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A small New England college has a total of 400 students.The Math SAT is required for admission, and the mean score of all 400 students is 620.The population standard deviation is found to be 60. The formula for a 95% confidence interval yields the interval 640 ± 5.88. Determine whether each of the following statements is true or false.
If we repeated this procedure many, many times, only 5 percent of the 95 percent confidence intervals would fail to include the mean Math SAT score of the population of all students at this college.
the population mean of monthly wages of all college graduates under age of 30. Interpret your answer in the context of the problem.
Cores on two tests have a bivariate normal distribution; and that correlation of 2 scores is 0.8. Determine the probability that sum of the student's scores on 2 tests will be greater than 200?
Compute z values for each and comment on your findings.
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
Perform the trend analysis of Pf with incrementally increasing number of the simulation cycles, and calculate the statistical uncertainty in the estimate expressed as the coefficient of variation.
Given 7 male individuals in a Physical Education course, the number of sit ups each individual can do in a one minute period was recorded:
Explain your answer to someone who is familiar with the t test for a single sample, but not with the t test for independent means.
If it is determined that there is no difference between the population mean being represented by the sample and the mean of the population at large, then:
Describe the independent variable and the dependent variables?
Create the indicated confidence interval for population mean µ using a t- distribution.
Start rolling dice until a particular number, say 3, is obtained, and keep track of how many rolls are necessary. Repeat 100 times. Then find the average.
Among 500 freshmen pursuing a business degree at a university, 347 are enrolled in an economics course, 204 are enrolled in a mathematics course, and 160 are enrolled in both an economics and a mathematics course.
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