Data Frequency 40 - 44 13 45 - 49 18 50 - 54 12 55 - 59 60 - 64 2 Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction). (a) mode = (b) median = (C) mean =
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- Approximate the measures of center for following GFDT. Data Frequency 50 - 54 2 55 - 59 4 60 - 64 7 65 - 69 15 70 - 74 21 75 - 79 10 80 - 84 7 85 - 89 0 90 - 94 7 mode = median = mean = Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction).Approximate the measures of center for following GFDT. Data Frequency 30 - 34 2 35 - 39 0 40 - 44 14 45 - 49 20 50 - 54 13 Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction). (a) mode = (b) median = (c) mean =Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0 : µ = 4 versus Ha : µ > 4, where µ is the true mean radon level. (a) Describe a Type I error.(b) Give a consequence of making a Type I error. (c) Describe a Type II error.(d) Give a consequence of making a Type II error. (e) Which error is more serious? Why?
- Radon is a colorless, odorless, invisible gas that seeps into residential homes and has been linked to lung cancer. A generally acceptable safe level of radon is 4 pCi/L. A radon detection device measures the radon level once per hour at a randomly selected time throughout a one-week period. Then it calculates the mean radon level for the sample of measurements. Based on the sample results, the device performs a test of H0: µ = 4 versus Ha : µ > 4, where µ is the true mean radon level. (c) Describe a Type II error.(d) Give a consequence of making a Type II error. (e) Which error is more serious? Why?The specifications for a plastic liner for concrete high-way projects calls for a thickness of 3.0 mm {.1 mm. The stand-ard deviation of the process is estimated to be .02 mm. What are the upper and lower specification limits for this product? The pro-cess is known to operate at a mean thickness of 3.0 mm. What is the Cpk for this process? About what percentage of all units of thisliner will meet specifications?A method of applying zinc plating to steel is supposed to produce a coating whose mean thickness is no greater than 7 microns. A quality inspector measures the thickness of 36 coated specimens and tests H0: μ ≤ 7 versus H1: μ > 7. She obtains a P-value of 0.40. Since P > 0.05, she concludes that the mean thickness is within the specification. Is this conclusion correct? Explain.
- In a manufacturing process, the impurity level of the product is measured on a daily basis. When the pro-cess is operating normally, the impurity level is approx-imately normally distributed with a mean value of 0.800% and a standard deviation of 0.021%. The laboratory measurements for a period of eight consecutive days are shown below. From an SPC perspective, is there strong evidence to believe that the mean value of the impurity has shifted? Justify your answer.develop CUSUM and EWMA charts. Do these charts indicate an “abnor-mal situation”? Justify your answer. For the CUSUM chart, use K=0.5s and H=5s where s is the sample standard deviation. For the EWMA chart, use λ=0.25.2.A politician is interested in the proportion of voters in his district that think he is doing a good job.Define the following in terms of the study. Give examples where appropriate.PopulationSampleParameterStatisticVariableData1: Parameters for a study measuring the level of depression among software engineers, σ = 9; X=63; z = 3.00. Calculate the mean of the population.
- The strength of concrete depends, to some extent, on the method used for drying. Two different drying methods showed the following results for independently tested specimens (measurements in psi): Do the methods appear to produce concrete with different mean strengths? Use α = 0.05 .Product specifications at a local Metalwork company are 1000 ± .040. currently, the process is performing at a grand average of 1000 with a standard deviation of 0.010. a). Calculate the process capability ratio and index. b). Is the process capable? Justify your answer.Dr. Johnson is interested in the difference in mean systolic blood pressure between groups. He performs analysis and finds a mean difference of 0.0005 mmHg in systolic blood pressure with a p value of 0.001. Dr. Johnson's findings are: a) statistically insignificant and practically significant b) statistically significant and practically significant c) statistically insignificant and practically insignificant d) statistically significant but practically ins