Lenny & Larry's management would like to ensure that a double chocolate complete cookie's mean weight is not greater than 6.03 ounces with a process standard deviation of 0.02 ounce. To ensure that...

Lenny & Larry's management would like to ensure that a double chocolate complete cookie's mean weight is not greater than 6.03 ounces with a process standard deviation of 0.02 ounce. To ensure that the company does not have to readjust its process, the control manager collects a sample of 50 double chocolate complete cookies with a sample mean of 6.034 ounces. With a level of significance of 0.01, is there any evidence that the double chocolate complete cookie's population mean weight is greater than 6.03 ounces? What is the p-value? What will be his decision?

Starbucks would like you to conduct a study about its customers' coffee purchasing habits at its location at Buckhead Atlanta. Suppose you collected data from 60 randomly selected customers through a week and determine the following results:

• The sample mean amount spent was $7.25 with a sample standard deviation of $1.25


• The proportion of customers that say they "definitely will" recommend that location to family and friends is 0.31.

1. At a 0.05 level of significance, is there evidence that the population mean amount spent was different from $6.50


2. Determine the p-value in (a)


3. At a 0.05 level of significance, is there evidence that the proportion of all customers that says "definitely will" recommend that location to family and friends is more than 0.50