The average salary for American college graduates is $44,800. You suspect that the average is less for graduates from your college. The 50 randomly selected graduates from your college had an average salary of 544,467 and a standard deviation of $5,500. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and altemative hypotheses would be: Họ: H1: c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

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The average salary for American college graduates is $44,800. You suspect that the average is less for
graduates from your college. The 50 randomly selected graduates from your college had an average salary
of 544,467 and a standard deviation of $5,500. What can be concluded at the a = 0.01 level of
significance?
a. For this study, we should use t-test for a population mean
b. The null and altemative hypotheses would be:
Họ: Pv
H1:
c. The test statistic t v
(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
f. Based on this, we should Select an answer
g. Thus, the final conclusion is that ..
the null hypothesis.
The data suggest that the sample mean is not significantly less than 44,800 at a = 0.01, so
there is statistically insignificant evidence to conclude that the sample mean salary for
graduates from your college is less than 44,467.
O The data suggest that the population mean is not significantly less than 44,800 at a = 0.01, so
there is statistically insignificant evidence to conclude that the population mean salary for
graduates from your college is less than 44,800.
O The data suggest that the populaton mean is significantly less than 44,800 at a = 0.01, so
there is statistically significant evidence to conclude that the population mean salary for
graduates from your college is less than 44,800.
h. Interpret the p-value in the context of the study.
O f the population mean salary for graduates from your college is $44,800 and if another 50
graduates from your college are surveyed then there would be a 33.50800579% chance that the
population mean salary for graduates from your college would be less than $44,800.
O There is a 33.50800579% chance that the population mean salary for graduates from your
college is less than $44,800.
O There is a 33.50800579% chance of a Type I error.
Olf the population mean salary for graduates from your college is $44,800 and if another 50
graduates from your college are surveyed then there would be a 33.50800579% chance that the
sample mean for these 50 graduates from your college would be less than $44,467.
Transcribed Image Text:The average salary for American college graduates is $44,800. You suspect that the average is less for graduates from your college. The 50 randomly selected graduates from your college had an average salary of 544,467 and a standard deviation of $5,500. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and altemative hypotheses would be: Họ: Pv H1: c. The test statistic t v (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 f. Based on this, we should Select an answer g. Thus, the final conclusion is that .. the null hypothesis. The data suggest that the sample mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is less than 44,467. O The data suggest that the population mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. O The data suggest that the populaton mean is significantly less than 44,800 at a = 0.01, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. h. Interpret the p-value in the context of the study. O f the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the population mean salary for graduates from your college would be less than $44,800. O There is a 33.50800579% chance that the population mean salary for graduates from your college is less than $44,800. O There is a 33.50800579% chance of a Type I error. Olf the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the sample mean for these 50 graduates from your college would be less than $44,467.
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