Question

Students in an introductory statistics course at the U.S. Air Force Academy participated in Nabisco's "Chips Ahoy! $1.000$ Chips Challenge" by confirming that there were at least 1000 chips in every$18$-ounce bag of cookies that they examined. As part of their assignment, they concluded that the number of chips per bag is approximately normally distributed. Could the number of chips per bag be exactly normally distributed? Explain your answer. [SOURCE: B. Warner and J. Rutledge, "Checking the Chips Ahoy! Guarantee," Chance, Vol. 12(1). pp. 10-14]

Short answer

The number of chips is not spread evenly.

Step-by-step solution

Given information

Given in the question that, Students in an introductory statistics course at the U.S. Air Force Academy participated in Nabisco's "Chips Ahoy! 1.000 Chips Challenge" by confirming that there were at least 1000 chips in every 18 -ounce bag of cookies that they examined. As part of their assignment, they concluded that the number of chips per bag is approximately normally distributed.

we need to explain that we can normally distributed the number of chips per bag.

Explanation

Every $18$-ounce bag of cookies inspected contains at least $1000$chips. The number of chips each bag is approximately normally distributed as part of the assignment.

The variable chips' histogram looks like this:

A normal curve connected with the variable can be seen superimposed. The histogram does not have the same form as the usual curve. The histogram is skewed to the right.

The variable chips' normal probability plot can be drawn as follows:

The above graph is a curved pattern rather than a linear pattern.

As a result, the number of chips is not spread evenly.