Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Christopher earned a score of 480 on Exam A that had a mean of 500 and a standarddeviation of 20. He is about to take Exam B that has a mean of 500 and a standarddeviation of 50. How well must Christopher score on Exam B in order to doequivalently well as he did on Exam A? Assume that scores on each exam arenormally distributed.

Sagot :

Solution

Exam A

mean = 500

standard deviation = 20

[tex]\begin{gathered} Z=\frac{x-\mu}{\sigma} \\ Z=\frac{480-500}{20} \\ Z=-\frac{20}{20}=-1 \end{gathered}[/tex]

since scores on each exam are normally distributed

then z score = -1

Exam B

mean = 500

standard deviation = 50

[tex]\begin{gathered} Z=\frac{x-\mu}{\sigma} \\ -1=\frac{x-500}{50} \\ -50=x-500 \\ -50+500=x \\ x=450 \end{gathered}[/tex]

Therefore Christopher score on Exam B = 450

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.