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

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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?

  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 μ  Select an answer < = ≠ >       

 H1:H1:  ? p μ  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 ? > ≤  αα
  4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
  5. 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.
  6. 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.
  7. 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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