CALLENE 721 Confidence intervals for population proportions. ACTIVITY Critical values for quick reference during this activity. Confidence Jevel Critical volue 0.90 - 1.645 0.95 = 1.960 0.99 2.576 Jurmp to level 1 In a poll of 1000 randomly selected voters in a local election, 778 voters were against school bond measures. What is the sample proportion p? Ex 0.123 What is the margin of error m for the 90% confidence level? Ex: 0.123 Check Next D-D.
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- The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. a) Develop a point estimate of the difference between the population mean remodeling costs for the two types of projects.b) Develop a 90% confidence interval for the difference between the two population means.Estimate the minimum sample size needed to achieve the margin of error E=0.039 for a 95% confidence interval. The minimum sample size is _____?The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95% confidence interval for the concentration in whitefish found in Yellowknife Bay. b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t distribution be used to find a 95% confidence interval for the concentration in whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why not.
- Use the data file A2Q2.xlsx to answer this question. A sample containing years tomaturity and yield for 40 corporate bonds is contained in the file A2Q2.xlsx.a. What is the sample mean years to maturity for corporate bonds and what is thesample standard deviation?b. Develop a 95% confidence interval for the population mean years to maturity.c. What is the sample mean yield on corporate bonds and what is the sample standard deviation?d. Develop a 95% confidence interval for the population mean yield on corporatebonds. Company Ticker Years to Maturity Yield HSBC 12.00 4.079 GS 9.75 5.367 C 4.75 3.332 MS 9.25 5.798 C 9.75 4.814 TOTAL 5.00 2.069 MS 5.00 4.739 WFC 10.00 3.682 TOTAL 10.00 3.270 TOTAL 3.25 1.748 BAC 9.75 4.009 RABOBK 9.75 3.203 GS 9.25 5.755 AXP 5.00 2.181 MTNA 5.00 4.366 MTNA 10.00 6.046 JPM 8.25 2.310 GE 28.00 5.030 LNC 10.00 4.163 BAC 8.00 3.699 FCX 15.00 4.030 GS 25.50 6.013 RABOBK 4.75 2.755 GE 24.75 5.008 HCN 8.00…The article “Application of Surgical Navigation to Total Hip Arthroplasty” (T. Ecker and S.Murphy, Journal of Engineering in Medicine, 2007:699–712) reports that in a sample of 123 hipsurgeries of a certain type, the average surgery time was 136.9 minutes with a standard deviationof 22.6 minutes.a) Find a 95% confidence interval for the mean surgery time for this procedure.b) Find a 99.5% confidence interval for the mean surgery time for this procedure.c) A surgeon claims that the mean surgery time is between 133.9 and 139.9 minutes. Withwhat level of confidence can this statement be made?d) Approximately how many surgeries must be sampled so that a 95%confidence intervalwill specify the mean to within ±3 minutes?e) Approximately how many surgeries must be sampled so that a 99%confidence intervalwill specify the mean to within ±3 minutes?