A standardized exam\'s scores are normally distributed. In a recent year, the me

Question

A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.3 and the standard deviation was 5.6 . The test scores of four students selected at random are 14 , 22 , 8 , and 35 . Find the z-scores that correspond to each value and determine whether any of the values are unusual.

The z-score for 14 is . (Round to two decimal places as needed.)

The z-score for 22 is . (Round to two decimal places as needed.)

The z-score for 8 is . (Round to two decimal places as needed.

The z-score for 35 is . (Round to two decimal places as needed.)

Which values, if any, are unusual?

Select the correct choice below and, if necessary, fill in the answer box within your choice.

A. The unusual value(s) is/are . (Use a comma to separate answers as needed.)

B. None of the values are unusual.

Explanation / Answer

The mean is 21.3

Stdev is 5.6

Standardize each of the value by formula, Z = X-Mu/ (Sigma/sqrt(n)

So, 14,22,8 and 35 become -2.6 , .25,-4.75 and 4.89

A.The values of 8 and 35 are unusual as they have a very extreme Z value

B is not true

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