The average salary for American college graduates is $41,600. You suspect that the average is more for graduates from your college. The 42 randomly selected graduates from your college had an average salary of $46,441 and a standard deviation of $12,330. What can be concluded at the  αα = 0.10 level of significance? For this study, we should use     The null and alternative hypotheses would be:       H0:H0:                   H1:H1:               The test statistic     =  (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      the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600. The data suggest that the sample mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 46,441. The data suggest that the populaton mean is significantly greater than 41,600 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600. Interpret the p-value in the context of the study. There is a 0.74052846% chance that the population mean salary for graduates from your college is greater than $41,600 .  There is a 0.74052846% chance of a Type I error. If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the sample mean for these 42 graduates from your college surveyed would be greater than $46,441. If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the population mean salary for graduates from your college would be greater than $41,600. 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 $41,600. If the population mean salary for graduates from your college is $41,600 and if another 42 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 $41,600. If the population population mean salary for graduates from your college is greater than $41,600 and if another 42 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 $41,600. There is a 10% chance that your won't graduate, so what's the point?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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The average salary for American college graduates is $41,600. You suspect that the average is more for graduates from your college. The 42 randomly selected graduates from your college had an average salary of $46,441 and a standard deviation of $12,330. What can be concluded at the  αα = 0.10 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

  1. The test statistic     =  (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      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the population mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600.
    • The data suggest that the sample mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 46,441.
    • The data suggest that the populaton mean is significantly greater than 41,600 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600.
  6. Interpret the p-value in the context of the study.
    • There is a 0.74052846% chance that the population mean salary for graduates from your college is greater than $41,600 .
    •  There is a 0.74052846% chance of a Type I error.
    • If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the sample mean for these 42 graduates from your college surveyed would be greater than $46,441.
    • If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the population mean salary for graduates from your college would be greater than $41,600.
  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 $41,600.
    • If the population mean salary for graduates from your college is $41,600 and if another 42 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 $41,600.
    • If the population population mean salary for graduates from your college is greater than $41,600 and if another 42 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 $41,600.
    • There is a 10% chance that your won't graduate, so what's the point?
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