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(CORRECT ANSWER) MATH225N Week 6 Quiz : Hugo averages 46 words per minute on a typing test with a standard deviation of 11 words per minute.

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QUESTION 23

Hugo averages 46 words per minute on a typing test with a standard deviation of 11 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(46,11).

Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is ________. This z-score tells you that x=45 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 45 words per minute in a typing test on Wednesday. The z-score when x=45 is 0.071. This z-score tells you that x=45 is 0.071 standard deviations to the right of the mean, 46.

Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is 0.091. This z-score tells you that x=45 is 0.091 standard deviations to the right of the mean, 46.

Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is −0.091. This z-score tells you that x=45 is 0.091 standard deviations to the left of the mean, 46.

Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is −0.071. This z-score tells you that x=45 is 0.071 standard deviations to the left of the mean, 46.

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