Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? Arsenic amounts (micrograms) Dialog content starts A 4.7 4.7 4.8 4.8 5.3 5.3 5.5 5.7 5.7 5.9 5.9 6.4 B 2.3 3.9 4.4 4.6 4.8 5.1 5.1 5.6 5.6 5.7 5.7 5.7 C 5.8 5.8 6.7 7.1 7.2 7.2 7.4 7.4 7.4 7.5 7.5 7.9 Determine the value of the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value for the F test statistic. The P-value is (Round to three decimal places as needed.) Since the P-value is ▼ greater less than the significance level, ▼ reject fail to reject H0. There ▼ is not is sufficient evidence to refute the claim that the three samples are from populations with the same mean. Does this support a conclusion that the brown rice from region C poses the greatest health problem? A. Since the conclusion is to fail to reject H0, do not conclude that region C poses the greatest health problem. B. Since the conclusion is to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. C. Since the conclusion is to fail to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. D. Since the conclusion is to reject H0, do not conclude that region C poses the greatest health problem. E. While this seems reasonable, this cannot be determined from the results of the ANOVA test.

Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? Arsenic amounts (micrograms) Dialog content starts A 4.7 4.7 4.8 4.8 5.3 5.3 5.5 5.7 5.7 5.9 5.9 6.4 B 2.3 3.9 4.4 4.6 4.8 5.1 5.1 5.6 5.6 5.7 5.7 5.7 C 5.8 5.8 6.7 7.1 7.2 7.2 7.4 7.4 7.4 7.5 7.5 7.9 Determine the value of the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value for the F test statistic. The P-value is (Round to three decimal places as needed.) Since the P-value is ▼ greater less than the significance level, ▼ reject fail to reject H0. There ▼ is not is sufficient evidence to refute the claim that the three samples are from populations with the same mean. Does this support a conclusion that the brown rice from region C poses the greatest health problem? A. Since the conclusion is to fail to reject H0, do not conclude that region C poses the greatest health problem. B. Since the conclusion is to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. C. Since the conclusion is to fail to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. D. Since the conclusion is to reject H0, do not conclude that region C poses the greatest health problem. E. While this seems reasonable, this cannot be determined from the results of the ANOVA test.

Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem? Arsenic amounts (micrograms) Dialog content starts A 4.7 4.7 4.8 4.8 5.3 5.3 5.5 5.7 5.7 5.9 5.9 6.4 B 2.3 3.9 4.4 4.6 4.8 5.1 5.1 5.6 5.6 5.7 5.7 5.7 C 5.8 5.8 6.7 7.1 7.2 7.2 7.4 7.4 7.4 7.5 7.5 7.9 Determine the value of the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the P-value for the F test statistic. The P-value is (Round to three decimal places as needed.) Since the P-value is ▼ greater less than the significance level, ▼ reject fail to reject H0. There ▼ is not is sufficient evidence to refute the claim that the three samples are from populations with the same mean. Does this support a conclusion that the brown rice from region C poses the greatest health problem? A. Since the conclusion is to fail to reject H0, do not conclude that region C poses the greatest health problem. B. Since the conclusion is to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. C. Since the conclusion is to fail to reject H0 and the mean arsenic amount is greatest in region C, conclude that region C poses the greatest health problem. D. Since the conclusion is to reject H0, do not conclude that region C poses the greatest health problem. E. While this seems reasonable, this cannot be determined from the results of the ANOVA test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Available below are amounts of arsenic in samples of brown rice from three different regions. The amounts are in micrograms of arsenic and all samples have the same serving size. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different regions? Given that the amounts of arsenic in the samples from region C have the highest mean, can we conclude that brown rice from region C poses the greatest health problem?

Arsenic amounts (micrograms)

Dialog content starts


A	4.7	4.7	4.8	4.8	5.3	5.3	5.5	5.7	5.7	5.9	5.9	6.4
B	2.3	3.9	4.4	4.6	4.8	5.1	5.1	5.6	5.6	5.7	5.7	5.7
C	5.8	5.8	6.7	7.1	7.2	7.2	7.4	7.4	7.4	7.5	7.5	7.9

Determine the value of the test statistic.

The test statistic is

(Round to two decimal places as needed.)

Determine the P-value for the F test statistic.

The P-value is

(Round to three decimal places as needed.)

Since the P-value is

▼

greater

less

than the significance level,

▼

reject

fail to reject

H0.

There

▼

is not

is

sufficient evidence to refute the claim that the three samples are from populations with the same mean.

Does this support a conclusion that the brown rice from region

C

poses the greatest health problem?

A.

Since the conclusion is to fail to reject

H0,

do not conclude that region

C

poses the greatest health problem.

B.

Since the conclusion is to reject

H0

and the mean arsenic amount is greatest in region

C,

conclude that region

C

poses the greatest health problem.

C.

Since the conclusion is to fail to reject

H0

and the mean arsenic amount is greatest in region

C,

conclude that region

C

poses the greatest health problem.

D.

Since the conclusion is to reject

H0,

do not conclude that region

C

poses the greatest health problem.

E.

While this seems reasonable, this cannot be determined from the results of the ANOVA test.

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