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The manufacturer claims that your new car gets 35 mpg on the highway. You suspect that the mpg is less for your car. The 45 trips on the highway that you took averaged 29.5 mpg and the standard deviation for these 45 trips was 11.6 mpg. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answery H1: ?v Select an answerv c. The test statistic ? = (please show your answer to 3 decimal places.)

The manufacturer claims that your new car gets 35 mpg on the highway. You suspect that the mpg is less for your car. The 45 trips on the highway that you took averaged 29.5 mpg and the standard deviation for these 45 trips was 11.6 mpg. What can be concluded at the a = 0.01 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answery H1: ?v Select an answerv c. The test statistic ? = (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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na O 20 Health benefits. All The States That.. The manufacturer claims that your new car gets 35 mpg on the highway. You suspect that the mpg is less for your car. The 45 trips on the highway that you took averaged 29.5 mpg and the standard deviation for these 45 trips was 11.6 mpg. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H: ?vSelect an answerv c. The test statistic ?v = (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 answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the populaton mean is significantly less than 35 at a = 0.01, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 35. O The data suggest that the sample mean is not significantly less than 35 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 29.5. O The data suggest that the population mean is not significantly less than 35 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 35. h. Interpret the p-value in the context of the study. O If the population mean mpg for your car on the highway is 35 and if you take another 45 highway trips, then there would be a 0.13465608% chance that the population mean mpg for your car on the highway would be less than 35.
Transcribed Image Text:na O 20 Health benefits. All The States That.. The manufacturer claims that your new car gets 35 mpg on the highway. You suspect that the mpg is less for your car. The 45 trips on the highway that you took averaged 29.5 mpg and the standard deviation for these 45 trips was 11.6 mpg. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H: ?vSelect an answerv c. The test statistic ?v = (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 answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the populaton mean is significantly less than 35 at a = 0.01, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 35. O The data suggest that the sample mean is not significantly less than 35 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 29.5. O The data suggest that the population mean is not significantly less than 35 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 35. h. Interpret the p-value in the context of the study. O If the population mean mpg for your car on the highway is 35 and if you take another 45 highway trips, then there would be a 0.13465608% chance that the population mean mpg for your car on the highway would be less than 35.
Expert Solution
Step 1

(a)

 

Determine the type of test used for the given study.

 

The type of study used for the given study is “t-test for a population mean” since because the population standard deviation is unknown.

 

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