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The Non-Profit Times conducted a random sample of 126 U.S. non-profit companies at the beginning of 2005. The results reported that the average salary of an executive director of a nonprofit was $92,411 per year with a sample standard deviation of $25,326. A research team from a competing newspaper, which was skeptical of these results, conducted a survey of its own with the same size sample of companies and obtained a mean salary of $87,566 for executive directors (with approx. the same standard deviation as the non-profit times sample).
1) Set up the appropriate null and alternative hypothesis for testing whether the original sample overestimated the average executive director annual salary.
2) Now test the competing newspaper's view that the original sample overestimated the average executive director annual salary. Use an estimation (total) error of 5 percent.
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000.
A recent election return indicated that 55% voted for a proposal, 40% voted against it, and 5% abstained. What is the probability that a voter either abstained or voted against the proposal?
The local municipality claims that since the percentage of intersections that had an accident last year decreased from the prior year, the city is now safer. What are the hypotheses for this situation? Is the city really safer?
If average size in square feet of homes built is 1810, determine maximum and minimum sizes of homes contractor must build. Suppose that standard deviations are 92 square feet.
An infestation of a certain species of caterpillar called the spruce budworm can cause extensive damage to the timberlands of the northern United States. It is known that an outbreak of this type of infestation occurs, on the average, every 30 yea..
If we are dealing with non-normal data we use Chebychev's Theorem. While not as precise, it does provide some level of utility. If we use Chebychev
We can compare two sample means to determine if the samples were obtained from normal populations with the same mean using the "t" distribution.
What is the advantage of a randomized experiment in which the investigators randomly assign treatment conditions to subject over an observational study in which the subject self-select the treatment groups?
if 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35lb tensile strength? How many would have a tensile strength in excess of 48lb?
Make use of normal probability distribution features of EXCEL to help determine the probability.
The auto parts department of an automotive dealership sends out an average of 8 special orders daily. The number of special orders is assumed to follow a Poisson distribution.
A random variable has a standard deviation of 16, and an unknown mean. Find the lowest size of a simple random sample so that the sample mean estimates the population mean with a standard error no larger than 0.25.
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