The average salary in this city is $41,500. Is the average less for single people? 69 randomly selected single people who were surveyed had an average salary of $40,416 and a standard deviation of $9,250. What can be concluded at the = 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 Select an answer > = <

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

1. The test statistic ? t z = (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 fail to reject accept 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.
   • If the population population mean salary for singles is less than $41,500 and if another 69 singles are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean salary for singles is equal to $41,500.
   • There is a 1% chance that you won the lottery, so you may not have to even have to worry about passing this class.
   • There is a 1% chance that the population mean salary for singles is less than $41,500.
   • If the population mean salary for singles is $41,500 and if another 69 singles are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean salary for singles is less than $41,500.

• There is a 16.68686548% chance that the population mean salary for singles is less than $41,500.
• There is a 16.68686548% chance of a Type I error.
• If the population mean salary for singles is $41,500 and if another 69 singles are surveyed then there would be a 16.68686548% chance that the sample mean for these 69 singles surveyed would be less than $40,416.
• If the population mean salary for singles is $41,500 and if another 69 singles are surveyed then there would be a 16.68686548% chance that the population mean salary for singles would be less than $41,500.

• The data suggest that the populaton mean is significantly less than 41,500 at = 0.01, so there is statistically significant evidence to conclude that the population mean salary for singles is less than 41,500.
• The data suggest that the population mean is not significantly less than 41,500 at = 0.01, so there is statistically insignificant evidence to conclude that the population mean salary for singles is less than 41,500.
• The data suggest that the sample mean is not significantly less than 41,500 at = 0.01, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is less than 40,416.