The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance?For this study, we should use (t-test for population mean, z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is (?, less than or equal to, more than) ααBased on this, we should (accept, reject, fail to reject) the null hypothesis.Thus, the final conclusion is that ...The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 22.3.The data suggest that the population mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 24.The data suggest that the populaton mean is significantly less than 24 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 24.Interpret the p-value in the context of the study.If the population mean mpg for your car on the highway is 24 and if you take another 44 highway trips, then there would be a 0.5132315% chance that the population mean mpg for your car on the highway would be less than 24. There is a 0.5132315% chance of a Type I error.There is a 0.5132315% chance that the population mean mpg for your car on the highway is less than 24.If the population mean mpg for your car on the highway is 24 and if you drive another 44 times, then there would be a 0.5132315% chance that the sample mean for these 44 trips would be less than 22.3.Interpret the level of significance in the context of the study.If the population population mean mpg for your car on the highway is less than 24 and if you take another 44 trips on the highway, then there would be a 5% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is equal to 24.If the population mean mpg for your car on the highway is 24 and if you take another 44 trips on the highway, then there would be a 5% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is less than 24.There is a 5% chance that you own an electric powered car, so none of this matters to you anyway.There is a 5% chance that the population mean mpg for your car on the highway is less than 24.

We have given that Sample size n=44 , xbar=22.3 , s=4.2 ,mu=24 and alpha =0.05 Note:- According to…

The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance? For this study, we should use (t-test for population mean, z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) H1: (symbol) (symbol) The test statistic (?,t,z) = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (?, less than or equal to, more than) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 22.3. The data suggest that the population mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 24. The data suggest that the populaton mean is significantly less than 24 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 24.

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use (t-test for population mean, z-test for population proportion)
The null and alternative hypotheses would be:

H0: (symbol) (symbol) ____

H1: (symbol) (symbol) ____

The test statistic (?,t,z) = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is (?, less than or equal to, more than) αα
Based on this, we should (accept, reject, fail to reject) the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 22.3.
- The data suggest that the population mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 24.
- The data suggest that the populaton mean is significantly less than 24 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 24.
Interpret the p-value in the context of the study.
- If the population mean mpg for your car on the highway is 24 and if you take another 44 highway trips, then there would be a 0.5132315% chance that the population mean mpg for your car on the highway would be less than 24.
- There is a 0.5132315% chance of a Type I error.
- There is a 0.5132315% chance that the population mean mpg for your car on the highway is less than 24.
- If the population mean mpg for your car on the highway is 24 and if you drive another 44 times, then there would be a 0.5132315% chance that the sample mean for these 44 trips would be less than 22.3.
Interpret the level of significance in the context of the study.
- If the population population mean mpg for your car on the highway is less than 24 and if you take another 44 trips on the highway, then there would be a 5% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is equal to 24.
- If the population mean mpg for your car on the highway is 24 and if you take another 44 trips on the highway, then there would be a 5% chance that we would end up falsely concluding that the population mean mpg for your car on the highway is less than 24.
- There is a 5% chance that you own an electric powered car, so none of this matters to you anyway.
- There is a 5% chance that the population mean mpg for your car on the highway is less than 24.

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