Answered

IDNLearn.com provides a reliable platform for finding accurate and timely answers. Discover detailed answers to your questions with our extensive database of expert knowledge.

Wyatt earned a score of 45 on Exam A that had a mean of 35 and a standard deviationof 5. He is about to take Exam B that has a mean of 100 and a standard deviation of25. How well must Wyatt score on Exam B in order to do equivalently well as he didon Exam A? Assume that scores on each exam are normally distributed.

Sagot :

SOLUTION

Since the scores are normally distributed, we will first obtain the Z score from Exam A, and then use it to find the score required from Exam B to meet that same Z score.

[tex]Z=\frac{X-M}{\sigma}[/tex]

For Exam A, X(score)=45, M(mean)=35, S.D=5

Z will be:

[tex]\begin{gathered} Z=\frac{45-35}{5} \\ Z=\frac{10}{5} \\ Z=+2 \end{gathered}[/tex]

So to obtain, the score (X) for exam B, that will give us the same Z score.

For Exam B, X(score)=unknown, M(mean)=100, S.D= 25

[tex]Z=2=\frac{X-100}{25}[/tex][tex]\text{Cross multiply}[/tex][tex]\begin{gathered} 50=x-100 \\ 50+100=x \\ 150=x \end{gathered}[/tex]

So Wyatt must score 150 in exam B in order to do equivalently well as he

did on exam A.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.