The manufacturer claims that your new car gets 20 mpg on the highway. You suspect that the mpg is a different number for your car. The 42 trips on the highway that you took averaged 28.1 mpg and the tandard deviation for these 42 trips was 6.5 mpg. What can be concluded at the x = 0.10 level of ignificance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: Select an answer c. The test statistic d. The p-value= 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 ... = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest that the sample mean is not significantly different from 26 at x = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 28.1. O The data suggest that the populaton mean is significantly different from 26 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 26. O The data suggest that the population mean is not significantly different from 26 at x = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is different from 26. h. Interpret the p-value in the context of the study. O There is a 4.25056656% chance that the population mean mpg for your car on the highway is not equal to 26. O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips on the highway, then there would be a 4.25056656% chance that the sample mean for these 42 highway trips would either be less than 24 or greater than 28.1. O There is a 4.25056656% chance of a Type I error. O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips on the highway then there would be a 4.25056656% chance that the population mean would either be less than 24 or greater than 28.1. i. Interpret the level of significance in the context of the study. O If the population mean mpg for your car on the highway is 26 and if you take another 42 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 26. O If the population population mean mpg for your car on the highway is different from 26 and if you take another 42 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 26. O There is a 10% chance that you own an electric powered car, so none of this matters to you anyway. O There is a 10% chance that the population mean mpg for your car on the highway is different

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The manufacturer claims that your new car gets 26 mpg on the highway. You suspect that the mpg is a
different number for your car. The 42 trips on the highway that you took averaged 28.1 mpg and the
standard deviation for these 42 trips was 6.5 mpg. What can be concluded at the x = 0.10 level of
significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho:
H₁: ?
Select an answer
Select an answer
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
c. The test statistic ?
d. The p-value =
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 ...
O The data suggest that the sample mean is not significantly different from 26 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 28.1.
O The data suggest that the populaton mean is significantly different from 26 at x = 0.10, so
there is statistically significant evidence to conclude that the population mean mpg for your
car on the highway is different from 26.
The data suggest that the population mean is not significantly different from 26 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 26.
h. Interpret the p-value in the context of the study.
There is a 4.25056656% chance that the population mean mpg for your car on the highway is
not equal to 26.
O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips
on the highway, then there would be a 4.25056656 % chance that the sample mean for these 42
highway trips would either be less than 24 or greater than 28.1.
There is a 4.25056656% chance of a Type I error.
O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips
on the highway then there would be a 4.25056656% chance that the population mean would
either be less than 24 or greater than 28.1.
i. Interpret the level of significance in the context of the study.
O If the population mean mpg for your car on the highway is 26 and if you take another 42 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 26.
O If the population population mean mpg for your car on the highway is different from 26 and if
you take another 42 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 26.
O 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 26.
Transcribed Image Text:The manufacturer claims that your new car gets 26 mpg on the highway. You suspect that the mpg is a different number for your car. The 42 trips on the highway that you took averaged 28.1 mpg and the standard deviation for these 42 trips was 6.5 mpg. What can be concluded at the x = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: H₁: ? Select an answer Select an answer (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) c. The test statistic ? d. The p-value = 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 ... O The data suggest that the sample mean is not significantly different from 26 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 28.1. O The data suggest that the populaton mean is significantly different from 26 at x = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is different from 26. The data suggest that the population mean is not significantly different from 26 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 26. h. Interpret the p-value in the context of the study. There is a 4.25056656% chance that the population mean mpg for your car on the highway is not equal to 26. O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips on the highway, then there would be a 4.25056656 % chance that the sample mean for these 42 highway trips would either be less than 24 or greater than 28.1. There is a 4.25056656% chance of a Type I error. O If the population mean mpg for your car on the highway is 26 and if you take another 42 trips on the highway then there would be a 4.25056656% chance that the population mean would either be less than 24 or greater than 28.1. i. Interpret the level of significance in the context of the study. O If the population mean mpg for your car on the highway is 26 and if you take another 42 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 26. O If the population population mean mpg for your car on the highway is different from 26 and if you take another 42 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 26. O 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 26.
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