# Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample.3. Find the mean and standard deviation of?̅, ?.?., ?D̅,?D̅.(a) ?D̅ = 509 ?D̅ = 108 , (b) ?D̅ = 509 ?D̅ = 18 ?D̅, (c) ?D̅ = 84.833?D̅ = 108, (d) ?D̅ =509 ?D̅ =3, (e) ?D̅ = 14.139 ?D̅ =3

Question

Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample.

3. Find the mean and standard deviation of

?̅, ?.?., ?D̅,?D̅.

(a) ?D̅ = 509 ?D̅ = 108 , (b) ?D̅ = 509 ?D̅ = 18 ?D̅, (c) ?D̅ = 84.833

?D̅ = 108, (d) ?D̅ =509 ?D̅ =3, (e) ?D̅ = 14.139 ?D̅ =3

Step 1

Denote X as the Sat-I test score. It is given that X is normally distributed, with mean μ = 509 and standard deviation σ = 108. A random sample of 36 students were taken at random,

Step 2

For this problem let us assume ?¯ is same as X bar.

Let X bar be the mean Sat-I score. It is known that,

Step 3

Therefore, in this...

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