This Test: 11 pts pos A standardized exam\'s scores are normally distributed. In

Question

This Test: 11 pts pos A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 317, The test scores of tour students selected at random are 1870, 1200, 2190, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual The z-score for 1870 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 2190 is AOes (Round to two decimal places as needed) The z-score for 1340 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 whin your choice O A. The unusual value(s) is/are (Use a comma to separate answers as needed.) None of the values are unusual O B.

Explanation / Answer

mean of test score is U=1466
standard deviation (s.d)= 317

a.
Z score for 1870
Z score formula = X-U/standard deviation(s.d)
Z score = (1870-1466)/317
Z score = 1.27

b.
Z score for 1200
Z score = (1200-1466)/317
Z score = -0.83

c.
Z score for 2190
Z score =(2190-1466)/317
Z score = 2.28

d.
Z score for 1340
Z score =(1340-1466)/317
Z score =-0.39

b,d are two Z score values got negative so these two unusual
option:A

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