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The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.

(a) Which of these students scored above the mean? (Select all that apply.)

a. Jan
b. Joel
c. Juan
d. Linda
e. Robert
f. Susan

User Norekhov
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1 Answer

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Final answer:

Students with z-scores greater than 0 scored above the mean. Susan's z-score of 2.0 confirms that she scored above the mean; however, other students' z-scores were not provided, and hence cannot be assessed with the information given.

Step-by-step explanation:

The question relates to determining which students scored above the mean on their final exam based on their z-scores. A z-score is a measure of how many standard deviations an element is from the mean. A z-score above 0 indicates a score above the mean, while a z-score below 0 indicates a score below the mean.

To answer the question provided, we need to look at the listed z-scores and identify those that are positive because a positive z-score denotes a score that is above the mean.

Since we are given that Susan has a z-score of 2.0, we can confidently say that she scored above the mean. Without specific z-scores for the other students, we would need that information to determine which among Jan, Joel, Juan, Linda, and Robert has a z-score greater than 0. Only the students with z-scores greater than 0 would be the ones who scored above the mean.

User Rmirabelle
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