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Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear have an effect on the variation of word recall scores? n X S 15.04 5.97 Red Background 35 Blue Background 36 12.93 5.46 What are the null and alternative hypotheses? OA. H₂:0²=0₂2 OB. Ho: 002 H₁:0² *0² H₁:0² = 0² OC. H₂:0²=0²2 H₁:0² 20² OD. H₂:0²=0²2 H₁:0² <0²2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. OB. Reject Ho. There is insufficient evidence warrant rejection of the claim that the samples are from populations with the same standard deviation. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. Does the background color appear have an effect on the variation word recall scores? O A. Yes, the variation of word recall scores appears to be the same when the color is changed. OB. No, the variation of word recall scores appears to be the same when the color is changed. O C. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.

Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear have an effect on the variation of word recall scores? n X S 15.04 5.97 Red Background 35 Blue Background 36 12.93 5.46 What are the null and alternative hypotheses? OA. H₂:0²=0₂2 OB. Ho: 002 H₁:0² *0² H₁:0² = 0² OC. H₂:0²=0²2 H₁:0² 20² OD. H₂:0²=0²2 H₁:0² <0²2 Identify the test statistic. F = (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. OB. Reject Ho. There is insufficient evidence warrant rejection of the claim that the samples are from populations with the same standard deviation. O C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. Does the background color appear have an effect on the variation word recall scores? O A. Yes, the variation of word recall scores appears to be the same when the color is changed. OB. No, the variation of word recall scores appears to be the same when the color is changed. O C. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.

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
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Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n X S Red Background 35 15.04 5.97 Blue Background 36 12.93 5.46 What are the null and alternative hypotheses? O A. H₁: 0²₁ = 0²/2 H₁:0²/ ± 0²/2 OB. Ho: 0² #02/2 H₁:0² = 0²/2 O C. H₁: 0²₁2 = 0²/22 OD. H₂:0² = 02²2 H₁ : 0²71 <0²/22 H₁: 021 202²/2 Identify the statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. Does the background color appear to have an effect on the variation of word recall scores? O A. Yes, the variation of word recall scores appears to be the same when the color is changed. O B. No, the variation of word recall scores appears to be the same when the color is changed. O C. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.
Transcribed Image Text:Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n X S Red Background 35 15.04 5.97 Blue Background 36 12.93 5.46 What are the null and alternative hypotheses? O A. H₁: 0²₁ = 0²/2 H₁:0²/ ± 0²/2 OB. Ho: 0² #02/2 H₁:0² = 0²/2 O C. H₁: 0²₁2 = 0²/22 OD. H₂:0² = 02²2 H₁ : 0²71 <0²/22 H₁: 021 202²/2 Identify the statistic. F= (Round to two decimal places as needed.) Use technology to identify the P-value. The P-value is. (Round to three decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. B. Reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. C. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. O D. Fail to reject Ho. There is insufficient evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation. Does the background color appear to have an effect on the variation of word recall scores? O A. Yes, the variation of word recall scores appears to be the same when the color is changed. O B. No, the variation of word recall scores appears to be the same when the color is changed. O C. No, the variation of word recall scores appears to be different when the color is changed. O D. Yes, the variation of word recall scores appears to be different when the color is changed.
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### Word Recall Experiment: Influence of Background Color on Variation of Word Recall Scores In this study, words were displayed on a computer screen with background colors of red and blue. The result scores for a test of word recall are presented below. At a 0.05 significance level, we are testing the claim that the samples are from populations with the same standard deviation. Both samples are considered independent simple random samples from populations with normal distributions. The primary question here is whether the background color has an effect on the variation of word recall scores. #### Sample Data: | Background Color | Sample Size (n) | Mean (x̄) | Standard Deviation (s) | |------------------|-----------------|----------|-----------------------| | Red Background | 35 | 15.04 | 5.97 | | Blue Background | 36 | 12.93 | 5.46 | --- ### Hypotheses: What are the null and alternative hypotheses? - **Option A** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 \ne \sigma_2^2 \) - **Option B** - \( H_0: \sigma_1^2 \ne \sigma_2^2 \) - \( H_1: \sigma_1^2 = \sigma_2^2 \) - **Option C** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 < \sigma_2^2 \) - **Option D** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 < \sigma_2^2 \) The correct hypothesis pair is: **Option A** ### Test Statistic: The test statistic is: \[ F = 1.2 \] (rounded to two decimal places) ### P-value Calculation: Using technology to identify the P-value, we obtain: \[ \text{P-value} = 0.594 \] (rounded to three decimal places) ### Conclusion: What is the conclusion for this hypothesis test? - **Option A**: Reject \( H
Transcribed Image Text:### Word Recall Experiment: Influence of Background Color on Variation of Word Recall Scores In this study, words were displayed on a computer screen with background colors of red and blue. The result scores for a test of word recall are presented below. At a 0.05 significance level, we are testing the claim that the samples are from populations with the same standard deviation. Both samples are considered independent simple random samples from populations with normal distributions. The primary question here is whether the background color has an effect on the variation of word recall scores. #### Sample Data: | Background Color | Sample Size (n) | Mean (x̄) | Standard Deviation (s) | |------------------|-----------------|----------|-----------------------| | Red Background | 35 | 15.04 | 5.97 | | Blue Background | 36 | 12.93 | 5.46 | --- ### Hypotheses: What are the null and alternative hypotheses? - **Option A** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 \ne \sigma_2^2 \) - **Option B** - \( H_0: \sigma_1^2 \ne \sigma_2^2 \) - \( H_1: \sigma_1^2 = \sigma_2^2 \) - **Option C** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 < \sigma_2^2 \) - **Option D** - \( H_0: \sigma_1^2 = \sigma_2^2 \) - \( H_1: \sigma_1^2 < \sigma_2^2 \) The correct hypothesis pair is: **Option A** ### Test Statistic: The test statistic is: \[ F = 1.2 \] (rounded to two decimal places) ### P-value Calculation: Using technology to identify the P-value, we obtain: \[ \text{P-value} = 0.594 \] (rounded to three decimal places) ### Conclusion: What is the conclusion for this hypothesis test? - **Option A**: Reject \( H
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