1) Nine owners of Honda Civics in Richmond want to know if they get different ga

Question

1) Nine owners of Honda Civics 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 Civics sold in America get an average of 35 MPG (miles per gallon). The 10 Honda owners drive their cars and record the MPG listed below. Use a single-sample t-test to determine the outcome.

Owner 1: 40 MPG

Owner 2: 32 MPG

Owner 3: 30 MPG

Owner 4: 35 MPG

Owner 5: 36 MPG

Owner 6: 28 MPG

Owner 7: 31 MPG

Owner 8: 32 MPG

Owner 9: 36 MPG

Owner 10: 30 MPG

M = 33

In the box below, provide the following information:

Null Hypothesis in sentence form (1 pt.):

Alternative Hypothesis in sentence form (1 pt.):

Critical Value(s) (2 pts.):

Outcome (determination of significance or not significant, 2 pts.):

Calculations (4 pts.)

Explanation / Answer

Null Hypothesis:

H0: Cars of Honda Civics in Richmond has gas mileage of 35 MPG.

Alternative hypothesis:

Ha: Cars of Honda Civics in Richmond doesn’t have gas mileage of 35 MPG.

Critical values:

Lower critical value = -2.2622

Upper critical value = 2.2622

Calculations:

H0: µ = 35 versus Ha: µ 35

This is a two tailed test.

Test statistic = (Xbar - µ) / [S/sqrt(n)]

We have

Xbar = 33

µ = 35

S = 3.651483717

Sample size = n = 10

Degrees of freedom = n – 1 = 10 – 1 = 9

Test statistic = t = (33 – 35) / [3.65/sqrt(10)]

Test statistic = t = -1.7321

P-value = 0.1173

P-value > Alpha = 0.05

Do not reject null hypothesis at 0.05 level of significance.

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