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? Red Background Blue Background What are the null and alternative hypotheses? OA. H₂:0² = 0² H₁:0² <0² n X S 5.98 37 12.11 5.43 34 15.23 OC. H₂:0²=0²2 H₁:0² #02 OB. Ho: 02=02 H₁:0² 20² OD. H₂:0² #02/2 H₁:0² = 0²

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I need to find the test statistic F= and also the P-value both rounded to 4 decimal places

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?
Red Background
Blue Background
What are the null and alternative hypotheses?
OA. H₂:0² = 0²2
H₁:0² <0²/2
n
X
S
34 15.23 5.98
37 12.11 5.43
OC. H₂:0² = 0²
H₁:0² #02
B. H₂:0² = 0²/2
H₁: 0²1 20²2/2
D. H₂:0² #0²/2
H₁:0² = 0²/22
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? Red Background Blue Background What are the null and alternative hypotheses? OA. H₂:0² = 0²2 H₁:0² <0²/2 n X S 34 15.23 5.98 37 12.11 5.43 OC. H₂:0² = 0² H₁:0² #02 B. H₂:0² = 0²/2 H₁: 0²1 20²2/2 D. H₂:0² #0²/2 H₁:0² = 0²/22
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