Question

D Question 3 2 pts After collecting a random sample of 101 individuals living in Arizona, you find that the average income is $67,886. Using this sample, you determine that the 95% confidence interval for the sample mean is (61 881 73,891). Which of the following statements is correct? There is a 95% chance that the average income for the population of Arizona falls between $61,881 and S73,891 About 95% of the Arizona population have an income between $61,881 and $73,891. About 95% of the 100 people sampled have an income between $61,881 and $73,891 There is a 95% chance that our sample mean falls between $61.881 and $73,891. Question 4 2 pts After collecting a random sample of 101 individuals living in Antzona, you determine that the 95% confidence interval for the mean income is (58,656, 72,119). What was the standard deviation of income for the sample? Hint you'll need to find the critical value fort using a t-table e Round your answer to four decimal places Question 5 2 pts Suppose we gather the following sample:

Answer 1

3) Answer: There is a 95% chance that the average income for the population of Arizona falls between $61881 and $73891. 4) From the 95% confidence interval we can write 3- = 58656 ----- # + ta = 72119 ----- ----(1) ----(2) From equation (1) and (2) we can write x-te =58656 +8+ teen=72119 ----------------------- =130775 X =130775/2 X = 65387.5

Putting this value in equation (1) 65387.5 - te = 58656 65387.5 - 58656=te to = 6731.5 s = 6731.5 * vn s= 6731.5 * 1.984 101 Standard deviation (S) = 34098.1541