The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is a different number for your car. The 54 trips on the highway that you took averaged 29.2 mpg and the standard deviation for these 54 trips was 6.8 mpg. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? V Select an answer H1: ? V Select an answer c. The test statistic ? (please show your answer to 3 decimal places.) %3D d. The p-value : (Please show your answer to 4 decimal places.) %3D e. The p-value is f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly different from 28 at a = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is different from 28. The data suggest that the population mean is not significantly different from 28 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is different from 28. The data suggest that the sample mean is not significantly different from 28 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 29.2.

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The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is a
different number for your car. The 54 trips on the highway that you took averaged 29.2 mpg and the standard
deviation for these 54 trips was 6.8 mpg. What can be concluded at the a = 0.10 level of significance?
a. For this study, we should use
Select an answer
b. The null and alternative hypotheses would be:
Но:
?
Select an answer
H1:
?
Select an answer
c. The test statistic ? ▼
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is (?
a
f. Based on this, we should | Select an answer
the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest that the populaton mean is significantly different from 28 at a = 0.10, so there
is statistically significant evidence to conclude that the population mean mpg for your car on the
highway is different from 28.
%3D
The data suggest that the population mean is not significantly different from 28 at a = 0.10, so
there is statistically insignificant evidence to conclude that the population mean mpg for your car
on the highway is different from 28.
The data suggest that the sample mean is not significantly different from 28 at a = 0.10, so
there is statistically insignificant evidence to conclude that the sample mean mpg for your car on
the highway is different from 29.2.
%3D
Transcribed Image Text:The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is a different number for your car. The 54 trips on the highway that you took averaged 29.2 mpg and the standard deviation for these 54 trips was 6.8 mpg. What can be concluded at the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? Select an answer H1: ? Select an answer c. The test statistic ? ▼ (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is (? a f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly different from 28 at a = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is different from 28. %3D The data suggest that the population mean is not significantly different from 28 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is different from 28. The data suggest that the sample mean is not significantly different from 28 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 29.2. %3D
h. Interpret the p-value in the context of the study.
O If the population mean mpg for your car on the highway is 28 and if you take another 54 trips on
the highway then there would be a 20.03213764% chance that the population mean would either
be less than 27 or greater than 29.2.
There is a 20.03213764% chance of a Type I error.
There is a 20.03213764% chance that the population mean mpg for your car on the highway is not
equal to 28.
If the population mean mpg for your car on the highway is 28 and if you take another 54 trips on
the highway, then there would be a 20.03213764% chance that the sample mean for these 54
highway trips would either be less than 27 or greater than 29.2.
i. Interpret the level of significance in the context of the study.
There is a 10% chance that you own an electric powered car, so none of this matters to you
anyway.
There is a 10% chance that the population mean mpg for your car on the highway is different
from 28.
O If the population population mean mpg for your car on the highway is different from 28 and if
you take another 54 trips on the highway, then there would be a 10% chance that we would end
up falsely concluding 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 54 trips on
the highway, then there would be a 10% chance that we would end up falsely concluding that the
population mean mpg for your car on the highway is different from 28.
Transcribed Image Text:h. Interpret the p-value in the context of the study. O If the population mean mpg for your car on the highway is 28 and if you take another 54 trips on the highway then there would be a 20.03213764% chance that the population mean would either be less than 27 or greater than 29.2. There is a 20.03213764% chance of a Type I error. There is a 20.03213764% chance that the population mean mpg for your car on the highway is not equal to 28. If the population mean mpg for your car on the highway is 28 and if you take another 54 trips on the highway, then there would be a 20.03213764% chance that the sample mean for these 54 highway trips would either be less than 27 or greater than 29.2. i. Interpret the level of significance in the context of the study. There is a 10% chance that you own an electric powered car, so none of this matters to you anyway. There is a 10% chance that the population mean mpg for your car on the highway is different from 28. O If the population population mean mpg for your car on the highway is different from 28 and if you take another 54 trips on the highway, then there would be a 10% chance that we would end up falsely concluding 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 54 trips on the highway, then there would be a 10% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is different from 28.
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