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Suppose you are planning to carry out a z-test, testing: and using an alpha level of .05. The population standard deviation is , and you are using a sample of size n = 36. In this situation, the probability of a Type I error (incorrectly rejecting a true null hypothesis) is 5% (i.e., the same value as the alpha level). Suppose that the actual mean value in the population is , what is the probability of a Type II error (incorrectly accepting a false null hypothesis)?
The study does not give sufficient evidence to support the claim that less than 75% of college students spend less than $250 per semester on textbooks.
A review of voter registration records in a small town yielded the following table of the number of males and females registered as Democrat, Republican, or some other affiliation.
Assume that a 95% confidence interval estimate of the new annual starting salary is desired. How large a sample should be taken if we do not want to exceed $500? What do you know?
Machine X test unit cost $3000 with beta=3 and theta=500, Machine Y test unit cost $2000 with beta=3 and theta=400. If the machines oil fixtures has life of 20 hrs, which machine goes to market first?
Change the last number from 257 to 61 and recalculate the confidence interval. Using the results, describe the effect of an outlier or extreme value on the confidence interval.
Calculate the limits within which the weight of the packets should lie assuming that the machine is not been classified as faulty.
Explain the difference between testing a single mean, testing the difference between two means from an "independent sample" and testing mean differences from a "dependent sample".
Their resting heart rates were measured. A partial ANOVA table is given.
Which statement is true for a statistical study?
At the .05 significance level, is there a difference in gas mileage for the different types of gas? Write out your null and alternative hypotheses for the problem and state what the finding means practically.
Kolzak Appliance has just received a shipment of 10 TV sets. Shortly after they were received, the manufacturer called to report that he had inadvertently shipped 3 defective sets.
Use Bayes's rule to find the conditional probability that Julianne is a carrier, given that she and Jason have one child who does not have cystic fibrosis.
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