The percent of fat calories that a person consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) Give the distribution of X. (Round your standard deviation to two decimal places.) (b) For the group of 16, find the probability that the average percent of fat calories consumed is more than four. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined. попе WebAssign Plot 0.15 10 20 30 none 0.15 40 40 0.10 X 0.05 none 0.15 20 20 30 30 40 40 2 10 20 10 30 30 none 0.15 0.10 40 ㄓㄨ 0.05 WebAssign Plot 文 20 20 30 40 0.05 none 0.15 0.10 0.09 20 20 30 40 40 X 文 20 30 40 (c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The percent of fat calories that a person consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that
16 individuals are randomly chosen. Let X = average percent of fat calories.
(a) Give the distribution of X. (Round your standard deviation to two decimal places.)
(b) For the group of 16, find the probability that the average percent of fat calories consumed is more than four. (Round your answer to four decimal
places.)
Graph the situation and shade in the area to be determined.
попе
WebAssign Plot
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Transcribed Image Text:The percent of fat calories that a person consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) Give the distribution of X. (Round your standard deviation to two decimal places.) (b) For the group of 16, find the probability that the average percent of fat calories consumed is more than four. (Round your answer to four decimal places.) Graph the situation and shade in the area to be determined. попе WebAssign Plot 0.15 10 20 30 none 0.15 40 40 0.10 X 0.05 none 0.15 20 20 30 30 40 40 2
10
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30
none
0.15
0.10
40
ㄓㄨ
0.05
WebAssign Plot
文
20
20
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40
0.05
none
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0.10
0.09
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文
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(c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.)
percent of fat calories
Transcribed Image Text:10 20 10 30 30 none 0.15 0.10 40 ㄓㄨ 0.05 WebAssign Plot 文 20 20 30 40 0.05 none 0.15 0.10 0.09 20 20 30 40 40 X 文 20 30 40 (c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories
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