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Please show work and provide excel formulas for plots so that I can understand how to do the assignment. The density function of a continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is described by the following probability density function: a. Plot the PDF and CDF between the values of 0 < x < 2 b. What is the average (mean) number of hours per year that families run their vacuum cleaners c. Find the 60th percentile number of hours per year that families run their vacuum cleaners d. Find the probability that families run their vacuum cleaners between 50 and 120 hours per year.
Suppose that you selected 50 samples of households. What is the expected shape of the distribution of the sample mean? What is the likelihood of selecting a sample with a mean of at least $112,000?
Describes the selected research issue, problem, or opportunity.
Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcoxon rank-sum test, evaluate the significance of the results, assuming there are no ties.
Shows a sample mean of 1,261 with a standard deviation of 59. Should Pennsylvania adopt the new system for all toll roads in the state?
Suppose we select a sample of 16 cuts from various CDs sold by CRA CDs, Inc. What can we say about the shape of the distribution of the sample mean?
You will be graded on accuracy, completeness (addressing each point above), and effectiveness (utility, ease of reading).
An elevator starts at the basement with 8 people (not including the elevator operator) and discharges them all by the time it reaches the top floor, number 6.
Compare and contrast the similarities and differences between the two scores and explain when and why you would use each.
From National Weather Service records, the annual snowfall in the TopKick Mountains has a mean of 92 inches and a standard deviation ? of 12 inches.
what is the required sample size is the error is to be less than 1/2 hour with a 95% level of confidence?
Five percent of the respondents gave $25,000 or more to charity over the previous year. Develop a 95% confidence interval for the proportion who gave $25,000 or more to charity.
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