Homework: Chapter5 Save Score: 0 of 1pt 34 of 36 (27 complete) Hw Score: 58.56%,

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Homework: Chapter5 Save Score: 0 of 1pt 34 of 36 (27 complete) Hw Score: 58.56%, 21.08 of 36 pts 5.4.31 Question Help * The mean height of women in a country (ages 20-29) is 64.2 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume ·283 The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All All parts showing This course (MTH128-Stats (Online 1st 8 Weeks)-Section 508) is based on Larson Elementary Statistics Picturing the World, Ge

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Solution:

Mean height of women in a country aged 20-29 is 64.2 inches.
A random sample of 70 women in this age group is selected
What is the probability that the mean height for the sample is greater than 65 inches if the standard deviation is 2.83
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z(65) = (65-64.2)/[2.83/sqrt(70)] = 0.8/(0.3382) = 2.37

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P(x-bar > 65) = P(z > 2.36)
= 1P(Z < 2.36 )
= 10.9909 = 0.0091

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