A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s2, is determined to be 12.5. (a) Construct a 90% confidence interval for σ2 if the sample size, n, is 30. The lower bound is ___________? (Round to two decimals) The upper bound is ___________? (Round to two decimals) (b) Construct a 98% confidence interval for σ2 if the sample size, n, is 20. The lower bound is ___________? (Round to two decimals) The upper bound is ___________? (Round to two decimals)
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A simple random sample of size n is drawn from a population that is known to be
(a) Construct a 90% confidence interval for σ2 if the sample size, n, is 30.
The lower bound is ___________? (Round to two decimals)
The upper bound is ___________? (Round to two decimals)
(b) Construct a 98% confidence interval for σ2 if the sample size, n, is 20.
The lower bound is ___________? (Round to two decimals)
The upper bound is ___________? (Round to two decimals)
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- 8Complete parts a through dFind the left and right chi square values, then give the confidence interval. Sample Variance s = 14.6 Confidence Level c = 0.90 and Sample Size n = 22 Left Right 1+c1- c Level of Significance a Degrees of Freedom n-1 Confidence Interval for Variance o (n – 1)s² (n – 1)s? XR and XR %3D %3D At the 90 % level of confidence the population variance is between and (Round all answers to 3 decimal places)
- Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 14 14 0.54 0.41 0.51 1.14 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? O A. Ho: H1= H2 O B. Ho: H1= H2 H1: H1> H2 O C. Ho: H1Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 28 28 0.56 0.41 0.84 1.06 H1: 41> H2 The test statistic, t, is 0.59. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)Weights of Vacuum Cleaners Upright vacuum cleaners have either a hard body type or a soft body type. Shown are the weights in pounds of a random sample of each type. Find the 90% confidence interval for the difference of the means. Assume the variables are normally distributed and the variances are unequal. Round the sample mean and sample standard deviation to two decimal places and the final answers to at least one decimal place. 21 20 Hard body types 17 15 23 18 16386 17 15 <₂-₂< Send data to Excel 20 17 16 11 17 17 24 16 X Soft body types Use ₁ for the mean weight of the hard body type. 12 15 14 17 18 13 SWhat proportion of people living in Quebec believes in Quebec sovereignty? A random sample of n = 375 persons living in Quebec was recently taken, of which K, the number sampled who believe Quebec should be a sovereign nation, was observed to be K=157.(a) Find a 95% confidence interval for the proportion of all persons living in Quebec who believe that Quebec should be a sovereign nation.____________ ≤ μ ≤ ____________(b) Correctly complete the interpretation of the 95%:Based on: ____________ the percentage of: A. everyone living in Quebec that belive in sovereignty B. everyone sampled who live in Quebec that belive in sovereignty is somewhere between ____________ % and ___________ %.This is what it means to be "95% confident" when we create a 95% confidence interval for thepopulation mean: If we take repeated random samples of the same size ? from our population andcalculate all of the sample means and all of the corresponding 95% confidence intervals, we expect__________ of those intervals will contain the true population mean (µ).Use technology to construct the confidence intervals for the population variance σ2 and the population standard deviation σ. Assume the sample is taken from a normally distributed population. c=0.95, s=36, n=18 The confidence interval for the population variance is (____,____) (Round to two decimal places as needed.) The confidence interval for the population standard deviation is (____,____). (Round to two decimal places as needed.)ch.8 confidence interval mean A researcher is interested in finding a 98% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 144 students who averaged 37.5 minutes concentrating on their professor during the hour lecture. The standard deviation was 11.3 minutes. b. With 98% confidence the population mean minutes of concentration is between (round to 3 decimal places) _____ and _____ minutes. c. If many groups of 144 randomly selected members are studied, then a different confidence interval would be produced from each group. About _____ percent of these confidence intervals will contain the true population mean minutes of concentration and about _______ percent will not contain the true population mean minutes of concentration.An estimator that tends to produce more accurate estimates of the population parameter as the sample size increases is best characterized as a(n)_____________Select one: A. A consistent estimator approaches the estimated population parameter as the sample size grows larger. B. An unbiased estimator is consistent if its standard error is lower than that of other estimators of the estimated population parameter. C. An estimator is consistent if its expected value equals the estimated population parameter. D. An estimator is consistent if it always gives the correct value of the estimated population parameter.Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 25 25 0.53 0.46 0.93 1.01 O C. Ho: H1=H2 H1: Hy # H2 O D. Ho: H1 H2 H: H1Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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