Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 2 Sample Size 39 47 Sample Mean 9.5 7.5 Sample Variance 8.33 14.72 Construct a 90% confidence interval for the difference in the population means. (Use u, - H2. Round your answers to two decimal places.) to 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 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 - H2 O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose 4, - Hz. Hence, we are fairly certain that this particular interval contains 4, - Hz O There is a 90% (or 99% as the case may be) probability that the interval will enclose u, - H2. Hence, we are fairly certain that this particular interval contains u, - Hz. O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose , - H2. Hence, we are fairly certain that this particular interval contains , - H2 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 u, - H2-

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Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.
Population
1
2
Sample Size
39
47
Sample Mean
9.5
7.5
Sample Variance
8.33
14.72
Construct a 90% confidence interval for the difference in the population means. (Use u, - µ,. Round your answers to two decimal places.)
to
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 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 u, - H2.
O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose u, - lz. Hence, we are fairly certain that this particular interval contains u, - µ,.
O There is a 90% (or 99% as the case may be) probability that the interval will enclose H, - µz. Hence, we are fairly certain that this particular interval contains u, - Hg.
O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose u, - Hz. Hence, we are fairly certain that this particular interval contains u, - Hz.
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 µ, - µ,.
Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 47 Sample Mean 9.5 7.5 Sample Variance 8.33 14.72 Construct a 90% confidence interval for the difference in the population means. (Use u, - µ,. Round your answers to two decimal places.) to 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 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 u, - H2. O In repeated sampling, 10% (or 1% as the case may be) of all intervals constructed in this manner will enclose u, - lz. Hence, we are fairly certain that this particular interval contains u, - µ,. O There is a 90% (or 99% as the case may be) probability that the interval will enclose H, - µz. Hence, we are fairly certain that this particular interval contains u, - Hg. O In repeated sampling, 90% (or 99% as the case may be) of all intervals constructed in this manner will enclose u, - Hz. Hence, we are fairly certain that this particular interval contains u, - Hz. 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 µ, - µ,.
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