On a measure with a mean of 10 and a standard deviation of 2, Sumathi scored 13. What proportion of people score farther from the mean than Sumathi? (Give your answer to at least 3 places past the decimal point) The answer is not 0.0668
Solution :
P(x > 13) = 1 - P(x < 13)
= 1 - P[(x -
) /
< (13 - 10) / 2]
= 1 - P(z < 1.5)
= 1 - 0.9332
= 0.067
On a measure with a mean of 10 and a standard deviation of 2, Sumathi scored...
On a measure with a mean of 10 and a standard deviation of 2, Sumathi scored 13. What proportion of people score farther from the mean than Sumathi? (Give your answer to at least 3 places past the decimal point) Answers are not: 0.067, 0.433, 0.933, 0.0668 Help! Please and thank you!
On a measure with a mean of 10 and a standard deviaton of 2, Sumathi scored 13. What proportion of people score farther from the mean than Sumathi? (Give your answer to at least 3 places past the decimal point). The answer is NOT 0.433. Farther from the mean than 13, which includes everyone with a score >13 and everyone with a score <7, because 7 is also 1.5 SD from the mean.
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