Suppose we have two groups with sample sizes of 9 and 14. FOR WATC You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) Group 1 has a sample sd of 10.1 (n = 9) while group 2 has a sample sd = 8.1 (n = 14). Test whether the variances in the two groups are significantly different at the 5% level. State the null and alternative hypotheses. (Enter != for # as needed.) 2, Ho H₁: 2 => = 4252 = 8,1 2. 0²² 20² 2=0.05 200 (0.1) ²102,01 = 1,554793477= (811) 65.61 1155 Find the test statistic. (Round your answer to two decimal places.) 1.55 Please explain how to find the p-value using technology Use technology to find the p-value. (Round your answer to four decimal places.) p-value thanks!! State your conclusion. Fail to reject Ho. There is insufficient evidence to conclude that the variances in the two groups are significantly different. O Fail to reject Ho. There is sufficient evidence to conclude that the variances in the two groups are significantly different. O Reject Ho. There is sufficient evidence to conclude that the variances in the two groups are significantly different. O Reject Ho. There is insufficient evidence to conclude that the variances in the two groups are significantly different. (b) Suppose that the mean in group 1 = 15.5 and the mean in group 2 = 12.7. Based on your answer to part (a) test whether the means in the two groups are significantly different, and report a two-sided p-value. (Use group 1 - group 2.)
Suppose we have two groups with sample sizes of 9 and 14. FOR WATC You can use the Inferential Statistics page and the Distribution Calculators page in SALT to answer parts of this question. (a) Group 1 has a sample sd of 10.1 (n = 9) while group 2 has a sample sd = 8.1 (n = 14). Test whether the variances in the two groups are significantly different at the 5% level. State the null and alternative hypotheses. (Enter != for # as needed.) 2, Ho H₁: 2 => = 4252 = 8,1 2. 0²² 20² 2=0.05 200 (0.1) ²102,01 = 1,554793477= (811) 65.61 1155 Find the test statistic. (Round your answer to two decimal places.) 1.55 Please explain how to find the p-value using technology Use technology to find the p-value. (Round your answer to four decimal places.) p-value thanks!! State your conclusion. Fail to reject Ho. There is insufficient evidence to conclude that the variances in the two groups are significantly different. O Fail to reject Ho. There is sufficient evidence to conclude that the variances in the two groups are significantly different. O Reject Ho. There is sufficient evidence to conclude that the variances in the two groups are significantly different. O Reject Ho. There is insufficient evidence to conclude that the variances in the two groups are significantly different. (b) Suppose that the mean in group 1 = 15.5 and the mean in group 2 = 12.7. Based on your answer to part (a) test whether the means in the two groups are significantly different, and report a two-sided p-value. (Use group 1 - group 2.)
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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![**Text Transcription for Educational Website:**
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Suppose we have two groups with sample sizes of 9 and 14.
You can use the Inferential Statistics page and the Distribution Calculators page in **SALT** to answer parts of this question.
(a) Group 1 has a sample standard deviation (sd) of 10.1 (\( n = 9 \)) while group 2 has a sample sd of 8.1 (\( n = 14 \)). Test whether the variances in the two groups are significantly different at the 5% level.
State the null and alternative hypotheses. (Enter != for ≠ as needed.)
\[ H_0: \sigma_1^2 = \sigma_2^2 \]
\[ H_1: \sigma_1^2 \neq \sigma_2^2 \]
\[ F = \frac{s_1^2}{s_2^2} \]
\[ F = \frac{(10.1)^2}{(8.1)^2} = 1.55472 \ldots \]
**Find the test statistic. (Round your answer to two decimal places.)**
\[ F = 1.55 \]
*Please explain how to find the p-value using technology! Thanks!!*
**Use technology to find the p-value. (Round your answer to four decimal places.)**
\[ p\text{-value} = \underline{\quad\quad\quad\quad} \]
**State your conclusion.**
- ⚪ Fail to reject \( H_0 \). There is insufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Fail to reject \( H_0 \). There is sufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Reject \( H_0 \). There is sufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Reject \( H_0 \). There is insufficient evidence to conclude that the variances in the two groups are significantly different.
(b) Suppose that the mean in group 1 = 15.5 and the mean in group 2 = 12.7. Based on your answer to part (a), test whether the means in the two groups are significantly different, and report a two-sided p-value. (Use group 1 - group 2.)
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**Explanation of Diagram/](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeadb183-1175-48ee-be1d-be4cbd36e1e9%2F28152eaa-07d7-45db-91af-a1d90ff15834%2Fl45x76r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website:**
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Suppose we have two groups with sample sizes of 9 and 14.
You can use the Inferential Statistics page and the Distribution Calculators page in **SALT** to answer parts of this question.
(a) Group 1 has a sample standard deviation (sd) of 10.1 (\( n = 9 \)) while group 2 has a sample sd of 8.1 (\( n = 14 \)). Test whether the variances in the two groups are significantly different at the 5% level.
State the null and alternative hypotheses. (Enter != for ≠ as needed.)
\[ H_0: \sigma_1^2 = \sigma_2^2 \]
\[ H_1: \sigma_1^2 \neq \sigma_2^2 \]
\[ F = \frac{s_1^2}{s_2^2} \]
\[ F = \frac{(10.1)^2}{(8.1)^2} = 1.55472 \ldots \]
**Find the test statistic. (Round your answer to two decimal places.)**
\[ F = 1.55 \]
*Please explain how to find the p-value using technology! Thanks!!*
**Use technology to find the p-value. (Round your answer to four decimal places.)**
\[ p\text{-value} = \underline{\quad\quad\quad\quad} \]
**State your conclusion.**
- ⚪ Fail to reject \( H_0 \). There is insufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Fail to reject \( H_0 \). There is sufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Reject \( H_0 \). There is sufficient evidence to conclude that the variances in the two groups are significantly different.
- ⚪ Reject \( H_0 \). There is insufficient evidence to conclude that the variances in the two groups are significantly different.
(b) Suppose that the mean in group 1 = 15.5 and the mean in group 2 = 12.7. Based on your answer to part (a), test whether the means in the two groups are significantly different, and report a two-sided p-value. (Use group 1 - group 2.)
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**Explanation of Diagram/
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