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Lazurus Steel Corporation produces iron rods that are supposed to be 30 inches long. The machine that makes these rods does not produce each rod exactly 30 inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly, the mean length of the rods made on this machine is 30 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.2 inch. The quality control department takes a sample of 20 such rods every week, calculates the mean length of these rods, and makes a 99% confidence interval for the population mean. If either the upper limit of this confidence interval is greater than 30.10 inches or the lower limit of this confidence interval is less than 29.9 inches, the machine is stopped and adjusted. A recent sample of 20 rods produced a mean length of 30.03 inches. Based on this sample, will you conclude that the machine needs an adjustment? Assume that the lengths of all such rods have a normal distribution.
Round your answers to two decimal places.
The confidence interval is
inches.
What is a multiple baseline design? Why is it used? Distinguish between multiple baseline designs across subjects, across behaviors, and across situations.
The sample mean has been calculated as 240.0. Construct and interpret the 90% and 95% confidence intervals for the population mean.
What are the two types of errors that are can be obtained during a statistics testing of the hypothesis?
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Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. Find the probability function for Y .
a at a local car dealership the probability of a salesman making a car sale to a customer is 0.4. the probability
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Problem: A university would like to estimate the proportion of fans that purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3,600 and is routinely sold out.
Also, Y1 Y2, . . . , Yn , representing yields for corn variety B, constitute a random sample from a normal distribution with mean μ2 and variance σ2. If the X's and Y 's are independent, find the MLE for the common variance σ2. Assume that μ1 and ..
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