The scores on a driver's test are normally distributed with a mean of 100. Find the score that is:
Find the score that is 3 standard deviations above the mean, if the standard deviation is 16

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lesamoor lesamoor · Answer 1 · 2020-04-24T23:55:31+02:00

3 standard deviations above the mean=3 * 16 above the mean = 48 above 100= 148.

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oladayoademosu oladayoademosu · Answer 2 · 2021-08-10T17:10:24+02:00

The score that is 3 standard deviations above the mean is 148.

Since the scores on the driver's test are normally distributed with a mean X = 100 and a standard deviation of σ = 16.

We need to find a score that is 3 standard deviations above the mean. that is, a score X' = X + 3σ.

We need to first find the value of 3 standard deviations. So, 3σ = 3 × 16 = 48

Since our mean is X = 100 and we seek to find X' which is 3 standard deviations above the mean X.

So, X' = X + 3σ

Substituting the values of the variables into the equation, we have

X' = X + 3σ

X' = 100 + 48

X' = 148

So, the score that is 3 standard deviations above the mean is 148.

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