displayed computer given below. Use ith background pulations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distr word recall scores? n x 34 15.43 5.97 Red Background Blue Background 36 12.64 5.42 at are the null and alternative hypotheses? A. H₂:0² *0² H₁:0² = 0² OB. Ho: o=02₂ H₁:0² <0² C. H₂:0²=0²2 H₂:0² 20² OD. H₂:0²=0²2 Hig? #²

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What is the conclusion for this hypothesis test?
O A. 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.
B. Reject Ho. There is sufficient 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.
D. 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?
OA. Yes, the variation of word recall scores appears to be different when the color is changed.
B. Yes, the variation of word recall scores appears to be the same when the color is changed.
C.
No, the variation of word recall scores appears to be different when the color is changed.
D. No, the variation of word recall scores appears to be the same when the color is changed.
Transcribed Image Text:What is the conclusion for this hypothesis test? O A. 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. B. Reject Ho. There is sufficient 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. D. 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? OA. Yes, the variation of word recall scores appears to be different when the color is changed. B. Yes, the variation of word recall scores appears to be the same when the color is changed. C. No, the variation of word recall scores appears to be different when the color is changed. D. No, the variation of word recall scores appears to be the same 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 to have an effect on the variation
of word recall scores?
n
x
S
34 15.43 5.97
Red Background
Blue Background
36 12.64 5.42
What are the null and alternative hypotheses?
A. Ho: 0²/12 #0²/22
OB. H₂:0²=0₂2
H₁:0² = 0²/2
H₁:0² <0²/2
OC. H₂:0² = 0²₂2
H₁: 0²1 20²2/2
OD. H₂:0² = 0²/2
H₁:0² *0²/2
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.)
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 34 15.43 5.97 Red Background Blue Background 36 12.64 5.42 What are the null and alternative hypotheses? A. Ho: 0²/12 #0²/22 OB. H₂:0²=0₂2 H₁:0² = 0²/2 H₁:0² <0²/2 OC. H₂:0² = 0²₂2 H₁: 0²1 20²2/2 OD. H₂:0² = 0²/2 H₁:0² *0²/2 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.)
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