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About 42,000 high school students took the AP Statistics exam in 2001. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). A random sample of 25 student papers yielded the following scores on one of the free-response questions:
1 0 1 0 0 0 3 1 1 1 0 2 0 0 2 1 1 0 2 4 1 0 2 0 3
1. Is a sample of 25 papers large enough to provide a good estimate of the mean score of all 42,000 students on this exam problem? Justify your answer.
A researcher claims that the average age of people who buy lottery tickets is 70. A sample of 30 is selected and their ages are recorded as shown below.
An investigator wants to estimate caffeine consumption in high school students. How many students would be required to ensure that 95% confidence interval estimate for the mean caffeine intake (measured in mg) is within 15 units of the true mean? ..
Wildlife Hummingbirds Selasphorus sasin is the scientific name for what is commonly called "Allen Hummingbird" This beautiful hummingbird lives on the west coast of the United States and is named C.A. Allen
If you select a random sample of 100 voters, what is the probability that a candidate will be forecast as the winner when. The true percentage of her vote is 50.1%?
The simple random sample is n = 14, σ = 12.5 and the original population is normally distributed.
Establish an approximate design to MTBF required for a system that will result in an approximate minimum total cost over a five year period if the system is to be operated 7500 hours per year
How many samples would be needed to create a 99 percent confidence interval that is within 0.02 of true proportion of premium grade fuel-quality failures.
A group of employees at a large factory was asked to indicate their preference for one of two pension schemes. The table below gives the responses of three different categories of employees at the factory.
Your company produces a product in a market that has grown by 10% per year for the past 15 years. According to your estimate, the market is currently at 30% of saturation. Predict sales for the next 20 years.
Which samples show unequal variances? Use α = .05 in all tests. Show the critical values and degrees of freedom clearly and illustrate the decision rule.
The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day,
Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected.
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