Hugo averages 43 words per minute on a typing test with a standard deviation of 12.5 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(43,12.5). Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is ________. This z-score tells you that x=76 is ________ standard deviations to the ________ (right/left) of the mean, ________.
Hugo averages 43 words per minute on a typing test with a standard deviation of 12.5 words per minute. Suppose Hugo's words per minute on a typing test are
Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is ________. This z-score tells you that x=76 is ________ standard deviations to the ________ (right/left) of the
Correctly fill in the blanks in the statement above.
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Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is −2.64. This z-score tells you that x=76 is 2.64 standard deviations to the left of the mean, 43.
Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is 2.129. This z-score tells you that x=76 is 2.129 standard deviations to the right of the mean, 43.
Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is −2.129. This z-score tells you that x=76 is 2.129 standard deviations to the left of the mean, 43.
Suppose Hugo types 76 words per minute in a typing test on Wednesday. The z-score when x=76 is 2.64. This z-score tells you that x=76 is 2.64 standard deviations to the right of the mean, 43.
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Given: X~N(43, 12.5)
At X = 76, z-score is
This score is positive, implying that it lies to the right of the mean at 2.64 SDs.
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