The average salary in this city is $47,400. Is the average less for single people? 70 randomly selected single people who were surveyed had an average salary of $45,379 and a standard deviation of $13,700. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Correct The null and alternative hypotheses would be: H0:H0: Correct Correct H1:H1: Correct 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 ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest that the population mean is not significantly less than 47,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean salary for singles is less than 47,400.The data suggest that the populaton mean is significantly less than 47,400 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is less than 47,400.The data suggest that the sample mean is not significantly less than 47,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is less than 45,379.Interpret the p-value in the context of the study. There is a 11.06302774% chance of a Type I error.If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 11.06302774% chance that the population mean salary for singles would be less than $47,400.If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 11.06302774% chance that the sample mean for these 70 singles surveyed would be less than $45,379.There is a 11.06302774% chance that the population mean salary for singles is less than $47,400.Interpret the level of significance in the context of the study.If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is less than $47,400.There is a 5% chance that the population mean salary for singles is less than $47,400.If the population population mean salary for singles is less than $47,400 and if another 70 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is equal to $47,400.There is a 5% chance that you won the lottery, so you may not have to even have to worry about passing this class.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average salary in this city is $47,400. Is the average less for single people? 70 randomly selected single people who were surveyed had an average salary of $45,379 and a standard deviation of $13,700. What can be concluded at the αα = 0.05 level of significance?

For this study, we should use Correct

The null and alternative hypotheses would be:

H0:H0: Correct Correct

H1:H1: Correct

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 αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest that the population mean is not significantly less than 47,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean salary for singles is less than 47,400.
- The data suggest that the populaton mean is significantly less than 47,400 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is less than 47,400.
- The data suggest that the sample mean is not significantly less than 47,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is less than 45,379.
Interpret the p-value in the context of the study.
- There is a 11.06302774% chance of a Type I error.
- If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 11.06302774% chance that the population mean salary for singles would be less than $47,400.
- If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 11.06302774% chance that the sample mean for these 70 singles surveyed would be less than $45,379.
- There is a 11.06302774% chance that the population mean salary for singles is less than $47,400.
Interpret the level of significance in the context of the study.
- If the population mean salary for singles is $47,400 and if another 70 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is less than $47,400.
- There is a 5% chance that the population mean salary for singles is less than $47,400.
- If the population population mean salary for singles is less than $47,400 and if another 70 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is equal to $47,400.
- There is a 5% chance that you won the lottery, so you may not have to even have to worry about passing this class.

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