Question

A plethora of pepperoni? Refer to Exercise 73.

a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.

b. According to the manager of the restaurant, there should be an average of $40$

pepperonis on a large pizza. Based on the interval, is there convincing evidence that the average number of pepperonis is less than $40$? Explain your answer.

Short answer

a. It is due to the fact that sample size is small.

b. No evidence is present that average pepperoni is less than$40.$

Step-by-step solution

Given Information

Number of pepperoni are:$47,36,25,37,46,36,49,32,32,34$

Necessity to inspect graph

$10$sample values are contained which is less than $30$.

Hence, inspecting graph of sample data is necessary to satisfy normal/large sample condition. Si, it's necessary/

To check if there is convincing evidence that average number of pepperoni are less than 40

By use of excel, we get:

$95\%$confidence interval is $31.919<\mu <42.881$

Upper limit is higher than $40$

Hence, there is no convincing evidence that average number of pepperoni are less than$40$