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The Bureau of Labor Statistics reported that the average yearly income of dentists in the year 2014 was $116,000. Dr. Smith thinks there has been a significant increase in the average yearly income of dentists. He has a dataset of a sample of 81 dentists, which was taken in 2015, showed an average yearly income of $123,800. Assume the standard deviation of the population of dentists in 2015 is $36,000. Please answer the following questions:
(a) Develop appropriate null and alternative hypotheses such that rejection of H0 will support Dr. Smith's argument.
(b) Compute the test statistic.
(c) Determine the p-value; and at 95% confidence, test the hypotheses.
Calculate P(X . What is the probability that X will exceed 0.5? Given that X > 0.5, what is the probability that X will be less than0.75?
Develop the objective function
Adult male heights X have N(70", 3.3") a.) What percent of adult males are shorter than 63"?
Reggie Miller of the Indiana Pacers is the National Basketball Association's best career free throw shooter, making 89% of his shots. Assume that late in a basketball game, Reggie Miller is fouled and is awarded two shots.
Is there sufficient evidence to conclude that the mean number of transactions per customer is more than 10 per month? Could the advertising agency say the mean is more than 9 per month?
The data provided in http://www.wiky.corn/college/ashenfelter contain information on the un-employment rate (monthly and seasonally adjusted) from 1951 through.
Use the definitional formula given below to find the derivative of the function.
Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI.
the probability density function of the net weight in ounces of a packaged compound is fx x40 for 19ltxlt21 ounces and
a survey revealed the amount of pocket money held by each student in a sample of students. the amounts in dollars are
Assuming this is true, determine the expected spread in the number (i.e., mean ± 1 standard deviation) of home buyers (from sample of 20 home buyers) that will do some remodeling to their home within the first 5 years of home ownership.
Here are the questions: Solve the differential equations by separation of variables.
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