The average salary for American college graduates is $44,000. You suspect that the average is more for graduates from your college. The 44 randomly selected graduates from your college had an average salary of $47,909 and a standard deviation of $7,940. What can be concluded at the = 0.10 level of significance?

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:

H0:H0: ? p Select an answer < > =

H1:H1: ? p Select an answer = < >

1. The test statistic ? z t = (please show your answer to 3 decimal places.)
2. The p-value = (Please show your answer to 4 decimal places.)
3. The p-value is ? >
4. Based on this, we should Select an answer reject accept fail to reject the null hypothesis.
5. Thus, the final conclusion is that ...
6. Interpret the p-value in the context of the study.
7. Interpret the level of significance in the context of the study.
   • There is a 10% chance that the population mean salary for graduates from your college is greater than $44,000.
   • If the population population mean salary for graduates from your college is greater than $44,000 and if another 44 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $44,000.
   • If the population mean salary for graduates from your college is $44,000 and if another 44 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is greater than $44,000.
   • There is a 10% chance that your won't graduate, so what's the point?

• There is a 0.10736737% chance of a Type I error.
• There is a 0.10736737% chance that the population mean salary for graduates from your college is greater than $44,000 .
• If the population mean salary for graduates from your college is $44,000 and if another 44 graduates from your college are surveyed then there would be a 0.10736737% chance that the population mean salary for graduates from your college would be greater than $44,000.
• If the population mean salary for graduates from your college is $44,000 and if another 44 graduates from your college are surveyed then there would be a 0.10736737% chance that the sample mean for these 44 graduates from your college surveyed would be greater than $47,909.

• The data suggest that the population mean is not significantly greater than 44,000 at = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 44,000.
• The data suggest that the sample mean is not significantly greater than 44,000 at = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 47,909.
• The data suggest that the populaton mean is significantly greater than 44,000 at = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 44,000.