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The famous Urn contains 11 red beads and 8 black beads. If 7 beads are drawn without replacement, what is the probability that 5 of them are red?
A population has a mean = 80, with standard deviation = 8. The distribution of sample means for samples of size n = 4 selected from this population would have an expected value of?
For the following independent random samples, use the z-test and the 0.01 level of significance in testing Ho:u1 = u2 versus H1:u1 = u2.
Washing machines leaving the factory that are defective. Obtain a sample size that will ensure a margin of error of at most 0.014 for a 97% confidence interval.
A researcher was interested in the emotional effects of music on exam performance. Before their exam, a professor took one group of students into a room in which calming music was played.
Findout the normal model for the given proportions. The professor has every student toss a coin 50 times also calculated the proportion
Using your answers to the earlier parts of this question, explain how the sample size affects the mean and SD of the sum of a collection of random variables. Limit your answer to 2-3 sentences.
An exam consists of 10 true or false questions. If a student guesses at every answer, what is the probability that he or she will answer exactly six questions correctly? (Round the answer to three decimal places)
1. Chebyshev's vs. the empirical theorem/rule.
Discuss whether this variable should be placed in the model as an ordinary quantitative variable or by means of four 0, 1 indicator variables.
Explain how you can use both T tests in your profession? Restate the research question into a null hypothesis: Does a memory-enhancing drug have an effect on the ability of a group of Alzheimer's patients.
A standard IQ test has mean of 98 and a standard deviation of 16. We want to be 99% certain that we are 8 IQ points of the true mean. Determine the sample size.
Will the sum of squared deviation scores be greater for the test or the exam (assume the same number of people sat both the test and the exam)? Why?
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