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Confidence interval for the variance and standard deviation

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Reference no: EM13245244

Part -1:

1) Using table G, find the values for CHI-square left and right if alpha = 0.01 and n = 23.

2) Find the 90% confidence interval for the variance and standard deviation if a sample of 15 has a standard deviation of 2.3. Assume the variable is normally distributed.

3) Find the 95% confidence interval for the variance and standard deviation of the ounces of Mike's hard cider that a machine dispenses in 12 ounce cups. Assume the variable is normally distributed. The raw data are: 12.3, 12.1, 12.2, 11.8, 12.0, 12.5, 11.7, and 11.9.

Part -2:

1) The average production of peanuts in W. Virginia is 3000 pounds per acre. A new plant food is test on 60 acres and the mean yield is 3120 pounds per acre for these plots with a standard deviation of 578 pounds. At Alpha = 0.05, can one conclude that the average production has increased with the new food?

2) A researcher claims that the yearly consumption of soft drinks is 52 gallons per person. In a sample of 50 randomly selected folks who drink soft drinks, the mean was 56.3 gallons and the standard deviation was 3.5 gallons. At Alpha = .01, is the researcher's claim valid?

Reference no: EM13245244

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