The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is less for your car. The 59 trips on the highway that you took averaged 25.6 mpg and the standard deviation for these 59 trips was 8.8 mpg. What can be concluded at the α = 0.10 level of significance?a. For this study, we should use [Select an answer].b. The null and alternative hypotheses would be:\( H_0: \) [ ? ] [Select an answer] [______]\( H_1: \) [ ? ] [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 \( ? \) \( \alpha \)f. Based on this, we should [Select an answer] the null hypothesis.g. Thus, the final conclusion is that …[ ] The data suggest that the population mean is *significantly* less than 28 at α = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 28.[ ] The data suggest that the population mean is *not significantly* less than 28 at α = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 28.[ ] The data suggest that the sample mean is *not significantly* less than 25.6 at α = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 25.6.h. Interpret the p-value in the context of the study.[ ] If the population mean mpg for your car on the highway is 28 and if you take another 59 highway trips, then there would be a 2.02806733% chance that the population mean mpg for your car on the highway would be less than 28.[ ] There is a 2.02806733% chance that the population mean mpg for your car on the highway is less than 28.[ ] There is a 2.02806733% chance of a Type I error.[ ] If

Answered: Image /qna-images/answer/7f1689e5-8b17-4b1d-ac33-28d5ec515b37.jpg

The manufacturer claims that your new car gets 28 mpg on the highway. You suspect that the mpg is less for your car. The 59 trips on the highway that you took averaged 25.6 mpg and the standard deviation for these 59 trips was 8.8 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: Họ: ? Select an answer H1: ?v Select an answer c. The test statistic ? v - |(please show your answer to 3 decimal places.) 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 4 decimal places.) O The data suggest that the populaton mean is significantly less than 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 less than 28. O The data suggest that the population mean is not significantly less than 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 less than 28. O The data suggest that the sample mean is not significantly less than 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 less than 25.6. h. Interpret the p-value in the context of the study. Olf the population mean mpg for your car on the highway is 28 and if you take another 59 highway trips, then there would be a 2.02806733% chance that the population mean mpg for your car on the highway would be less than 28. ) There is a 2.02806733% chance that the population mean mpg for your car on the highway is less than 28. There is a 2.02806733% chance of a Type I error. O lf the population mean mpg for your car on the highway is 28 and if you drive another 59 times, then there would be a 2.02806733% chance that the sample mean for these 59 trips would be less than 25.6. i. Interpret the level of significance in the context of the study. ) There is a 10% chance that the population mean mpg for your car on the highway is less than 28. ) There is a 10% chance that you own an electric powered car, so none of this matters to you anyway. Olf the population mean mpg for your car on the highway is 28 and if you take another 59 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 less than 28. O lf the population population mean mpg for your car on the highway is less than 28 and if you take another 59 trips on the highway, then there would be a 10% chance that we would end up