The average salary for American college graduates is $47,100. You suspect that the average is more for graduates from your college. The 47 randomly selected graduates from your college had an average salary of $48,441 and a standard deviation of $9,610. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < = ≠ > H1:H1: ? p μ 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
The average salary for American college graduates is $47,100. You suspect that the average is more for graduates from your college. The 47 randomly selected graduates from your college had an average salary of $48,441 and a standard deviation of $9,610. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < = ≠ > H1:H1: ? p μ 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
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 for American college graduates is $47,100. You suspect that the average is more for graduates from your college. The 47 randomly selected graduates from your college had an average salary of $48,441 and a standard deviation of $9,610. What can be concluded at the αα = 0.01 level of significance?
- For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
- The null and alternative hypotheses would be:
H0:H0: ? p μ Select an answer < = ≠ >
H1:H1: ? p μ 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 accept fail to reject reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest that the sample mean is not significantly greater than 47,100 at αα = 0.01, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 48,441.
- The data suggest that the populaton mean is significantly greater than 47,100 at αα = 0.01, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 47,100.
- The data suggest that the population mean is not significantly greater than 47,100 at αα = 0.01, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 47,100.
- Interpret the p-value in the context of the study.
- If the population mean salary for graduates from your college is $47,100 and if another 47 graduates from your college are surveyed then there would be a 17.19608561% chance that the population mean salary for graduates from your college would be greater than $47,100.
- There is a 17.19608561% chance that the population mean salary for graduates from your college is greater than $47,100 .
- There is a 17.19608561% chance of a Type I error.
- If the population mean salary for graduates from your college is $47,100 and if another 47 graduates from your college are surveyed then there would be a 17.19608561% chance that the sample mean for these 47 graduates from your college surveyed would be greater than $48,441.
- Interpret the level of significance in the context of the study.
- If the population mean salary for graduates from your college is $47,100 and if another 47 graduates from your college are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean salary for graduates from your college is greater than $47,100.
- If the population population mean salary for graduates from your college is greater than $47,100 and if another 47 graduates from your college are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $47,100.
- There is a 1% chance that your won't graduate, so what's the point?
- There is a 1% chance that the population mean salary for graduates from your college is greater than $47,100.
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