2. In the mid-19h century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? d bolosio (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule]

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2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human
characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal
distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean
of 67 inches and standard deviation of 2.5 inches.
(a) Graph this normal distribution and label the x-axis.
(b) What proportion of these men were between 66 and 68 inches tall?
belool vin
(c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean
height? [Use the normal distribution function in Excel, not the Empirical Rule]
(d) What height corresponds to the 95th percentile in the Galton study?
Transcribed Image Text:ats 2. In the mid-19th century, Sir Francis Galton demonstrated, through extensive data collection, that many human characteristics such as height and IQ are distributed throughout the entire population in accordance with the normal distribution. Galton recorded the heights of 8585 men in Great Britain. This forms a normal distribution with a mean of 67 inches and standard deviation of 2.5 inches. (a) Graph this normal distribution and label the x-axis. (b) What proportion of these men were between 66 and 68 inches tall? belool vin (c) What fraction of the adult male population in Great Britain was within one standard deviation of the mean height? [Use the normal distribution function in Excel, not the Empirical Rule] (d) What height corresponds to the 95th percentile in the Galton study?
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