The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n=13 s² = 63.2 S² = 17.5 Population B: n = 16 a. At the 0.05 level of significance, is there evidence of a difference between o? and o?? Determine the hypotheses. Choose the correct answer below. OA. Ho: oso H₂:0² > 0² C. H₂:0² = 0² H₂:0² +0² Use technology to find the test statistic, FSTAT FSTAT = C (Round to two decimal places as needed.) OB. Ho: 002 H₂:0² = 0² OD. Ho: 020² H₂:0² <0²
The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n=13 s² = 63.2 S² = 17.5 Population B: n = 16 a. At the 0.05 level of significance, is there evidence of a difference between o? and o?? Determine the hypotheses. Choose the correct answer below. OA. Ho: oso H₂:0² > 0² C. H₂:0² = 0² H₂:0² +0² Use technology to find the test statistic, FSTAT FSTAT = C (Round to two decimal places as needed.) OB. Ho: 002 H₂:0² = 0² OD. Ho: 020² H₂:0² <0²
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b).
Population A:
- \( n = 13 \)
- \( S^2 = 63.2 \)
Population B:
- \( n = 16 \)
- \( S^2 = 17.5 \)
---
**a. At the 0.05 level of significance, is there evidence of a difference between \(\sigma^2_1\) and \(\sigma^2_2\)?**
Determine the hypotheses. Choose the correct answer below.
- \( \circ \) A. \( H_0: \sigma^2_1 \leq \sigma^2_2 \)
\( H_1: \sigma^2_1 > \sigma^2_2 \)
- \( \circ \) B. \( H_0: \sigma^2_1 \neq \sigma^2_2 \)
\( H_1: \sigma^2_1 = \sigma^2_2 \)
- \( \checkmark \) C. \( H_0: \sigma^2_1 = \sigma^2_2 \)
\( H_1: \sigma^2_1 \neq \sigma^2_2 \)
- \( \circ \) D. \( H_0: \sigma^2_1 = \sigma^2_2 \)
\( H_1: \sigma^2_1 < \sigma^2_2 \)
Use technology to find the test statistic, \( F_{\text{STAT}} \):
\( F_{\text{STAT}} = \underline{\quad} \) (Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e7f7ecd-3648-4bba-a59f-45de6b01dfc9%2F20e3ff75-b181-4eda-96df-8894c7db9a76%2Fbcskeag_processed.png&w=3840&q=75)
Transcribed Image Text:The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b).
Population A:
- \( n = 13 \)
- \( S^2 = 63.2 \)
Population B:
- \( n = 16 \)
- \( S^2 = 17.5 \)
---
**a. At the 0.05 level of significance, is there evidence of a difference between \(\sigma^2_1\) and \(\sigma^2_2\)?**
Determine the hypotheses. Choose the correct answer below.
- \( \circ \) A. \( H_0: \sigma^2_1 \leq \sigma^2_2 \)
\( H_1: \sigma^2_1 > \sigma^2_2 \)
- \( \circ \) B. \( H_0: \sigma^2_1 \neq \sigma^2_2 \)
\( H_1: \sigma^2_1 = \sigma^2_2 \)
- \( \checkmark \) C. \( H_0: \sigma^2_1 = \sigma^2_2 \)
\( H_1: \sigma^2_1 \neq \sigma^2_2 \)
- \( \circ \) D. \( H_0: \sigma^2_1 = \sigma^2_2 \)
\( H_1: \sigma^2_1 < \sigma^2_2 \)
Use technology to find the test statistic, \( F_{\text{STAT}} \):
\( F_{\text{STAT}} = \underline{\quad} \) (Round to two decimal places as needed.)
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