Suppose the mean number of people attending all 2017 Veterans Day celebrations held in Virginia is 182 with a standard deviation of 37 people. A few of the celebrations are huge, and hence the distribution is skewed heavily to the right. If a simple random sample of 54 Veterans Day celebrations held in Virginia is selected and the number of people in attendance determined for each, describe completely the sampling distribution of, the resulting mean number of people attending for this sample of 54 Veterans Day celebrations held in Virginia.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose the mean number of people attending all 2017 Veterans Day celebrations held in Virginia is 182 with a standard deviation of 37 people. A few of the celebrations
are huge, and hence the distribution is skewed heavily to the right. If a simple random sample of 54 Veterans Day celebrations held in Virginia is selected and the number
of people in attendance determined for each, describe completely the sampling distribution of, the resulting mean number of people attending for this sample of 54
Veterans Day celebrations held in Virginia.
What is the minimum sample size needed to describe the distribution of the sample mean for this problem?
40 or more
O Any size will work
15 or more
22
Is the sample size large enough to apply the Central Limit Theorem?
No
O
Yes
23
What is the center of the sampling distribution of the mean?
4.318
156
5.035
182
134
3.335
--
-
Transcribed Image Text:Suppose the mean number of people attending all 2017 Veterans Day celebrations held in Virginia is 182 with a standard deviation of 37 people. A few of the celebrations are huge, and hence the distribution is skewed heavily to the right. If a simple random sample of 54 Veterans Day celebrations held in Virginia is selected and the number of people in attendance determined for each, describe completely the sampling distribution of, the resulting mean number of people attending for this sample of 54 Veterans Day celebrations held in Virginia. What is the minimum sample size needed to describe the distribution of the sample mean for this problem? 40 or more O Any size will work 15 or more 22 Is the sample size large enough to apply the Central Limit Theorem? No O Yes 23 What is the center of the sampling distribution of the mean? 4.318 156 5.035 182 134 3.335 -- -
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