to minimize the time it takes her customers to check out. In the past, she has conducted many studies of the checkout times, and they have displayed a normal distribution with a mean time of12.4minutes. and a standard deviation of2.1minutes. She has implemented a new schedule for cashiers in hopes of reducing the mean checkout time. A random sample of33customers visiting her store this week resulted in a mean of11.4minutes. Does she have sufficient evidence to claim the mean checkout time this week was less than12.4minutes? Use= 0.02.(a) Findz. (Round your answer to two decimal places.)

(ii) Find thep-value. (Round your answer to four decimal places.)

(b) State the appropriate conclusion.

Fail to reject the null hypothesis. There is not significant evidence that the mean checkout time is less than12.4minutes.

Reject the null hypothesis. There is not significant evidence that the mean checkout time is less than12.4minutes.

Fail to reject the null hypothesis. There is significant evidence that the mean checkout time is less than12.4minutes.

Reject the null hypothesis. There is significant evidence that the mean checkout time is less than12.4minutes.