The average gasoline price of one of the major oil companies has been $2.30 per gallon. Because of cost reduction measures, it is believed that there has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $2.21. Assume that the standard deviation of the population (a) is $0.17. (a) State the null and the alternative hypotheses (in dollars). (Enter != for as needed.) H₂: (b) Compute the test statistic. (Round your answer to two decimal places.) (c) What is the p-value associated with the above sample results? (Round your answer to four decimal places.) p-value= (d) Using a 0.05, test the company's claim. O Reject Ho. There is sufficient evidence that the average price has been reduced. O Do not reject Ho. There is sufficient evidence that the average price has been reduced. O Reject Ho. There is insufficient evidence that the average price has been reduced. O Do not reject Ho. There is insufficient evidence that the average price has been reduced.

MATLAB: An Introduction with Applications
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The average gasoline price of one of the major oil companies has been $2.30 per gallon. Because of cost reduction measures, it is believed that there has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of
the company's gas stations and determined that the average price for the stations in the sample was $2.21. Assume that the standard deviation of the population (o) is $0.17.
(a) State the null and the alternative hypotheses (in dollars). (Enter != for as needed.)
Ho:
H₂:
(b) Compute the test statistic. (Round your answer to two decimal places.)
(c) What is the p-value associated with the above sample results? (Round your answer to four decimal places.)
p-value =
(d) Using a = 0.05, test the company's claim.
O Reject Ho. There is sufficient evidence that the average price has been reduced.
O Do not reject Ho. There is sufficient evidence that the average price has been reduced.
O Reject Ho. There is insufficient evidence that the average price has been reduced.
O Do not reject Ho.There is insufficient evidence that the average price has been reduced.
Transcribed Image Text:The average gasoline price of one of the major oil companies has been $2.30 per gallon. Because of cost reduction measures, it is believed that there has been a significant reduction in the average price. In order to test this belief, we randomly selected a sample of 36 of the company's gas stations and determined that the average price for the stations in the sample was $2.21. Assume that the standard deviation of the population (o) is $0.17. (a) State the null and the alternative hypotheses (in dollars). (Enter != for as needed.) Ho: H₂: (b) Compute the test statistic. (Round your answer to two decimal places.) (c) What is the p-value associated with the above sample results? (Round your answer to four decimal places.) p-value = (d) Using a = 0.05, test the company's claim. O Reject Ho. There is sufficient evidence that the average price has been reduced. O Do not reject Ho. There is sufficient evidence that the average price has been reduced. O Reject Ho. There is insufficient evidence that the average price has been reduced. O Do not reject Ho.There is insufficient evidence that the average price has been reduced.
Expert Solution
Step 1: Information given is

Mean(top enclose straight x)=2.21

standard deviation(straight sigma)=0.17

sample size(n)=36

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