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The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is more for your car. The 66 trips on the highway that you took averaged 32 mpg and the standard deviation for these 66 trips was 10.9 mpg. What can be concluded at the  αα = 0.05 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion Correct
2. The null and alternative hypotheses would be:

H0:H0:  ? p μ CorrectSelect an answer ≤ = ≥ ≠

Ha:Ha:  ? μ p CorrectSelect an answer = < > ≠

1. The test statistic ? z t Correct = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? ≤ > Correct αα
4. Based on this, we should Select an answer accept fail to reject reject Incorrect the null hypothesis.
5. Thus, the final conclusion is that …
• The data suggest that the sample mean is not significantly more than 28 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is more than 32.
• The data suggest that the population mean is not significantly more than 28 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is more than 28.
• The data suggest that the populaton mean is significantly more than 28 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is more than 28.

Correct

6. Interpret the p-value in the context of the study.
• There is a 0.2017964% chance that the population mean mpg for your car on the highway is greater than 28 .
• If the population mean mpg for your car on the highway is 28 and if you take another 66 trips on the highway then there would be a 0.2017964% chance that the sample mean mpg for these 66 trips would be greater than 32.
• There is a 0.2017964% chance of a Type I error.
• If the population mean mpg for your car on the highway is 28 and if you take another 66 trips on the highway then there would be a 0.2017964% chance that the population mean mpg for your car on the highway would be greater than 28.

Incorrect

7. Interpret the level of significance in the context of the study.
• There is a 5% chance that you own an electric powered car, so none of this matters to you anyway.
• If the population population mean mpg for your car on the highway is more than 28 and if you take another 66 trips on the highway, then there would be a 5% chance that we would end up falsely concuding that the population mean mpg for your car on the highway is equal to 28.
• If the population mean mpg for your car on the highway is 28 and if you take another 66 trips on the highway, then there would be a 5% chance that we would end up falsely concuding that the population mean mpg for your car on the highway is more than 28.
• There is a 5% chance that the population mean mpg for your car on the highway is more than 28.

Incorrect

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