Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

In an Oreo factory, the mean mass of a cookie is given as40 grams with a standard deviation of 2 grams. Whatpercentage of the cookies are between 34 grams and 42grams?

Sagot :

The Solution:

Given:

[tex]\begin{gathered} \bar{x}=mean=40g \\ \sigma=\text{ standard deviation}=2g \end{gathered}[/tex]

We are required to find the percentage that is between 34 grams and 42 grams.

By z-score statistic,

The lower limit is:

[tex]Z_1=\frac{x-\mu}{\sigma}=\frac{34-40}{2}=\frac{-6}{2}=-3[/tex]

The upper limit is:

[tex]Z_2=\frac{x-\mu}{\sigma}=\frac{42-40}{2}=\frac{2}{2}=1[/tex]

The probability is:

[tex]P(Z_1Converting to percent, we multiply by 100:[tex]0.840\times100=84\text{\%}[/tex]

Therefore, the correct answer is 84%

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.