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Are women more flexible than men? To answer this question, a physical therapist measured the flexibility of 15 randomly selected women and 20 randomly selected men by determining the number of inches subjects could reach while sitting on the floor with their legs straight out and back perpendicular to the ground. The more flexible an individual is, the more they can reach from the seated position. The physical therapist obtained the following data:
Gender Sample Size Mean (in inches) SD (in inches)
Women 15 20.86 2.11
Men 20 18.43 3.16
Assume that both population distributions are approximately normal and that the population variances are NOT equal.
a. Is the sampling dependent or independent in this study? Justify your answer.
b. Test the hypothesis at α = 0.05. Using the critical value approach, include all key steps of test of hypothesis.
The standard errors of the slopes of the dummy variables in Table 4 are all the same (80.57) and less than the common standard error of the interactions (113.94). Why is that?
a coin is flipped. if a heads is flipped then the coin is flipped 2 more times and the number of heads flipped is noted
an article in the washington post stated that nearly 45 of the u.s. population is born with brown eyes although they
Mean weekly computer usage time of 8.5 hours and that from prior studies, the population standard deviation is assumed to be σ = 3.6 hours. Based on this information, what would be the point estimate for μ?
Choose the appropriate alternative hypothesis. All population proportions differ from 0.25.Not all population proportions are equal to 0.25.
(a) De?ne an appropriate Markov chain to analyze this model. (b) Show that this Markov chain is time reversible. (c) Find the long-run probabilities.
golfweek reported in 2003 that the driving distance for the top 100 golfers on the pga tour is between 287.7 and 310.6
Suppose that a test for opium use has a 2% false positive rate and a 5% false negative rate. That is, 2% of people who do not use 5% of opium users test.
Contact a testing laboratory and ask them about their procedures for reducing bias in the measurements they produce. Give a brief report to the class.
A bank manager recorded the number of hours taken to accomplish a particular task. He got the data below. Hours:10, 11, 12, 13, 14, 15, 16, 17, 18. Number of Employees: 2, 4, 6, 8, 10, 12, 14, 16, 18. Find the coefficient of correlation(r).
A recent research report shows that the percentage of college students who have been reported for plagiarizing has reached 30% each in the colleges of Education, Arts and Sciences, and Business, but only 10% in the School of Law.
the time it takes alice to walk to the bus stop from her home is normally distributed with mean 13 minutes and variance
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