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An important manufacturing process produces cylindrical component parts for the automotive industry. It is important that the process produce parts having a mean of 5 millimeters. The engineer involved conjectures that the population mean is 5.0 millimeters. An experiment is conducted in which 100 parts produced by the process are selected randomly and the diameter measured on each.
It is known that the population standard deviation SIGMA = 0.1. The experiment indicates a sample average diameter x BAR = 5.027 millimeters. Does this sample information appear to support or refute the engineer's conjecture?
What is the probability that the next 100 customers will spend an average of less than $56 on dinner?
Graph inequality. Using the test point method.
Show that theta~ = u(X) is an unbiased estimator of theta, where u(0) = 1 and u(x) = 0 if x =1,2, ... Compare the MSEs of theta(hat) and theta~ for estimating theta = e^(-m) when m=1 and m=2
Do the thinner cans appear to be strong enough so that they are not crushed when the top lids are pressed onto the sides?
What is an interaction? Describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions?
Standard deviation of this poll is 4%. What would be standard deviation if sample size were increased from 83 to 190?
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent.
At α = 0.10 test the claim that there is a difference in means of the salaries. (a) State the Hypotheses: (b) Compute the Test statistic: (Round off correctly)
What is the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83? compute the probability of charges less than $54.
The fill amount of bottle of soft drink has been found normally distribute with a mean of 2.0 liters and a standard deviation of 0.05 liters. If a random sample of bottles is selected, what is the probability that the sample mean will be between 1..
Calculate the standard error. With 95% confidence, find out the margin of error?
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