The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 19.8 mpg and the standard deviation for these 50 trips was 7.4 mpg. What can be concluded at the  � = 0.10 level of significance? For this study, we should use     The null and alternative hypotheses would be:       �0:                   �1:               The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     � Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly less than 23 at � = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 23. The data suggest that the population mean is not significantly less than 23 at � = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 23. The data suggest that the sample mean is not significantly less than 23 at � = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 19.8. Interpret the p-value in the context of the study. There is a 0.18036469% chance that the population mean mpg for your car on the highway is less than 23. If the population mean mpg for your car on the highway is 23 and if you drive another 50 times, then there would be a 0.18036469% chance that the sample mean for these 50 trips would be less than 19.8. If the population mean mpg for your car on the highway is 23 and if you take another 50 highway trips, then there would be a 0.18036469% chance that the population mean mpg for your car on the highway would be less than 23.  There is a 0.18036469% chance of a Type I error. 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 less than 23. If the population population mean mpg for your car on the highway is less than 23 and if you take another 50 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 23. If the population mean mpg for your car on the highway is 23 and if you take another 50 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 23.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 19.8 mpg and the standard deviation for these 50 trips was 7.4 mpg. What can be concluded at the  � = 0.10 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 �0:                 

 �1:              

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     �
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the populaton mean is significantly less than 23 at � = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 23.
    • The data suggest that the population mean is not significantly less than 23 at � = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is less than 23.
    • The data suggest that the sample mean is not significantly less than 23 at � = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is less than 19.8.
  6. Interpret the p-value in the context of the study.
    • There is a 0.18036469% chance that the population mean mpg for your car on the highway is less than 23.
    • If the population mean mpg for your car on the highway is 23 and if you drive another 50 times, then there would be a 0.18036469% chance that the sample mean for these 50 trips would be less than 19.8.
    • If the population mean mpg for your car on the highway is 23 and if you take another 50 highway trips, then there would be a 0.18036469% chance that the population mean mpg for your car on the highway would be less than 23.
    •  There is a 0.18036469% chance of a Type I error.
  7. 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 less than 23.
    • If the population population mean mpg for your car on the highway is less than 23 and if you take another 50 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 23.
    • If the population mean mpg for your car on the highway is 23 and if you take another 50 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 23.
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