andom samples were Sample Size Sample Mean Sample Variance from two Population 1 36 9.5 8.81 2 47 7.5 14.82 populations, with sample means, and Construct a 90% confidence interval for the difference in the population means. (Use ₁-₂. Round your answers to two decimal places.) x to 3.29 0.71 X Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) -0.04 x to 4.04 x What does the phrase "90% confident" or "99% confident" mean? ○ 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 - ₂ 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 - #₂. Ⓒ 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. ○ There is a 90% (or 99% as the case may be) probability that the interval will enclose ₁-₂. Hence, we are fairly certain that this particular interval contains ₁-₂- ○ 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 th particular interval contains #₁ - #₂
andom samples were Sample Size Sample Mean Sample Variance from two Population 1 36 9.5 8.81 2 47 7.5 14.82 populations, with sample means, and Construct a 90% confidence interval for the difference in the population means. (Use ₁-₂. Round your answers to two decimal places.) x to 3.29 0.71 X Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) -0.04 x to 4.04 x What does the phrase "90% confident" or "99% confident" mean? ○ 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 - ₂ 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 - #₂. Ⓒ 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. ○ There is a 90% (or 99% as the case may be) probability that the interval will enclose ₁-₂. Hence, we are fairly certain that this particular interval contains ₁-₂- ○ 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 th particular interval contains #₁ - #₂
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
36
9.5
8.81
2
47
7.5
14.82
Construct a 90% confidence interval for the difference in the population means. (Use ₁-₂. Round your answers to two decimal places.)
0.71
X to 3.29
x
Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.)
-0.04
x to 4.04
X
What does the phrase "90% confident" or "99% confident" mean?
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 - ₂.
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 - ₂.
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.
O There is a 90% (or 99% as the case may be) probability that the interval will enclose ₁-₂. Hence, we are fairly certain that this particular interval contains #₁ - ₂.
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
M₂
X
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