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 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
s
Red Background
Blue Background
What are the null and alternative hypotheses?
A.
:
:
B.
:
:
C.
:
:
D.
:
:
Identify the test statistic.
F
nothing (Round to two decimal places as needed.)
Use technology to identify the P-value.
The P-value is
nothing. (Round to three decimal places as needed.)
What is the conclusion for this hypothesis test?
A.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
B.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
C.
. There is evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.
D.
. There is 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?
A.
, the variation of word recall scores appears to be when the color is changed.
B.
, the variation of word recall scores appears to be when the color is changed.
C.
, the variation of word recall scores appears to be when the color is changed.
D.
, the variation of word recall scores appears to be when the color is changed.
