1.The mean length of one-year old spotted flounder, in millimeters, is 120 with

Question

1.The mean length of one-year old spotted flounder, in millimeters, is 120 with standard deviation of 19. The distribution of flounder lenghts is approximately bell-shaped. Suppose that Anna caught a one-year-old spotted flounder that was 137 millimeters in length. What is the z-score for this length? (write only a number as your answer. Round your answer to two decimal places)

2.The mean score on the ACT test was 22.0 and the standard deviation was 5.0.The distributions of scores was approximately bell-shaped. Compute the z-score for an ACT test score of 17. (write only a number as your answer. Round your answer to two decimal places)

3.A population has mean 20 and standard deviation 11.What is the data value that has a z-score of 2? ( write only a number as you answer)

Explanation / Answer

Asking only a numbers as answer

1)

z = (137-120)/19 =0.89

2)

z=(17-22)/5 =-1

3)

2 = (X-20)/11

X-20 =22

X =42

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