Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.6 inches, answer the following questions. (Hint: Use the figure below with mean ? and standard deviation ?.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% ? - 3? ? - 2? ? - ? ? ? + ? ? + 2? ? + 3? 68% 95% 99.7% (a) What percentage of women are taller than 65 inches? % (b) What percentage of women are shorter than 65 inches? % (c) What percentage of women are between 62.4 inches and 67.6 inches? %
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What percentage of women are taller than 65 inches? Since 65 inches is the mean height, and a normal distribution is symmetric, 50% of women will be taller than 65 inches. Show more…
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Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 2.3 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% μ - 3σ μ - 2σ μ - σ μ μ + σ μ + 2σ μ + 3σ 68% 95% 99.7% (a) What percentage of women are taller than 65 inches? (b) What percentage of women are shorter than 65 inches? (c) What percentage of women are between 62.7 inches and 67.3 inches? (d) What percentage of women are between 60.4 and 69.6 inches?
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Assuming that the heights of college women are normally distributed with mean 60 inches and standard deviation 3.3 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% μ - 3σ μ - 2σ μ - σ μ μ + σ μ + 2σ μ + 3σ 68% 95% 99.7% (a) What percentage of women are taller than 60 inches? (b) What percentage of women are shorter than 60 inches? (c) What percentage of women are between 56.7 inches and 63.3 inches? (d) What percentage of women are between 53.4 and 66.6 inches?
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Female College Students. Refer to Example 6.1 on page 256 a. The area under the standard normal curve with parameters $\mu=64.4$ and $\sigma=2.4$ that lies to the left of 61 is $0.0783 .$ Use this information to estimate the percentage of female students who are shorter than 61 inches. b. Use the relative-frequency distribution in Table 6.1 to obtain the exact percentage of female students who are shorter than 61 inches. c. Compare your answers from parts (a) and (b).
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