1) A certain amount of natural gas is produced with each barrel of crude oil. This...

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1) A certain amount of natural gas is produced with each barrel of crude oil. This gas escapes from the oil near the top of the well pipe. In an attempt to estimate the total amount of natural gas available from wells these data are obtained on X, the number of cubic feet of gas obtained per barrel of crude oil: 605 610 600 410 530 485 (Assume that the original distribution is Normal and you can use sample standard deviation ("s") for estimating population standard deviation) a) Find a 99% confidence interval for the average (mean) volume of natural gas produced per barrel of crude oil by wells. b) Do you expect to have a shorter or a longer confidence interval when the confidence level (1-a) is reduced? Verify your answer by finding a 96% confidence interval. c) Find a 95% upper confidence interval for the average volume of natural gas produced per barrel of crude oil by these wells. 280 410 400 765 330 620 650 510 560 690 660 550 500 480 385 1) A certain amount of natural gas is produced with each barrel of crude oil. This gas escapes from the oil near the top of the well pipe. In an attempt to estimate the total amount of natural gas available from wells these data are obtained on X, the number of cubic feet of gas obtained per barrel of crude oil: 605 610 600 410 530 485 (Assume that the original distribution is Normal and you can use sample standard deviation ("s") for estimating population standard deviation) a) Find a 99% confidence interval for the average (mean) volume of natural gas produced per barrel of crude oil by wells. b) Do you expect to have a shorter or a longer confidence interval when the confidence level (1-a) is reduced? Verify your answer by finding a 96% confidence interval. c) Find a 95% upper confidence interval for the average volume of natural gas produced per barrel of crude oil by these wells. 280 410 400 765 330 620 650 510 560 690 660 550 500 480 385