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.

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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