Let X denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below. a)  Is the population normally distributed? Explain.  b)  If you randomly pick twenty-five customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape.  c)  If you randomly pick one hundred customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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  1. Let X denote the amount of time a randomly selected customer spends on hold with some insurance company. Suppose X follows a distribution with a mean of 8 hours and a variance of 16 hours. The population density curve for X is shown below.

a)  Is the population normally distributed? Explain. 

b)  If you randomly pick twenty-five customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape. 

c)  If you randomly pick one hundred customers, describe the sampling distribution of the average time spent in the store; provide the mean, standard deviation, and shape.

Value of density curve
0.10
0.08
0.06
0.04
0.02
0.00
Population Distribution for Time spent on hold
5
10
15
Time Spent on hold (hours)
20
25
30
Transcribed Image Text:Value of density curve 0.10 0.08 0.06 0.04 0.02 0.00 Population Distribution for Time spent on hold 5 10 15 Time Spent on hold (hours) 20 25 30
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