A standardized exam's scores are normally distributed. In a recent year, the mean test score was 21.4 and the standard deviation was 5.5. The test scores of four students selected at random are 13, 24, 10, and 36. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 13 is nothing. (Round to two decimal places as needed.)

-1.53

0.47

-2.07

2.65

The last two observations are unusual

Step-by-step explanation:

mathematically;

z-score =( x-mean)/SD

Kindly note that an observation is termed unusual if the z-score is greater than +2 or less than -2

for x= 13

z-score = (13-21.4)/5.5 = -1.53

for x= 24

z-score= (24-21.4)/5.5 = 0.47

for x = 10

z-score = (10-21.4)/5.5 = -2.07

unusual

for x = 36

z-score = (36-21.4)/5.5 = 2.65

unusual

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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