a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability x 1 27 24.5 8 TI 29 23 8 1 22.5 16 18 8 (Type integers or fractions.) b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. the mean of the sample means, x 31 29.5 28 27.5 - 160 -100 -100 -0 -100 The mean of the population, is (Round to two decimal places as needed.) Probability |--100 -100 -100 - 16 16 8 8 8 1

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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Question
The assets (in billions of dollars) of the four wealthiest people in a particular country are 31, 28, 27, 18. Assume that samples of size n = 2 are randomly selected with replacement from this
population of four values.
a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the
sample mean that are the same have been combined.
Probability
X
1
27
16
1
24.5
8
1
23
]]]
8
1
22.5
16
1
18
8
(Type integers or fractions.)
b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.
the mean of the sample means,
X
31
29.5
29
28
27.5
- 100
The mean of the population, is
(Round to two decimal places as needed.)
Probability
1
16
1
8
1
8
1
8
1
16
Transcribed Image Text:The assets (in billions of dollars) of the four wealthiest people in a particular country are 31, 28, 27, 18. Assume that samples of size n = 2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined. Probability X 1 27 16 1 24.5 8 1 23 ]]] 8 1 22.5 16 1 18 8 (Type integers or fractions.) b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. the mean of the sample means, X 31 29.5 29 28 27.5 - 100 The mean of the population, is (Round to two decimal places as needed.) Probability 1 16 1 8 1 8 1 8 1 16
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