The average salary in this city is $46,500 and the standard deviation is $18,400. Is the average different for single people? 38 randomly selected single people who were surveyed had an average salary of $41,200. What can be concluded at the 0.05 level of significance?

H₀:= 46500

H_a: 46500

Test statistic:

p-Value =

Conclusion: There is "statistically insignificant" or signifcant? evidence to make the conclusion that the population mean salary of single people is not equal to $46,500.

p-Value Interpretation:If the mean salary of single people is equal to $ [ Select ] ["43,900", "45,100", "41,200", "46,500"] and if another study was done with a new randomly selected collection of 38 single people, then there is a [ Select ] ["4", "8", "5", "16", "2"] percent chance that the average salary for this new sample would be less than $ [ Select ] ["41,200", "46,500", "43,900", "45,100"] or more than $ [ Select ] ["49,900", "48,200", "46,500", "51,800"] .

Level of significance interpretation: If the mean salary for single people is equal to [ Select ] ["45,100", "43,900", "41,200", "46,500"] and ifa new study were done with a new randomly selected collection of 38 single people then there would be a [ Select ] ["8", "50", "4", "16", "5"] percentchance that this new studywould result in the false conclusion that the mean salary of single people is not equal to $46,500.