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Two random samples were selected independently from populations having normal distributions. The statistics given below were extracted from the samples. Complete parts a through c. X₁ = 38.8 X₂ = 30.2 a. If o, 5 and o₂ =3 and the sample sizes are n₁ = 40 and n = 40, construct a 99% confidence interval for the difference between the two population means. The confidence interval is 6.23 s (H₁-H₂) ≤ 10.98 (Round to two decimal places as needed.) b. If o, 0₂, s, =5, and s₂ =3, and the sample sizes are n₁ = 20 and n., =20, construct a 99% confidence interval for the difference between the two population means. The confidence interval is ≤ (H₁-H₂) = (Round to two decimal places as needed.).

Two random samples were selected independently from populations having normal distributions. The statistics given below were extracted from the samples. Complete parts a through c. X₁ = 38.8 X₂ = 30.2 a. If o, 5 and o₂ =3 and the sample sizes are n₁ = 40 and n = 40, construct a 99% confidence interval for the difference between the two population means. The confidence interval is 6.23 s (H₁-H₂) ≤ 10.98 (Round to two decimal places as needed.) b. If o, 0₂, s, =5, and s₂ =3, and the sample sizes are n₁ = 20 and n., =20, construct a 99% confidence interval for the difference between the two population means. The confidence interval is ≤ (H₁-H₂) = (Round to two decimal places as needed.).

MATLAB: An Introduction with Applications
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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## Comparing Two Population Means Two random samples were independently selected from populations with normal distributions. The statistics extracted from these samples are as follows: - Sample Mean 1 (\( \overline{x}_1 \)): 38.8 - Sample Mean 2 (\( \overline{x}_2 \)): 30.2 ### Problems to Solve #### a. Constructing a 99% Confidence Interval for the Difference between Two Population Means Given the following information: - Population standard deviation (σ) for the first sample (σ1): 5 - Population standard deviation (σ) for the second sample (σ2): 3 - Sample size for the first sample (n1): 40 - Sample size for the second sample (n2): 40 We aim to construct a 99% confidence interval for the difference between the two population means. The confidence interval is calculated as: \[ 6.23 < (\mu_1 - \mu_2) < 10.98 \] **Note**: Values are rounded to two decimal places as needed. #### b. Constructing Another 99% Confidence Interval Given another set of information: - Sample standard deviation (s) for the first sample (s1): 5 - Sample standard deviation (s) for the second sample (s2): 5 - Sample size for the first sample (n1): 20 - Sample size for the second sample (n2): 20 We aim to construct another 99% confidence interval for the difference between the two population means. The confidence interval is calculated as: \[ [ \ \ \ ] < (\mu_1 - \mu_2) < [ \ \ \ ] \] **Note**: Values should be rounded to two decimal places as needed. ### Diagrams and Graphs There are no diagrams or graphs associated with this text.
Transcribed Image Text:## Comparing Two Population Means Two random samples were independently selected from populations with normal distributions. The statistics extracted from these samples are as follows: - Sample Mean 1 (\( \overline{x}_1 \)): 38.8 - Sample Mean 2 (\( \overline{x}_2 \)): 30.2 ### Problems to Solve #### a. Constructing a 99% Confidence Interval for the Difference between Two Population Means Given the following information: - Population standard deviation (σ) for the first sample (σ1): 5 - Population standard deviation (σ) for the second sample (σ2): 3 - Sample size for the first sample (n1): 40 - Sample size for the second sample (n2): 40 We aim to construct a 99% confidence interval for the difference between the two population means. The confidence interval is calculated as: \[ 6.23 < (\mu_1 - \mu_2) < 10.98 \] **Note**: Values are rounded to two decimal places as needed. #### b. Constructing Another 99% Confidence Interval Given another set of information: - Sample standard deviation (s) for the first sample (s1): 5 - Sample standard deviation (s) for the second sample (s2): 5 - Sample size for the first sample (n1): 20 - Sample size for the second sample (n2): 20 We aim to construct another 99% confidence interval for the difference between the two population means. The confidence interval is calculated as: \[ [ \ \ \ ] < (\mu_1 - \mu_2) < [ \ \ \ ] \] **Note**: Values should be rounded to two decimal places as needed. ### Diagrams and Graphs There are no diagrams or graphs associated with this text.
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