Working at Home Workers with a formal arrangement with their employer to be paid for time worked at home, worked an average of 19 hours per week. A random sample of 12 mortgage brokers indicated that...



Working at Home Workers with a formal arrangement with their employer to be paid for time worked at home, worked an average of



19


 hours per week. A random sample of



12


 mortgage brokers indicated that they worked a mean of



24.9


 hours per week with a standard deviation of



6.5


 hours. At



=α0.02


, is there sufficient evidence to conclude a difference? Construct a



98%


 confidence interval for the true mean number of paid working hours at home. Compare the results of your confidence interval to the conclusion of your hypothesis test and discuss the implications.


(a) State the hypothesis and identify the claim with the correct hypothesis.











H0:  ▼(Choose one)


H1:  ▼(Choose one)


This hypothesis test is a ▼(Choose one) test.













(b)Find the critical value(s). Round the answer to 3decimal places, if necessary. If there ismore than one critical value,


Critical values:


(c)Compute the test value. Round the answer to at least 3
 decimal places, if necessary.

t=



(d)Make the decision.

What's the null hypothesis?


(e)Summarize the results.








There ▼(Choose one) enough evidence to support the claim that there is ▼(Choose one) from the stated average of 19 hours per week.










Construct a 98%  confidence interval for the true mean number of paid working hours at home. Round the answer to one decimal place.



Compare the results of your confidence interval to the conclusion of your hypothesis test and discuss the implications.










Because the mean ▼(Choose one) in the interval, there is ▼(Choose one) to support the claim that ▼(Choose one) exists.













Jun 03, 2022
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