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.

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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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