A market analyst wants to compare the grocery bill between two states, Georgia and Alabama. She asked her staff to visit 35 random supermarket locations in Georgia and 32 random supermarket locations in Alabama. The results are given below. Using the 10% significance level, test the claim that the average grocery bill is higher in Georgia than in Alabama (claim: μG > μA) by choosing the correct answer choice below.
Sample Size |
Average Grocery Bill |
Population Standard Deviation | |||||||||
Georgia (G) |
35 |
$ |
130.75 |
$ | 3.56 | ||||||
Alabama (A) |
32 |
$ |
128.15 |
$ | 3.12 | ||||||
Answers:
Test statistic: 3.19, Critical values: 1.282, Conclusion: We support the claim that the average grocery bill in Georgia is higher than in Alabama. | |
Test statistic: 5.83, Critical values: 1.282, Conclusion: We support the claim that the average grocery bill in Georgia is higher than in Alabama. | |
Test statistic: 3.19, Critical values: 1.645, Conclusion: We support the claim that the average grocery bill in Georgia is higher than in Alabama. | |
Test statistic: 5.83, Critical values: 1.645, Conclusion: We support the claim that the average grocery bill in Georgia is higher than in Alabama. | |
Test statistic: 2.72, Critical values: 1.96, Conclusion: We reject the claim that the average grocery bill in Georgia is higher than in Alabama. |
Correct option is:
Test statistic: 3.19, Critical values: 1.282, Conclusion: We support the claim that the average grocery bill in Georgia is higher than in Alabama. |
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