2 this question has part a and b Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.| | Population 1 | Population 2 ||-----------------|--------------|--------------|| Sample Size | 48 | 52 || Sample Mean | 10.4 | 8.5 || Sample Variance | 9.5 | 15.42 |A 90% confidence interval for \( \mu_1 - \mu_2 \) is 0.74 to 3.06, and a 99% confidence interval for \( \mu_1 - \mu_2 \) is 0.09 to 3.71. Use these confidence intervals to answer the questions.1. Can you conclude with 99% confidence that there is a difference in the means for the two populations? - Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \). - No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \). - No. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \). - Yes. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).2. Can you conclude with 99% confidence that there is a difference in the means for the two populations? - Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \). - No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu

Answered: 2 this question has part a and b

Math

Statistics

2 this question has part a and b

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

2 this question has part a and b

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.

| | Population 1 | Population 2 |
|-----------------|--------------|--------------|
| Sample Size | 48 | 52 |
| Sample Mean | 10.4 | 8.5 |
| Sample Variance | 9.5 | 15.42 |

A 90% confidence interval for \( \mu_1 - \mu_2 \) is 0.74 to 3.06, and a 99% confidence interval for \( \mu_1 - \mu_2 \) is 0.09 to 3.71. Use these confidence intervals to answer the questions.

1. Can you conclude with 99% confidence that there is a difference in the means for the two populations?
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu_2 \).
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).

2. Can you conclude with 99% confidence that there is a difference in the means for the two populations?
- Yes. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which suggests that there is likely a difference between \( \mu_1 \) and \( \mu_2 \).
- No. The value \( \mu_1 - \mu_2 = 0 \) is not in the interval which does not suggest that there is a difference between \( \mu_1 \) and \( \mu

Expert Solution

Confidence interval :

Confidence interval is the range of values and it contains the true population parameter with specified confidence level 90%, 95%, 99%.

Confidence interval for mean difference between two groups is used to test the significant difference between two sample means.

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