Which of the following statements best describes the % confidence that the sample intervals in relation to the unknown population mean? Could we say that these samples are a good representative of the population mean? What other characteristics are evident in the samples?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Which of the following statements best describes the % confidence that the sample intervals in
relation to the unknown population mean? Could we say that these samples are a good representative
of the population mean? What other characteristics are evident in the samples?
3
2
a. Approximately 95% confident that the population mean is within the sample intervals, thus it's probable that this is a good representative of the
population. All samples appear to have equal intervals implying equal standard deviation and sample sizes
b. We could say that we are 99% confident that the sample intervals contain the value of the unknown population mean. This is a good representation of
C There is about 90% confidence that the sample intervals contain the value of the unknown population mean. And this would imply that the sampling
distribution is a good representative of the population. All samples appear to have equal intervals thus their standard errors are equal
d. We are about 90% confident that the sample mean is within a certain distance of the unknown population mean. Increasing the sample sizes for all
samples would decrease this interval and thus our % confidence will also decrease. However, this will improve the precision of estimating the
population
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Transcribed Image Text:Which of the following statements best describes the % confidence that the sample intervals in relation to the unknown population mean? Could we say that these samples are a good representative of the population mean? What other characteristics are evident in the samples? 3 2 a. Approximately 95% confident that the population mean is within the sample intervals, thus it's probable that this is a good representative of the population. All samples appear to have equal intervals implying equal standard deviation and sample sizes b. We could say that we are 99% confident that the sample intervals contain the value of the unknown population mean. This is a good representation of C There is about 90% confidence that the sample intervals contain the value of the unknown population mean. And this would imply that the sampling distribution is a good representative of the population. All samples appear to have equal intervals thus their standard errors are equal d. We are about 90% confident that the sample mean is within a certain distance of the unknown population mean. Increasing the sample sizes for all samples would decrease this interval and thus our % confidence will also decrease. However, this will improve the precision of estimating the population Sample
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