MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The average salary for American college graduates is $44,300. You suspect that the average is different
for graduates from your college. The 61 randomly selected graduates from your college had an average
salary of $44,099 and a standard deviation of $4,460. What can be concluded at the a = 0.10 level of
significance?
a. For this study, we should useSelect an answer
b. The null and alternative hypotheses would be:
Họ:
vSelect an answer
H: ? vSelect an answer
c. The test statistic
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is
va
the null hypothesis.
f. Based on this, we should Select an answer
g. Thus, the final conclusion is that ...
O The data suggest that the population mean is not significantly different from 44,300 at a =
0.10, so there is statistically insignificant evidence to conclude that the population mean
salary for graduates from your college is different from 44,300.
The data suggest that the sample mean is not significantly different from 44,300 at a =
0.10, so there is statistically insignificant evidence to conclude that the sample mean salary
for graduates from your college is different from 44,099.
O The data suggest that the populaton mean is significantly different from 44,300 at a = 0.10,
so there is statistically significant evidence to conclude that the population mean salary for
graduates from your college is different from 44,300.
h. Interpret the p-value in the context of the study.
O If the population mean salary for graduates from your college is $44,300 and if another 61
graduates from your college are surveyed then there would be a 72.57% chance that the
population mean would either be less than $44,099 or greater than $44,501.
O There is a 72.57% chance of a Type I error.
O lf the population mean salary for graduates from your college is $44,300 and if another 61
graduates from your college are surveyed then there would be a 72.57% chance that the
sample mean for these 61 graduates from your college would either be less than $44,099 or
greater than $44,501.
O There is a 72.57% chance that the population mean salary for graduates from your college is
not equal to $44,300.
i. Interpret the level of significance in the context of the study.
O If the population mean salary for graduates from your college is $44,300 and if another 61
graduates from your college are surveyed then there would be a 10% chance that we would
end up falsely concuding that the population mean salary for graduates from your college is
different from $44,300.
O lf the population population mean salary for graduates from your college is different from
$44,300 and if another 61 graduates from your college are surveyed then there would be a
10% chance that we would end up falsely concuding that the population mean salary for
graduates from your college is equal to $44,300.
O There is a 10% chance that your won't graduate, so what's the point?
O There is a 10% chance that the population mean salary for graduates from your college is
different from $44,300.
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Transcribed Image Text:The average salary for American college graduates is $44,300. You suspect that the average is different for graduates from your college. The 61 randomly selected graduates from your college had an average salary of $44,099 and a standard deviation of $4,460. What can be concluded at the a = 0.10 level of significance? a. For this study, we should useSelect an answer b. The null and alternative hypotheses would be: Họ: vSelect an answer H: ? vSelect an answer c. The test statistic (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is va the null hypothesis. f. Based on this, we should Select an answer g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 44,300 at a = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is different from 44,300. The data suggest that the sample mean is not significantly different from 44,300 at a = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is different from 44,099. O The data suggest that the populaton mean is significantly different from 44,300 at a = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is different from 44,300. h. Interpret the p-value in the context of the study. O If the population mean salary for graduates from your college is $44,300 and if another 61 graduates from your college are surveyed then there would be a 72.57% chance that the population mean would either be less than $44,099 or greater than $44,501. O There is a 72.57% chance of a Type I error. O lf the population mean salary for graduates from your college is $44,300 and if another 61 graduates from your college are surveyed then there would be a 72.57% chance that the sample mean for these 61 graduates from your college would either be less than $44,099 or greater than $44,501. O There is a 72.57% chance that the population mean salary for graduates from your college is not equal to $44,300. i. Interpret the level of significance in the context of the study. O If the population mean salary for graduates from your college is $44,300 and if another 61 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concuding that the population mean salary for graduates from your college is different from $44,300. O lf the population population mean salary for graduates from your college is different from $44,300 and if another 61 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concuding that the population mean salary for graduates from your college is equal to $44,300. O There is a 10% chance that your won't graduate, so what's the point? O There is a 10% chance that the population mean salary for graduates from your college is different from $44,300.
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