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What happens to the standard deviation of the distribution of sample means (DSM) as the sample size increases? Does the standard deviation of the DSM also increase? Why or why not? Explain.
An initial work sampling survey to estimate the percentage of time that MRI equipment is idle between 8:00 A.M. and 8:00 P.M., found that the MRI was idle in 9 of the 120 observations.
Consider a society concerned about crime. A measure of success could be the number of crimes of various types that occur in a given year. What else should we measure?
Compute the value of the appropriate test statistic.
This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a s
Suppose the unemployment rate in one country exceeds the rate in another country. Explain why the country with the lower rate can have, from the perspective of the other country, a higher unemployme
A coin with a probability p of heads is tossed independently n times. Let Xi=1 if the ith toss results in a head, and let Xi = 0 if the ith toss is a tail. What is E(X1X2X3.......Xn)?
Suppose the average number of lions seen on a day one tour in a safari park is 5, what is the probability that on a particular day tourist will see frwer than 4 lions?
Airlines use a measure of meeting the schedule when they focus on-time departure. Suppose they record whether the event "left the gate within 5 minutes of schedule" to reflect that they met the sche
All the major stock market indexes posted heavy losses in 2008. The mean one-year return for stocks in the S&P 500, a group of very large companies, was -38.5%.
Distribution of systolic and diastolic blood pressure for female diabetes between the ages of 30 and 34 have unknown means. The standard deviation are s=11.8mm Hg and d= 9.1mm Hg respectively [8].
A die is rolled and the square of the number of dots is recorded as the random variable X (for example, a roll of 3 results in X=9). Find the expected value and standard deviation of the random vari
Suppose an experiment consists of tossing a fair coin until a three heads occur. What is the probability that the experiment ends after exactly six flips of the coin with a head on the fifth toss as
Calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent governor
A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses on each question, what is the probability that the student wil
Suppose that Y is a binomial random variable based on n trials and success probability p. Use the conjugate beta prior with parameters a and b to derive the posterior distribution of p|y.
Estimate the percentage of Germans who are at least 30 years old, but not yet 40 years old. It may help to construct a histogram of the data.
At the 0.05 level of significance, is there sufficient evidence to conclude that a difference exists between the proportions of students who were absent due to contracting the flu at the schools?
Can ANOVA be used to test proposed relationships or predicted correlations between variables in a single group? Provide a rationale for your answer.
Determine the odds of dealing yourself a blackjack (ace + face-card or ten) from a single deck. Show how you arrived at your answer. If you are not sure, post an idea to get us started!
Use the CLT in order to find an approximate value for the probability that the total lifetime of 50 tubes will exceed 80,000 hours.
A researcher plans to compare two treatment conditions by measuring one sample in treatment 1 and a second in treatment 2. The researcher will then compare the scores for the two treatments. If ther
Determine the required value of the missing probability to make the distribution a discrete probability distribution.
Determine the sampling distribution of the sample variance S2, calculate E(S2), and compare to σ2.