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Using one-sample hypothesis testing.
In a high school, Mark's class took the admission test for business school and averaged 83.4. For all the 10 classes taking the same test, their scores are (including Mark's): 78.2, 90.5, 89.6, 80.1, 75.4, 83.4, 81.7, 92.6, 93.8, 85.9. How did Mark's class do in the admission test? There are 25 students in Mark's class taking the admission test, and here we assume that the average test scores of all the 10 classes follow a normal distribution.
A stock has had returns of 17.82 percent, 12.42 percent, 6.51 percent, 28.18 percent, and -14.04 percent over the past five years, respectively.
There is a virus spreading across the population of a country. There are no obvious symptoms, so it is not possible to determine if someone is a carrier unless they are given a blood test. Medical officials want to study an individual who is carry..
Assume that we randomly select 12 teachers who have recently left their profession. Find the probability that at least 4 of them were laid off.
Generate another set of data from the same address list, this time with a 30% item nonresponse rate. (The nonresponse parameters are 0, .3, 0.)
What is the probability that a professional (selected at random) would accept the promotion? Reject it? What is the probability that a professional (selected at random) is part of a twocareer marriage? A one-career marriage?
When the machine is either out of control or down, a repair person must be called. What is the probability that a repair person must be called right now?
Write an appropriate hypothesis.- Check the assumptions and conditions.- Find the P-value of the test.- What do you conclude about the magnesium sulfide treatment?
The size of the sample used is 120 guests and the resort desires a precision of plus or minus .5 nights. What is the standard error of the mean in the lakefront resort example? Within what range below can the resort expect with 95% confidence for ..
Failed items are not replaced. Estimate the mean life and the failure rate of the relays. Find a 95% confidence interval for the mean life.
The value of R-square indicates the amounts of variation in the dependent variable that is explained by the independent variable.
Show that theta~ = u(X) is an unbiased estimator of theta, where u(0) = 1 and u(x) = 0 if x =1,2, ... Compare the MSEs of theta(hat) and theta~ for estimating theta = e^(-m) when m=1 and m=2
professor takes a random sample of students enrolled in statistics 101 at abc university. he finds the following there
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