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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.
The athletic director claims that the atendance is the same as last year. What is the test value needed to evaluate the claim?
Utilizing the .05 level, do the results support the psychologists' theory. A psychologist theorized where people can hear better when they have just eaten a large meal.
Assume that each of the following studies cannot be analyzed using a parametric procedure. For each of the following studies (below), indicate the appropriate nonparametric procedure, and explain why you chose it.
What is the null and alternative hypothesis? What is your final conclusion?
You take a random sample around town and calculate a p-value for your hypothesis test of 0.0913. What is the appropriate conclusion? Conclude at the 5% level of significance.
With each hypothesis, indicate whether the appropriate analysis would be a one-tailed test or a two-tailed test and indicate a type I and type II error, given the context of the hypothesis.
Suppose that you are conducting a survey of customer satisfaction regarding their cellular phone. If you called 11 households selected at random, what is the probability that:
Construct a 95 percent confidence interval for the true mean.
In an experiment in which a die was rolled 188 times it was counted up how many times each face came up. The results are as follows:
The weight of the first orange minus the weight of the second orange) is a random variable with standard deviation and individual outcomes are uncertain but happen in a predictable manner through time.
The bank wants to find out the waiting time of their customers during the Friday evening hours from 5pm to 8pm. Using the data in ungrouped form, compute the Standard Deviation, using the computational formula.
Suppose that a researcher does a study to see how level of anxiety (A 1 = low, A 2 = medium, A 3 = high) is used to predict exam performance (Y).
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