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A quality control supervisor in a Coca-Cola cannery knows that the exact amount each can contains will vary, since there are certain uncontrollable factors that affect the amount of fill. The mean fill per can is important, but equally important is the variance of the fill. If σ2 is large, some cans will contain too little and others too much. suppose regulatory agencies specify that the standard deviation of the amount of fill in 16-ounce cans of Coca-Cola should be less than 0.1 ounce. To determine whether the process in meeting this specification, the supervisor randomly selects 10 cans and weighs the contents of each. The results are given below:
Fill Weights (ounces) of 10 Cans of Coca-Cola16.00 15.95 16.10 16.02 15.90 16.06 16.04 16.05 16.03 16.02Is there sufficient evidence to conclude that the true standard deviation σ of the fill measurements of 16-ounce cans is less than 0.1 ounce?a. Test the hypothesis H0: σ = 0.1 (fill specifications are met) against Ha: σ < 0.1 (fill specifications are not met), at α = 0.05.b. Calculate the 95% confidence interval for the population mean.c. What minimum sample size would be required if the power of the test were to be 0.99?d. Determine the power of the original test.
Based on these results a confidence interval extending from 5.96 to 6.16 was calculated for the population mean. Find the confidence level of this interval.
One more box is tested, and if that passes, all bulbs made that day will pass. Find probability that first box fails and second box passes.
Develop a 90 percent confidence interval for the proportion opposing health care changes. (Round your answers to 4 decimal places.)
The probability that a bomber hits its target on any particular mission is 0.80. Four bombers are sent after the same target. What is the probability: they all hit the target?
The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage?
About one-third of the students entering a certain university drop out during or at the end of their first year." Does this statement illustrate percentage, proportion or probability?
Carry out t test and find out whether or not demand and unit price are related. Let a=.05. Carry out an F test and find out whether or not demand and unit price are related.
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is:
Find the 99% confidence interval for the population proportion.
A random check of 81 records of inmates from all federal prisons found the confidence interval for mean prison terms per prisoner to be 2.113 years to 2.287 years.
Use the Rare Event Rule. Does the evidence support the claim?
Twelve doctor's offices were given 3 lab inspections with the following results:
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