Question

The average salary in this city is $47,200. Is the average less for single people? 50 randomly selected single people who were surveyed had an average salary of $44,862 and a standard deviation of $7,020. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: HO: Select an answer 3 H: Select an answer C. The test statistict (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly less than 47,200 at a = 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is less than 47 200

Answer 1

na 50 X=44862 d=0:05 S-7020 M=47200 a.) for this study, we should use t-test for a population mean b.) The null and alternative hypothesis are:- Ho: M=47200 Hail < 47200 (Left tailed test) Test statistica X-M 44862-47200 si ju t 7020/550 ta -2.355 [dt En-1=50-1= =49] d) P-value = P(t<ttest) = P(t<-8-355) (using t-table) Pevalue=loool13 The P-value ka

f. Based on this, we should Reject the hull hypothesis g.) Conclusions The data suggest that the population mean is significantly less than 47200 at 2=0.05, so there is statistically significant evidence to conclude that the bopulation mean salary is less than 47200. h option A- if the population mean Salary for singles is 47,200 and if another 50 singles are surveyed them there would be a 1/2912656% Chance that the population mean Salary for singles would be less than $47,200 i) option A- if the population mean Salary for singles is 47,200 and if another 50 singles are surveyed then there would bea 5% Chance that we would end up faisely concluding that the population mean salary for singles is less than $ 47,200.