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 recallscores?

	n	x	s
Red Background	34	15.13	5.97
Blue Background	36	12.05	5.47

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Part 1

What are the null and alternativehypotheses?

A.

H0:

21=22

H1:

21<22

B.

H0:

21=22

H1:

2122

C.

H0:

2122

H1:

21=22

D.

H0:

21=22

H1:

2122

Part 2

Identify the test statistic.

F=

(Round to two decimal places asneeded.)

Part 3

Use technology to identify theP-value.

TheP-value is

.

(Round to three decimal places asneeded.)

Part 4

What is the conclusion for this hypothesistest?

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

insufficient

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

C.

Reject

H0.

There is

sufficient

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 5

Does the background color appear to have an effect on the variation of word recallscores?

A.

No,

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

thesame

when the color is changed.

C.

No,

the variation of word recall scores appears to be

thesame

when the color is changed.

D.

Yes,

the variation of word recall scores appears to be

different

when the color is changed.