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? O a. 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 O b. 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 O. 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 Od. 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 the unknown population mean. It's apparent that sample#4's interval doesn't contain the population mean

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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?
10
8
O a. 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
O b. 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
O. 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
O d. 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 the unknown population mean. It's apparent that sample#4's interval doesn't
contain the population mean
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? 10 8 O a. 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 O b. 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 O. 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 O d. 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 the unknown population mean. It's apparent that sample#4's interval doesn't contain the population mean
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