A population has mean 60 and standard deviation 16 What is the data value that h

Question

A population has mean 60 and standard deviation 16 What is the data value that has a z-score of 3 2 write only a number as your answer. The mean score on the ACT test was 24.1 and the standard deviation was 5.1. The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 16. Write only a number as your answer. Round your answer to two decimal places (for example: 3.15). The mean length of one-year-old spotted flounder, in millimeters, is 129 with standard deviation of 14, The distribution of flounder lengths is approximately bell-shaped. Suppose that Anna caught a one-year-old spotted flounder that was 160 milimeters in length. What is the z-score for this length? Write only a number as your answer. Round your answer to two decimal places (for example: 3.15).

Explanation / Answer

1) z score = (x - mean) / standard deviation

Here, 3 = (x - 60)/16

X = 108

2) Mean = 24.1

Standard deviation = 5.1

Z score of 16 = (16 - 24.1)/5.1

= -1.59

3) Mean = 129

Standard deviation = 14

Z score of 160 = (160-129)/14

= 2.21

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