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    Correct The null and alternative hypotheses would be:       H0:H0:          H1:H1:      The test statistic    (please show your answer to 3 decimal places.

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    Correct
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     
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.