The Height of Male Students at Your College/university Is Normally

question 25

Essay

The height of male students at your college/university is normally distributed with a mean of 70 inches and a standard deviation of 3.5 inches. If you had a list of telephone numbers for male students for the purpose of conducting a survey, what would be the probability of randomly calling one of these students whose height is
(a)taller than 6'0"?
(b)between 5'3" and 6'5"?
(c)shorter than 5'7", the mean height of female students?
(d)shorter than 5'0"?
(e)taller than Shaquille O'Neal, the center of the Boston Celtics, who is 7'1" tall?
Compare this to the probability of a woman being pregnant for 10 months (300 days), where days of pregnancy is normally distributed with a mean of 266 days and a standard deviation of 16 days.

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Definitions:

Population Means

The averages of different populations, providing a measure of central tendency for each population's data.

Large Samples

Refers to datasets that are sufficiently large to enable statistically meaningful analysis, often used to achieve more accurate estimates of population parameters.

Lower Confidence Bound

The lower limit of a confidence interval, indicating the smallest value that, based on the data, might be considered a plausible estimate of a parameter.

Population Proportions

A statistical measure that represents the fraction or percentage of units in a population that possess a certain trait or characteristic.