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bogdanovich [222]
3 years ago
14

Please assist me with the missing answers. Scores on the final exam in Ms. Meyer's statistics class follow a normal distribution

, with a mean of 82 and a standard deviation of 5. 1. Ron, who took Ms Meyer's class, scored 88 on the final. Ron's z-score is + ___ 2. This means that Ron's final score is A. 1.2 points above the mean B. 1.2 standard deviation above the mean C. 1.2 points below the mean D 1.2 standard deviation below the mean
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer: Ron's z-score is <u>+1.2</u>.

B. 1.2 standard deviation above the mean .

Step-by-step explanation:

Let X deontes the scores of the final exam

Given : Ms. Meyer's statistics class follow a normal distribution with Mean =  82

standard deviation =5.1

Formula : z=\dfrac{X-Mean}{Standard \ deviation}

Ron scored 88 on the final.

So, put x=88

z=\dfrac{88-82}{5.1}=\dfrac{6}{5.1}\approx1.2

Ron's z-score is <u>+1.2</u>.

Also, 88= 86+(1.2 x 5.1) = Mean +1.2 x (standard deviation)

i.e.  This means that Ron's final score is<u> 1.2 standard deviation above the mean </u>.

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