dependent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 38 9.2 8.46 2 47 7.3 14.22 instruct a 90% confidence interval for the difference in the population means. (Use #₁₂. Round your answers to two decimal places.) to instruct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) to that does the phrase "90% confident" or "99% confident" mean? O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose #₁ #₂. Hence, we are fairly certain that this particular interval contains #₁ - H₂ O There is a 90% (or 99% as the case may be) chance that for any two samples, one sample from population 1 and one sample from population 2, the difference between sample means will fall within the interval. Hence, we are fairly certain that this particula interval contains #₁ - H₂ O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose ₁-₂. Hence, we are fairly certain that this particular interval contains #₁ - O 90% (or 99% as the case may be) of all values from populations 1 and 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains #₁ - ₂- A Th 90% (or 80% as the Honce we are fairhr certain that thie particular intencal containe he) probability that the intencal will end

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Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.
Population
Sample Size
Sample Mean
Sample Variance
1
38
9.2
8.46
2
47
7.3
14.22
Construct a 90% confidence interval for the difference in the population means. (Use μ₁-₂. Round your answers to two decimal places.)
Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.)
to
What does the phrase "90% confident" or "99% confident" mean?
O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose μ₁ −μ₂. Hence, we are fairly certain that this particular interval contains μg - H₂.
O There is a 90% (or 99% as the case may be) chance that for any two samples, one sample from population 1 and one sample from population 2, the difference between sample means will fall within the interval. Hence, we are fairly certain that this particular
interval contains ₁ - ₂.
O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose μ₁-₂. Hence, we are fairly certain that this particular interval contains μ₁ - ₂.
O 90% (or 99% as the case may be) of all values from populations 1 and 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains μ₁ - H₂.
O There is a 90% (or 99% as the case may be) probability that the interval will enclose μ₁-₂. Hence, we are fairly certain that this particular interval contains μ₁ −μ₂.
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 38 9.2 8.46 2 47 7.3 14.22 Construct a 90% confidence interval for the difference in the population means. (Use μ₁-₂. Round your answers to two decimal places.) Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) to What does the phrase "90% confident" or "99% confident" mean? O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose μ₁ −μ₂. Hence, we are fairly certain that this particular interval contains μg - H₂. O There is a 90% (or 99% as the case may be) chance that for any two samples, one sample from population 1 and one sample from population 2, the difference between sample means will fall within the interval. Hence, we are fairly certain that this particular interval contains ₁ - ₂. O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose μ₁-₂. Hence, we are fairly certain that this particular interval contains μ₁ - ₂. O 90% (or 99% as the case may be) of all values from populations 1 and 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains μ₁ - H₂. O There is a 90% (or 99% as the case may be) probability that the interval will enclose μ₁-₂. Hence, we are fairly certain that this particular interval contains μ₁ −μ₂.
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