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The Bureau of Labor Statistics reported that the average annual income of dentists in the year 2005 was $110,000. A sample of 81 dentists, which was taken in 2006, showed an average annual income of $115,000. Assume the standard deviation of the population of dentists in 2006 is $36,000.
a). Suppose you want to test whether there has been a significant increase in the average annualincome of the dentists. List your null and alternative hypotheses below:
b). Calculate the test statistic, determine the p-value, and at ± = 0.05 significance level, test the hypotheses and draw your conclusion. [You MUST use the p-value approach.]
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How large a sample should be taken if the desired margin of error E is:
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Researcher is interested in testing whether there are differences in mean between population one and population two.
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A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level.
Use either Linear Programming module or Transportation module of Cd to minimize the shipping costs involved in move.
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