Mean and standard deviation of a sampling distribution
A population has a mean 72 and standard deviation 12. Find the mean and standard deviation of a sampling distribution of a sample means with sample size n 36.
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A 8-sided die is rolled twice. Let X be the sum of the two rolls, Y be the first minus the second, and Z be the 4 times the first, minus the second.
Does x have a binomial distribution or a hypergeometric distribution? Support your answer. Find the probability that three internship-trained candidates are hired for these positions.
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.29 hours, with a standard deviation of 2.29 hours.
Determine the t critical value for a two-sided confidence interval in each of the following situations. (Round your answers to three decimal places.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x*, is found to be 111, and the sample standard deviation, s, is found to be 10.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Suppose a simple random sample of size n=49 is obtained from a population with u=71 and o=21. Describe the sampling distribution of x. (Distribution skewed right, left, normal, uniform, unknown, normal)
Because the TA distribution is based on hundreds of students, we are willing to regard it as a fixed probability distribution. If the professor's grading follows this distribution, what are the expected counts of each grade in his section?
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