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la) Construct a 95% confidence interval given: X = 20 n =36 0=3 1b) Construct a 97% confidence Interval for the above data 1c) Explain how and why the two intervals are different 2) State and explain all assumptions and caveats needed for using z- intervals and t - intervals for one population mean 3) Increasing the sample size results in (choose the correct answer) a) Margin of error increase b) Margin of error decrease c) Narrower confidence interval d) Wider confidence interval e) More precise estimate f) Less precise estimate 4) Increasing confidence level results in a) Margin of error increase b) Margin of error decrease c) Narrower confidence interval d) Wider confidence interval e) More precise estimate f) Less precise estimate5) What is the meaning of a 95% Confidence Interval for a Population Mean? 6) The recommended adequate intake (RAI) of calcium per adults is 1000 milligrams per day. Random sample of 18 adults with incomes below the poverty level gave the following calcium intakes 886, 633, 943, 847, 934, 841 1193, 820, 774, 834, 1050,1058 1192, 975, 1313, 872, 1079, 809 Construct and interpret a 95% confidence interval for the mean calcium intake for adults with incomes below the poverty level. Assume the population standard deviation is 188 milligrams 7) Construct 95% confidence interval given: X =20 n =36 $ =3 8) Construct 90% Confidence Interval given Ex =58 Ex' =336 n =12