Mathematics, 03.12.2019 21:31, orieo
The mean height of women in a country (ages 20minus29) is 64.2 inches. a random sample of 50 women in this age group is selected. what is the probability that the mean height for the sample is greater than 65 inches? assume sigmaequals2.58. round to four decimal places.
Answers: 3
![P(x65)=1-P(x\leq 65)\\\\=1-P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\leq\dfrac{65-64.2}{\dfrac{2.58}{\sqrt{50}}})\\\\=1-P(z\leq2.193)\ \ [\because z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-0.9858463\ \ [\text{By using z-value table or calculator}]\\\\=0.0141537\approx0.0142](/tpl/images/0401/5986/1bb47.png)
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The mean height of women in a country (ages 20minus29) is 64.2 inches. a random sample of 50 women i...
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