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 1464 and the standard deviation was 315. The test scores of four students selected at random are 1900, 1200, 2150, and 1350. Find the z-scores that correspond to each value and determine whether any of the values are unusual The z-score for 1900 is (Round to two decimal places as needed.) The z-score for 1200 is (Round to two decimal places as needed.) The z-score for 2150 is (Round to two decimal places as needed.) The z-score for 1350 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.) None of the values are unusual. B.

Explanation / Answer

The z-score for 1900 is = (1900 - 1464)/315 = 1.3841. (Ans).

The z-score for 1200 is = (1200 - 1464)/315 = - 0.8381. (Ans).

The z-score for 2150 is = (2150 - 1464)/315 = 2.1778. (Ans).

The z-score for 1350 is = (1350 - 1464)/315 = - 0.3619. (Ans).

The unusual value is 2150, since it's corresponding z-score is

2.1778, which is pretty high. (Ans).

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