The home ownership rate during 2009 declined to approximately 67%, becoming comparable to the rate in early 2000 (U.S. Census Bureau News, February 2, 2010). A random sample of 80 households is taken from a small island community with 1,000 households. The home ownership rate on the island is equivalent to the national home ownership rate of 67%. a) Calculate the expected value and the standard error for the sampling distribution of the sample proportion. Is it necessary to apply the finite population correction factor? Explain. b) What is the probability that the sample proportion is within 0.02 of the population proportion?
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What is statistical quality control.?
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WHAT IS THE CONTROL CHART?
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A firm that produces one-gallon jugs of milk wants to ensure that the machine is operating properly. Every two hours, the company samples 25 jugs and calculates the following sample mean filling weights (in ounces): x ̅1 = 128.7 x ̅2 = 128.4 x ̅3= 128.0 x ̅4 = 127.8 x ̅5= 127.5 x ̅6 = 126.9 Assume that when the machine is operating properly, μ = 128 and σ = 2, and that filling weights follow the normal distribution. Can the firm conclude that the machine is operating properly? Should the firm have any concerns with respect to this machine?