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	34	15.01	5.95
Blue Background	37	12.82	5.44

Question content area bottom

Part 1

What are the null and alternative hypotheses?

A.

H0:

21=22

H1:

21<22

B.

H0:

21=22

H1:

2122

C.

H0:

21=22

H1:

2122

D.

H0:

2122

H1:

21=22

Part 2

Identify the test statistic.

F=enter your response here

(Round to two decimal places as needed.)

Part 3

Use technology to identify the P-value.

The P-value is

enter your response here.

(Round to three decimal places as needed.)Part 4What is the conclusion for this hypothesis test?

A.

Failtoreject

H0.

There is

sufficient

evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.

B.

Reject

H0.

There is

sufficient

evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.

C.

Reject

H0.

There is

insufficient

evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.

D.

Failtoreject

H0.

There is

insufficient

evidence to warrant rejection of the claim that the samples are from populations with the same standard deviation.

Part 5Does the background color appear to have an effect on the variation of word recall scores?

A.

Yes,

the variation of word recall scores appears to be

thesame

when the color is changed.

B.

No,

the variation of word recall scores appears to be

thesame

when the color is changed.

C.

No,

the variation of word recall scores appears to be

different

when the color is changed.

D.

Yes,

the variation of word recall scores appears to be

different

when the color is changed