The owner of a service station wants to determine if owners of new cars (two years old or less) change their car’s oil more frequently than owners of older cars (more than two years old). From his records he takes a sample of new cars and a sample of older cars and determines the number of times the oil was changed in the last 12 months. New : 4, 3, 3, 2, 4, 3, 2 Old : 4, 2, 1, 2, 3, 2, 1 At 5% level of significance, Do these data allow the service manager to conclude that new car owners change their car’s oil, on the average, more frequently than older car owners? a. There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners. b. There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when in fact such evidence may exist. c. There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when in fact such evidence may not exist. d. There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners. e. The significance level here does not provide enough information to make a conclusion. What type of error is possible? a. Type I. b. Type II. c. Rejection region. d. P-value. e. No error has been committed. The 95% confidence interval for estimating the difference in the actual average number of oil changes by the owners of new cars and owners of older cars is: a. (-0.049,1.763). b. (-0.251,1.965). c. (-0.506,2.220). d. (-0.696,2.410). e. cannot be determined by the information provided.
The owner of a service station wants to determine if owners of new cars (two years old or less) change their car’s oil more frequently than owners of older cars (more than two years old). From his records he takes a sample of new cars and a sample of older cars and determines the number of times the oil was changed in the last 12 months.
New : 4, 3, 3, 2, 4, 3, 2
Old : 4, 2, 1, 2, 3, 2, 1
At 5% level of significance, Do these data allow the service manager to conclude that new car owners change their car’s oil, on the average, more frequently than older car owners?
| a. |
There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners. |
|
| b. |
There is not sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when in fact such evidence may exist. |
|
| c. |
There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners when in fact such evidence may not exist. |
|
| d. |
There is sufficient evidence to conclude that new car owners change their car's oil, on the average, more frequently than older car owners. |
|
| e. |
The significance level here does not provide enough information to make a conclusion. |
What type of error is possible?
| a. |
Type I. |
|
| b. |
Type II. |
|
| c. |
Rejection region. |
|
| d. |
P-value. |
|
| e. |
No error has been committed. |
The 95% confidence
| a. |
(-0.049,1.763). |
|
| b. |
(-0.251,1.965). |
|
| c. |
(-0.506,2.220). |
|
| d. |
(-0.696,2.410). |
|
| e. |
cannot be determined by the information provided. |
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