1.171 How much vitamin C do women consume? To evaluate whether or not the intake of a vitamin or min- eral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:4 49

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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1.171 How much vitamin C do women consume?
To evaluate whether or not the intake of a vitamin or min-
eral is adequate, comparisons are made between the intake
distribution and the requirement distribution. Here is some
information about the distribution of vitamin C intake, in
milligrams per day, for women aged 19 to 30 years:4⁹
Percentile (mg/d)
Mean 1st 5th 19th
25th
50th 75th 90th 95th 99th
84.1 31 42 48 61 79 102 126 142 179
(a) Use the 5th, the 50th, and the 95th percentiles of this
distribution to estimate the mean and standard deviation
of this distribution assuming that the distribution is
Normal. Explain your method for doing this.
Transcribed Image Text:1.171 How much vitamin C do women consume? To evaluate whether or not the intake of a vitamin or min- eral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:4⁹ Percentile (mg/d) Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th 84.1 31 42 48 61 79 102 126 142 179 (a) Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean and standard deviation of this distribution assuming that the distribution is Normal. Explain your method for doing this.
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