Chocolate chip cookies have a distribution that is approximately normal with a m

Question

Chocolate chip cookies have a distribution that is approximately normal with a mean of 23.4 chocolate chips per cookie and a standard deviation of 2.6 chocolate chips per cookie. Find Upper P10 and Upper P90. How might those values be helpful to the producer of the chocolate chip cookies?

equals=nothing

(Round to one decimal place as needed.)

Upper P 90P90equals=nothing

(Round to one decimal place as needed.)

How might those values be helpful to the producer of the chocolate chip cookies? Choose the correct answer below.

A.

The values can be used to identify cookies with an unusually low or high number of chocolate chips, so those numbers can be used to monitor the production process to ensure that the numbers of chocolate chips stays within reasonable limits.

B.

The values can be used to identify cookies with an average number of chocolate chips, so those numbers can be used to monitor the production process to ensure that the numbers of chocolate chips stays below

Upper P 10P10.

C.

The values can be used to identify cookies with an average number of chocolate chips, so those numbers can be used to monitor the production process to ensure that the numbers of chocolate chips stays within reasonable limits.

D.

The values can be used to identify cookies with an unusually low or high number of chocolate chips, so those numbers can be used to monitor the production process to ensure that the numbers of chocolate chips stays below

Upper P 10P10.

Explanation / Answer

Its given that chocolate chip cookies have a distribution that is approximately normal, so we need to refer to z table to find the z value corresponding to p value of 0.1 and 0.9.

From the z table,

z value corresponding to p value of 0.1 is -1.282

z value corresponding to p value of 0.9 is 1.282

Mean = 23.4, Standard deviation = 2.6

So P10 = Mean - 1.282 * Sd = 23.4 - 1.282 * 2.6 = 20.0668

P90 = Mean + 1.282 * Sd = 23.4 + 1.282 * 2.6 = 26.7332

Rounding to 1 decimal, P10 = 20.1 and P90 = 26.7

The correct option is A. These values can be used to identify cookies with an unusually low or high number of chocolate chips, so those numbers can be used to monitor the production process to ensure that the numbers of chocolate chips stays within reasonable limits.

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