Question

# 6.

DETAILS DEVORESTAT9 9.5.064.

The following observations are on time (h) for an AA 1.5-volt alkaline battery to reach a 0.8 voltage.

Brand A: 8.65 8.84 8.91 8.82 8.75 8.52 8.72 8.78 8.76

Brand B: 8.86 8.71 8.71 8.8 8.73 8.76 8.78 8.74 8.79

Normal probability plots support the assumption that the population distributions are normal. Does the data suggest that the variance of the Brand A population distribution differs from that of the

Brand B population distribution? Test the relevant hypotheses using a significance level of 0.05. [Note: The two-sample t test for equality of population means gives a P-value of 0.733.] The Brand A

batteries are much more expensive than the Brand B batteries.

State the relevant hypotheses. (Use a, for Brand A batteries and a₂ for Brand B batteries.)

ⒸH₂0₁ ¹0₂²

ⒸH: 0²-0₂²

M₂: 0,² > 0₂²

H₁: 0 ₁ ² = 0₂²

M₂:0₂ ² = 0₂²

Calculate the test statistic. (Round your answer to two decimal places.)

fm

What can be said about the P-value for the test?

ⒸP-value > 0.100

0.050 < P-value < 0.100

0.010 < P-value < 0.050

0.001 < P-value < 0.010

OP-value < 0.001

MY NOTES

State the conclusion in the problem context.

Reject H. The data suggests that there is difference in the population variances of the two battery brands./nⒸH₂:0₁ ²0₂ ²

H₂: 0₂² 20₂²

ⒸH₂:0₁²-0₂²

Calculate the test statistic. (Round your answer to two decimal places.)

f=

What can be said about the P-value for the test?

OP-value > 0.100

0.050 < P-value < 0.100

0.010 < P-value < 0.050

0.001 < P-value < 0.010

OP-value < 0.001

State the conclusion in the problem context.

Reject Ho. The data suggests that there is difference in the population variances of the two battery brands.

Fail to reject Ho. The data does not suggest that there is difference in the population variances of the two battery brands.

Fail to reject Ho. The data suggests that there is difference in the population variances of the two battery brands.

Reject Ho. The data does not suggest that there is difference in the population variances of the two battery brands.

You may need to use the appropriate table in the Appendix of Tables to answer this question.

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