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Imagine the two researchers independently carry out clinical trials to test the same null hypothesis, that COX-2 selective inhibitors (which are used to treat arthritis ) have no affect on the risk of cardiac arrest. They use the same population for their study, but one experimenter uses a sample size of 60 subjects, whereas the other uses a sample size of 100. Assume that all other aspects of the studies, including significance levels, are the same between the two studies.
a) Which study has the higher probability of a Type II error, the 60-subject study or the 100 -subject study?b) Which study has higher power?c) Which study has the higher probability of Type I error?d) Should the tests be one-tailed or two-tailed? Explain?
Choose the proper conclusion regarding the claim that the population have different variances.
The average burglary rate for a particular jurisdiction has been 311 per year with a standard deviation of 50. What is the likelihood that the number of burglaries in the next year is between 250 and 300?
Suppose the weight of a product is normally distributed with a mean of 1.5 and a variance of 0.2. What percentage of products will have weights within +/- 3 standard deviations? Critically discuss the lower and upper limits bounding 50% of product we..
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as manufacturers of cellular phones
Suppose that your company manufactures computer equipment and you must determine if a supplier of your company meets the required product specifications.
The project requires you forecast the historical data, replicating the appropriate trends, seasonalities, week-over-week variability, etc. Please refer to the chapter and materials on Forecasting for the procedures to do.
State the decision rule, compute the pooled estimate of the population variance, compute the test statistic, and state your decision about the null hypothesis and estimate the p-value.
Construct a 95 percent confidence interval for the population proportion of positive drug tests. May you assume that this is a normal distribution? Explain why.
Evaluate and discuss the following hypothesis based on what you have learned about hypothesis statements. Should they be written differently, or are the sufficient the way they are stated?
ACME Lumber Company selects a random sample of 36 customers. Customers are rated on their annual spend at ACME Lumber Stores.
Calculate correlation coefficient for these sample data.
How large should n be so that a 90% confidence interval for µ has a margin of error and What is the P-value for a test of the hypotheses
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