At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
We first look at the z-score on Exam A. The z-score can be computed as follows:
[tex]\begin{gathered} z=\frac{x-\operatorname{mean}}{\text{standard dev}} \\ z=\frac{152-200}{20}=-2.4 \end{gathered}[/tex]Using the formula for z-score, we derive the equation solving for x to find the score of Sebastian in Exam B, as follows:
[tex]\begin{gathered} x-mean=z\cdot\text{standard deviation} \\ x=\operatorname{mean}+z\cdot\text{standard deviation} \end{gathered}[/tex]The z-score is already computed above. Also, the mean and standard deviation on Exam B is already given. We can plug it on the derived equation and solve for x, as follows:
[tex]\begin{gathered} x=300+(25\cdot-2.4) \\ x=300+(-60)=240 \end{gathered}[/tex]Therefore, Sebastian must get a minimum score of 240 so that he can do equivalently as well as he did on Exam A.
Answer: 240 pts on Exam B
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.