. The average salary in this city is $46,400. Is the average more for single people? 54 randomly selected single people who were surveyed had an average salary of $48,011 and a standard deviation of $16,440.  What can be concluded at the  αα = 0.05 level of significance?  For this study, we should use     The null and alternative hypotheses would be:       H0:                   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     α

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18. The average salary in this city is $46,400. Is the average more for single people? 54 randomly selected single people who were surveyed had an average salary of $48,011 and a standard deviation of $16,440.  What can be concluded at the  αα = 0.05 level of significance? 

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

 H0:                 

 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     α
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest that the populaton mean is significantly greater than 46,400 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is greater than 46,400.
    • The data suggest that the sample mean is not significantly greater than 46,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is greater than 48,011.
    • The data suggest that the population mean is not significantly greater than 46,400 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean salary for singles is greater than 46,400.
  6. Interpret the p-value in the context of the study.
    • There is a 23.72874789% chance that the population mean salary for singles is greater than $46,400 .
    • If the population mean salary for singles is $46,400 and if another 54 singles are surveyed then there would be a 23.72874789% chance that the sample mean for these 54 singles surveyed would be greater than $48,011.
    •  There is a 23.72874789% chance of a Type I error.
    • If the population mean salary for singles is $46,400 and if another 54 singles are surveyed then there would be a 23.72874789% chance that the population mean salary for singles would be greater than $46,400.
  7. Interpret the level of significance in the context of the study.
    • If the population mean salary for singles is $46,400 and if another 54 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is greater than $46,400.
    • If the population population mean salary for singles is greater than $46,400 and if another 54 singles are surveyed then there would be a 5% chance that we would end up falsely concluding that the population mean salary for singles is equal to $46,400.
    • There is a 5% chance that you won the lottery, so you may not have to even have to worry about passing this class.
    • There is a 5% chance that the population mean salary for singles is greater than $46,400.
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