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.
Solution:
Given in the question
mean = 10
Standard deviation = 2
We need to calculate that P(Xbar>13) + P(Xbar<7)
Z = (13-10)/2 = 1.5
Z = (7-10)/2 = -1.5
From Z table we found P-value
P(Xbar>13) + P(Xbar<7) = 1- P(Xbar<13) + P(Xbar<7) = 1- 0.9332 + 0.0668 = 0.0668 + 0.0668 = 0.1336
On a measure with a mean of 10 and a standard deviaton 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 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
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