Given Ages of Prisoners Agel Number Years) 16- 25 13 26-35 61 36 - 45 66 46 - 55 36 56 - 65 14 66 - 75 mean, - years (one decimal place) standard deviation, s- years (one decimal place) confidence level is 95%, critical value ta : margin error, E- (two decimal places) Confidence interval ( lower limit, then upper limit ; round to one decimal place) 5.
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- A thread manufacturer wants to estimate the mean tensile strength of a particular type of thread. A random sample of 15 examples of the thread are tested. The mean tensile strength of the sample is 7.64 pounds with a sample standard deviation of 0.48 pounds. Construct a 95% confidence interval for the mean tensile strength of that type of thread. In the next question, you will enter the upper limit of the interval. For now, enter the lower limit of the interval, rounded to two decimal places.True or False 1. The equivalent parametric test for Wilcoxon Rank-Sum test is Paired t-test. 2. Wilcoxon-Rank Sum Test is a non-parametric test for paired samples in an experimental design. 3. Non-parametric tests are any method of inference, hypothesis testing or confidence interval construction, that does not depend on the form of underlying distribution of the observations.A simple random sample of the running time of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 0.05 level of significance. Assume that the lengths of movies are normally distributed.(a) State the claim, null hypothesis and alternative hypothesis needed to test this claim.Claim: H0: H1:(b) Find the value of the test statistic needed to test this hypothesis.
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- The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 104 pounds. A random sample of 60 newly manufactured cables has a mean breaking strength of 1800 pounds. Based on this sample, find a 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.To test the durability of cell phone screens, phones are dropped from a height of 1 meter until they break. A random sample of 40 phones was selected from each of two manufacturers. The phones in the samples were dropped until the screens broke. The difference in the mean number of drops was recorded and used to construct the 90 percent confidence interval (0.46,1.82) to estimate the population difference in means. Consider the sampling procedure taking place repeatedly. Each time samples are selected, the phones are dropped and the statistics are used to construct a 90 percent confidence interval for the difference in means. Which of the following statements is a correct interpretation of the intervals? A)Approximately 90 percent of the intervals will extend from 0.46 to 1.82. B)Approximately 90 percent of the intervals constructed will capture the difference in sample means. C)Approximately 90 percent of the intervals constructed will capture the difference…A financial analyst wants to estimate the difference in the mean growth for all large- and small-cap stocks for the last 60 days. He selects a random sample of 30 large-cap stocks and 30 small-cap stocks from the large populations of large- and small-cap stocks. Are the conditions for constructing a 90% confidence interval for the difference in the true mean growth of all large- and small-cap stocks for the last 60 days met? Random: 10%: Normal/Large Sample:
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