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Question 22 (Next Q is a slight variation of this question)

Hugo averages 45 words per minute on a typing test with a standard deviation of 12 words per minute. Suppose Hugo’s words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(45,12).

Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is ________. This z-score tells you that x=47 is ________ standard deviations to the ________ (right/left) of the mean, ________.

Correctly fill in the blanks in the statement above.

Select the correct answer below:

Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is −0.167. This z-score tells you that x=47 is 0.167 standard deviations to the left of the mean, 45.

Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is 0.133. This z-score tells you that x=47 is 0.133 standard deviations to the right of the mean, 45.

Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is 0.167. This z-score tells you that x=47 is 0.167 standard deviations to the right of the mean, 45.

Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is −0.133. This z-score tells you that x=47 is 0.133 standard deviations to the left of the mean, 45.

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