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Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with µ...

Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with µ = 176.9 cm and σ = 7.1 cm.

(a). What is the 98th percentile for men’s height?

(b). What percentage of men fall within 173 and 183 cm?

(c). Would a sample mean of 170 cm be different from the population mean at an alpha of 0.05? Be sure to give your p-value and explain.

(d). What is the confidence interval for the sample mean of 170 cm? Does this agree with the p-value, and explain your answer

Math   Statistics-And-Probability   
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for part c and d, sample size is needed.

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