Hugo averages 62 words per minute on a typing test with a standard deviation of 14.5 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(62,14.5).
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:
1- Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is −0.857. This z-score tells you that x=47 is 0.857 standard deviations to the left of the mean, 62.
2- Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is 0.857. This z-score tells you that x=47 is 0.857 standard deviations to the right of the mean, 62.
3- Suppose Hugo types 47 wordper minute in a typing test on Wednesday. The z-score when x=47 is 1.034. This z-score tells you that x=47 is 1.034 standard deviations to the right of the mean, 62.
4- Suppose Hugo types 47 words per minute in a typing test on Wednesday. The z-score when x=47 is −1.034. This z-score tells you that x=47 is 1.034
standard deviations to the left of the mean, 62.