DeAndre and Jonah began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. DeAndre took a test in Science and earned a 81.2, and Jonah took a test in Art History and earned a 61.9. Use the fact that all the students' test grades in the Science class had a mean of 72.2 and a standard deviation of 11.8, and all the students' test grades in Art History had a mean of 65.5 and a standard deviation of 10.3 to answer the following questions. a) Calculate the z-score for DeAndre's test grade. Z= b) Calculate the z-score for Jonah's test grade. Z= c) Which person did relatively better? DeAndre Jonah They did equally well.

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**Comparing Performance Using Z-Scores: DeAndre vs. Jonah**

DeAndre and Jonah began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. DeAndre took a test in Science and earned an 81.2, and Jonah took a test in Art History and earned a 61.9. Use the fact that all the students' test grades in the Science class had a mean of 72.2 and a standard deviation of 11.8, and all the students' test grades in Art History had a mean of 65.5 and a standard deviation of 10.3 to answer the following questions.

---

**a) Calculate the z-score for DeAndre's test grade.**

\[ z = \]

---

**b) Calculate the z-score for Jonah's test grade.**

\[ z = \]

---

**c) Which person did relatively better?**

- DeAndre
- Jonah
- They did equally well.

---

*Question Help:* ![message](attachment:message_instrcutor_icon.png) Message instructor

---

\[ \textcolor{blue}{Submit Question} \]
Transcribed Image Text:**Comparing Performance Using Z-Scores: DeAndre vs. Jonah** DeAndre and Jonah began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. DeAndre took a test in Science and earned an 81.2, and Jonah took a test in Art History and earned a 61.9. Use the fact that all the students' test grades in the Science class had a mean of 72.2 and a standard deviation of 11.8, and all the students' test grades in Art History had a mean of 65.5 and a standard deviation of 10.3 to answer the following questions. --- **a) Calculate the z-score for DeAndre's test grade.** \[ z = \] --- **b) Calculate the z-score for Jonah's test grade.** \[ z = \] --- **c) Which person did relatively better?** - DeAndre - Jonah - They did equally well. --- *Question Help:* ![message](attachment:message_instrcutor_icon.png) Message instructor --- \[ \textcolor{blue}{Submit Question} \]
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