Question

Nine owners of Honda Odysseys in Richmond want to know if they get different gas mileage with their cars than what the Honda Corporation reports. Honda of America states that all Honda Odysseys sold in America get an average of 28 MPG (miles per gallon) with a standard deviation of 2.16. The nine Honda owners drive their cars and record the MPG listed below. Use a single-sample z-test to determine the outcome (alpha = .05, two-tailed).

Owner 1: 29 MPG

Owner 2: 32 MPG

Owner 3: 31 MPG

Owner 4: 30 MPG

Owner 5: 30 MPG

Owner 6: 29 MPG

Owner 7: 28 MPG

Owner 8: 31 MPG

Owner 9: 30 MPG

M = 30

In the box below, provide the following information:

Null Hypothesis in sentence form (1 point):

Alternative Hypothesis in sentence form (1 point):

Critical Value(s) (2 points):

Calculations (4 points): Note: the more detail you provide, the more partial credit that I can give you if you make a mistake.

Outcome (determination of significance or not, and what this reflects in everyday language, 2 points)

Nine owners of Honda Odysseys in Richmond want to know if they get different gas mileage with their cars than what the Honda Corporation reports. Honda of America states that all Honda Odysseys sold in America get an average of 28 MPG (miles per gallon) with a standard deviation of 2.16. The nine Honda owners drive their cars and record the MPG listed below. Use a single-sample z-test to determine the outcome (alpha = .05, two-tailed).

Owner 1: 29 MPG

Owner 2: 32 MPG

Owner 3: 31 MPG

Owner 4: 30 MPG

Owner 5: 30 MPG

Owner 6: 29 MPG

Owner 7: 28 MPG

Owner 8: 31 MPG

Owner 9: 30 MPG

M = 30

In the box below, provide the following information:

Null Hypothesis in sentence form (1 point):

Alternative Hypothesis in sentence form (1 point):

Critical Value(s) (2 points):

Calculations (4 points): Note: the more detail you provide, the more partial credit that I can give you if you make a mistake.

Outcome (determination of significance or not, and what this reflects in everyday language, 2 points)

Answer 1

The critical values are : +/- 1.96

Since we reject the null hypothesis so there is evidence to conclude that they get different gas mileage with their cars than what the Honda Corporation reports.