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- A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 12 bulbs of model A showed a mean lifetime of 1203 hours and a standard deviation of 114 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1396 hours and a standard deviation of 105 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 95% confidence interval for the difference u, -, between the mean lifetime u, of model A bulbs and the mean lifetime u, of model B bulbs. 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 two decimal places. (If necessary, consult a list of formulas.) Lower limit:| Upper limit:A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 13 bulbs of model A showed a mean lifetime of 1358 hours and a standard deviation of 105 hours. Analysis of 12 bulbs of model B showed a mean lifetime of 1357 hours and a standard deviation of 103 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 90% confidence interval for the difference µ, –, between the mean lifetime lj of model A bulbs and the mean lifetime µ, of model B bulbs. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:|| Upper limit:IHighway engineers in Ohio are painting white stripes on a highway. The stripes are supposed to be approximately 10 feet long. However, because of the machine, the operator, and the motion of the vehicle carrying the equipment, considerable variation occurs among the stripe lengths. Engineers claim that the variance of stripes should be less than 16 inches squared. At α = .05, use the sample lengths given here from 12 measured stripes (in feet and inches) to test the variance claim. Assume stripe length is normally distributed. (in feet) (in inches) 9.85 118.2 9.7 116.4 9.9 118.8 9.5 114 9.15 109.8 10.1 121.2 10 120 9.8 117.6 9.9 118.8 10.3 123.6 10.1 121.2 10.2 122.4 The appropriate test for this question is: a Z-test for the true variance of stripe length. a t-test for the true mean of stripe length. a Chi-square test…
- Estimate the variance of the number of FHH members. Upload a snapshot of your solution. Estimate the variance of the sample means of the number of FHH members for samples of size 15 taken from the population of FHHs in Brgy Mayaman using your gathered sample data. Upload a snapshot of your solution.Find the variance of the time to failure for two identical units, each with a failure rate 2, placed in standby parallel configuration. Compare the result with the vari- ance of the same two units placed in active parallel configuration. Ignore switch- ing failures and failures in the standby mode.The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line. Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All measurements are in thousandths of an inch. Sample data for Precision Machining Company Diameter (thousandths of an inch) Minutes 1- 12 10 11 13 11 12 10 9. 8 11 12 13 - 24 10 11 12 11…
- Two different box-filling machines are used on an assembly line. The critical measurement influenced by these machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is o² =3 ounces. Experiments are conducted using both machines with sample sizes of 81 each. The sample averages for machines A and B are XA = 12.1 ounces and = 12.3 ounces. Engineers are surprised that the two sample averages for the filling machines are so different. Complete parts (a) XB = and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Use the Central Limit Theorem to determine P(XB-XA20.2) under the condition that HA = HB. P(XB-XA20.2) = 4 Get more help - Clear all Check answer (1)A sample of 9 days over the past six months showed that that Philip Sherman, DDS, treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. If the number of patients seen per day is normally distributed, would an analysis of these sample data reject the hypothesis that the variance in the number of patients seen per day is equal to 10? Use a = 0.10 level of significance. Use Table 3 from Appendix B. State the hypotheses. Ho: 0² = H₂: 0² 10 Calculate the variance and test statistic. (to 2 decimals) variance = test statistic = What is your conclusion? 10 Do not reject the null hypothesis ✓A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 15 bulbs of model A showed a mean lifetime of 1348 hours and a standard deviation of 81 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1351 hours and a standard deviation of 109 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 99% confidence interval for the difference H-, between the mean lifetime u, of model A bulbs and the mean lifetime u, of model B bulbs. Then find the lower limit and upper limit of the 99% confidence interval, Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 2021 McGraw-Hill Education. Al Rights Reserved…
- what does MS stand for in analysis of variance?Suppose the number of off springs a female eagle raises during its lifetime has a distribution with mean 15 and variance 4. In an area, 45 rescued and cured female eagles are set free. If these eagles are assumed to be independent (no lack of male partners and food resources), the total number of off-springs produced by these eagles can be assumed to have a Normal distribution with mean and varianceTwo suppliers manufacture a plastic gear used in laser printer.
