Suppose the mean price for used cars is $10,196. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are shown in the file named UsedCars. 12,400 10,400 | 12,100 10,000 11,000 8,895 7,675 9,975 6,350| 10,470 9,895 11,250 8,795 12,500 9,340 10,150 9,200 9,395 11,000| 10,640 10,000 7,500 8,000 10,440| 10,200 10,300 9,740 9,280 10,930 8,000 9,000 7,680 9,400 10,730 7,350 12,240 11,970 8,240 9,910 10,080 9,440 8,970 9,500 10,050 10,130 11,400 8,500 7,500 9,090 10,500 (a) Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership. Ho: H = 10,196 H: u + 10,196 Ho: H2 10,196 HaiH< 10,196 Ho: H < 10,196 H:H2 10,196 Ho:H > 10,196 H:Hs 10,196 Ho:HS 10,196 H:4 > 10,196 (b) What is the test statistic? (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. O Do not reject Ho. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. Reject Ho. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. Reject He. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196.
Suppose the mean price for used cars is $10,196. A manager of a Kansas City used car dealership reviewed a sample of 50 recent used car sales at the dealership in an attempt to determine whether the population mean price for used cars at this particular dealership differed from the national mean. The prices for the sample of 50 cars are shown in the file named UsedCars. 12,400 10,400 | 12,100 10,000 11,000 8,895 7,675 9,975 6,350| 10,470 9,895 11,250 8,795 12,500 9,340 10,150 9,200 9,395 11,000| 10,640 10,000 7,500 8,000 10,440| 10,200 10,300 9,740 9,280 10,930 8,000 9,000 7,680 9,400 10,730 7,350 12,240 11,970 8,240 9,910 10,080 9,440 8,970 9,500 10,050 10,130 11,400 8,500 7,500 9,090 10,500 (a) Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership. Ho: H = 10,196 H: u + 10,196 Ho: H2 10,196 HaiH< 10,196 Ho: H < 10,196 H:H2 10,196 Ho:H > 10,196 H:Hs 10,196 Ho:HS 10,196 H:4 > 10,196 (b) What is the test statistic? (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? Do not reject Ho. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. O Do not reject Ho. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. Reject Ho. There is sufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. Reject He. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196.
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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