The average salary in this city is $48,100. Is the average less for single people? 50 randomly selected single people who were surveyed had an average salary of $43,741 and a standard deviation of $16,000.What can be concluded at the= 0.05 level of significance?

a.)For this study, we should use: t-test or z-test

b.)The null and alternative hypotheses would be:

H_{0:_____ ______ _______}

H_1:_____ _____ ______

c.)The test statistic: t or z ___= ______(please show to 3 decimal places

d.)the p value =____

e.)the p-value is ____

f.)Based on this, we shouldeither, fail to reject, reject or accept the null hypothesis?

g.)Thus, the final conclusion is that ...

1.)The data suggest that the populaton mean issignificantlyless than 48,100 at= 0.05, so there is statistically significant evidence to conclude that the population mean salary for singles is less than 48,100.

2.)The data suggest that the sample mean is notsignificantlyless than 48,100 at

= 0.05, so there is statistically insignificant evidence to conclude that the sample mean salary for singles is less than 43,741.

3.)The data suggest that the population mean is notsignificantlyless than 48,100 at= 0.05, so there is statistically insignificant evidence to conclude that the population mean salary for singles is less than 48,100.

h.)Interpret the p-value in the context of the study.

1.)There is a 2.99367541% chance of a Type I error.

2.)There is a 2.99367541% chance that the population mean salary for singles is less than $48,100.

3.)If the population mean salary for singles is $48,100 and if another 50 singles are surveyed then there would be a 2.99367541% chance that the sample mean for these 50 singles surveyed would be less than $43,741.

4.)If the population mean salary for singles is $48,100 and if another 50 singles are surveyed then there would be a 2.99367541% chance that the population mean salary for singles would be less than $48,100.

i.)Interpret the level of significance in the context of the study.

1.)If the population population mean salary for singles is less than $48,100 and if another 50 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 $48,100.

2.)There is a 5% chance that you won the lottery, so you may not have to even have to worry about passing this class.

3.)There is a 5% chance that the population mean salary for singles is less than $48,100.

4.)If the population mean salary for singles is $48,100 and if another 50 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 less than $48,100.