In: Statistics and Probability
The mean price for used cars is $10,495. 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 table below.
9,116 | 11,325 | 10,282 | 8,499 | 11,120 |
7,540 | 9,761 | 12,920 | 7,095 | 12,666 |
13,087 | 7,889 | 7,241 | 10,141 | 11,336 |
9,669 | 11,537 | 9,093 | 8,096 | 8,772 |
11,664 | 7,874 | 11,805 | 9,606 | 12,376 |
9,070 | 11,187 | 9,556 | 8,880 | 9,911 |
7,246 | 11,600 | 12,202 | 6,567 | 11,144 |
11,899 | 7,995 | 8,763 | 6,709 | 9,334 |
10,804 | 9,934 | 8,114 | 7,185 | 11,652 |
7,220 | 8,124 | 11,026 | 12,478 | 12,526 |
a. Formulate the hypotheses that can be used to determine whether a difference exists in the mean price for used cars at the dealership.
- Select your answer -<>≤≥=≠Item 1 | ||
- Select your answer -<>≤≥=≠Item 2 |
b. What is the p-value? Enter negative value if your answer is negative.
-value | (to 3 decimals) |
-value | - Select your answer -lower than .01between .01 and .025between .025 and .05between .05 and .10between .10 and .20greater than .20Item 4 |
c. At a=0.01, what is your conclusion?
- Select your answer -Do not rejectRejectItem 5 the null. - Select your answer -CannotCanItem 6 conclude the population mean price at this dealership differs from the national mean price $10,495.