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An unemployment counselor found that in a sample of 100 unemployed workers, 65% were not interested in returning to work. Find the 95% confidence interval of the true proportion of workers who do not wish to return to work.
A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. Is there evidence of an improvement on the final?
The mean SAT verbal score is 478, with a standard deviation of 98. Use the Empirical Rule to determine what percent of the scores lie between 380 and 478. (Assume the data set has a bell-shaped distribution)
On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
Predict the final average of a student who made an 83 on the first test. Give the value of r and r squared for this model. Interpret the value of r squared in the context of this problem.
You may assume the sample data comes from a population that follows a normal distribution.
Suppose that it is a presidential election year and Ohio is one of the 'swing' states. Your polling company wants to conduct a presidential preference poll of the citizens of Ohio to predict which candidate will win the election.
A physician wanted to estimate the mean length of time µ that a patient had to wait to see him after arriving at the office.
A corporate CEO reviews the earnings of three divisions over the last eighteen months. Each division reports its earnings quarterly.
What is the maximum likelihood estimate of μ? What is an approximate standard error of the maximum likelihood estimate?
In a batch of 8,000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8,000 and tested.
A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF.
A sample of 4 different calculators is randomly selected from a group containing 42 that are defective and 27 that have no defects. what is the probability that all four of the calculators selected are defective?
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