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
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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:µ =
10,196
Ha: µ + 10,196
HO. μ > 10,196
H2: µ < 10,196
Ho:u < 10,196
Ha: µ 2 10,196
Ho:H > 10,196
Ha: Hs 10,196
Ho:H< 10,196
H: µ > 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.
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 Ho. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196.
O O
Transcribed Image Text:yy to an 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:µ = 10,196 Ha: µ + 10,196 HO. μ > 10,196 H2: µ < 10,196 Ho:u < 10,196 Ha: µ 2 10,196 Ho:H > 10,196 Ha: Hs 10,196 Ho:H< 10,196 H: µ > 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. 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 Ho. There is insufficient evidence to conclude that the population mean price at this dealership differs from the national mean price of 10,196. O O
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