The manufacturer claims that your new car gets 26 mpg on the highway. You suspect that the mpg is a different number for your car. The 43 trips on the highway that you took averaged 24.5 mpg and the standard deviation for these 43 trips was 2.8 mpg. What can be concluded at the α = 0.10 level of significance?For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer = ≠ > < H1:H1: ? μ p Select an answer ≠ = < > The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? > ≤ ααBased on this, we should Select an answer fail to reject accept reject the null hypothesis.Thus, the final conclusion is that ...The data suggest that the sample mean is not significantly different from 26 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 24.5.The data suggest that the populaton mean is significantly different from 26 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is different from 26.The data suggest that the population mean is not significantly different from 26 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is different from 26.Interpret the p-value in the context of the study.There is a 0.10748402% chance that the population mean mpg for your car on the highway is not equal to 26.If the population mean mpg for your car on the highway is 26 and if you take another 43 trips on the highway then there would be a 0.10748402% chance that the population mean would either be less than 24.5 or greater than 27.5.If the population mean mpg for your car on the highway is 26 and if you take another 43 trips on the highway, then there would be a 0.10748402% chance that the sample mean for these 43 highway trips would either be less than 24.5 or greater than 27.5.There is a 0.10748402% chance of a Type I error.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 different from 26.If the population population mean mpg for your car on the highway is different from 26 and if you take another 43 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 26.There is a 10% chance that you own an electric powered car, so none of this matters to you anyway.If the population mean mpg for your car on the highway is 26 and if you take another 43 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 different from 26.

As per our policy, we are authorized to answer only three sub parts at a time. So, kindly send…

Answered: The manufacturer claims that your new…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

The manufacturer claims that your new car gets 26 mpg on the highway. You suspect that the mpg is a different number for your car. The 43 trips on the highway that you took averaged 24.5 mpg and the standard deviation for these 43 trips was 2.8 mpg. What can be concluded at the α = 0.10 level of significance?

For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
The null and alternative hypotheses would be:

H0:H0: ? p μ Select an answer = ≠ > <

H1:H1: ? μ p Select an answer ≠ = < >

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is ? > ≤ αα
Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the sample mean is not significantly different from 26 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean mpg for your car on the highway is different from 24.5.
- The data suggest that the populaton mean is significantly different from 26 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is different from 26.
- The data suggest that the population mean is not significantly different from 26 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean mpg for your car on the highway is different from 26.
Interpret the p-value in the context of the study.
- There is a 0.10748402% chance that the population mean mpg for your car on the highway is not equal to 26.
- If the population mean mpg for your car on the highway is 26 and if you take another 43 trips on the highway then there would be a 0.10748402% chance that the population mean would either be less than 24.5 or greater than 27.5.
- If the population mean mpg for your car on the highway is 26 and if you take another 43 trips on the highway, then there would be a 0.10748402% chance that the sample mean for these 43 highway trips would either be less than 24.5 or greater than 27.5.
- There is a 0.10748402% chance of a Type I error.
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 different from 26.
- If the population population mean mpg for your car on the highway is different from 26 and if you take another 43 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 26.
- There is a 10% chance that you own an electric powered car, so none of this matters to you anyway.
- If the population mean mpg for your car on the highway is 26 and if you take another 43 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 different from 26.

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.