Given one observation form a population with p.d.f.: f(x,0) (0-x),0 ≤x≤0, Obtain 100 (1-a) % confidence interval for 6.
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- Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer wras started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who vwere diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. A USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hgip + O H;: p > O H: p= O Hgi p O Ho: P = O Hoi p * (c) If 194 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)…A company manufactures tennis balls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 55.2 inches. This average is maintained by periodically testing random samples of 25 tennis balls. If the t-value falls between −t0.95 and t0.95, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.1 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls? Find −t0.95 and t0.95.Given a 95% confidence interval for a population mean u: 95% CI for µ = (-2.3, 3.5) Which statement about the population mean is incorrect? O We are 95% confident that the population mean lies in the range (-2.3 to 3.5) O The population mean is between (-2.3 to 3.5) with 95% probability The range (-2.3 to 3.5) is computed by a procedure that succeeds in covering the population mean 95% of the time. 95% of all the samples that could have been drawn would fall in the range (-2.3 to 3.5)
- You are performing a right-tailed matched-pairs test with 17 pairs of data.If α=.025 find the critical value, to two decimal places.A study of 100 randomly selected students revealed that 39% of sampled student used books for studying i. Based on this study, estimate the true proportion of student that use books for studying with 95% confidence.ii. If there are 10,000 student in a school, what would be the minimum and maximum number of student expected to use books for study?A manufacturer of MP3 players conducts a set of comprehensive tests on the electrical functions of its product. All MP3 players must pass all tests prior to being sold. Of a random sample of 1000 MP3 players, 30 failed one or more tests. Find a 99% confidence interval for the proportion of MP3 players from the population that pass all tests.
- In random, independent samples of 400 adults and 350 teenagers who watched a certain television show, 280 adults and 161 teens indicated that they liked the show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 95% confidence interval for p, -p,. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:b) Let X1, X2, .,X, be a random sample from a normal distribution with known .... mean u. Using a distribution of U = E, , Mr Mbalula showed that a 100(1 – a)% two sided confidence interval for o? is give by E(X – 4)² £=(X; – µ) | xả. Prove whether or not Mr Mbalula is correct.In random, independent samples of 400 adults and 275 teenagers who watched a certain television show, 224 adults and 121 teens indicated that they liked the show. Let p, be the proportion of all adults watching the show who liked it, and let p, be the proportion of all teens watching the show who liked it. Find a 95% confidence interval for p,-P2. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
- Let X1,..., X100 ~ Bernoulli(p) be iid, where 0Let X1, X2, *. Xn be a random sample of size n from norm population with mean and unknown a. Let X and s be the sample mean and sample standard deviation. Then for any 0Derive that the lower bound of one-sided confidence interval is L = Ô – CaSE[j].SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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