Example 2: A drilling machine bores holes with a mean diameter of 0.5230 cm and a standard deviation of 0.0032 cm. Calculate the 2 - sigma and 3 - sigma upper and lower control limits for means of samples 4, and prepare a control chart.
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Q: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of…
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Q: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of…
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Q: Government regulations restrict the amount of pollutants that can be released to the atmosphere…
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Q: Government regulations restrict the amount of pollutants that can be released to the atmosphere…
A: Thank you!
Q: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of…
A: Given: n=38μ=48.3σ=5x¯=48.5
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- Government regulations restrict the amount of pollutants that can be released to the atmosphere through industrial smokestacks. To demonstrate that their smokestacks are releasing pollutants below the mandated limit of 8 parts per billion pollutants, REM Industries collects a random sample of 15 readings. The mean pollutant level for the sample is 7.65 parts per billion with a population standard deviation of 0.9 parts per billion. Do the data support the claim that the average pollutants produced by REM Industries are below the mandated level at a 0.05 significance level? Assume the population of readings is approximately normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants , insulating materials , and lubricants in electrical equipment. Disposal of the items containing less than 50 parts per million ( ppm) PCM is generally not regulated . A certain kind of small capacitor contains PCB with a mean of 48.2 ppm and a standard deviation of 8 ppm. The Environmental Protection Agency takes a random sample of 37 of these small capacitors , planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49 ppm or more . Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places .Decide whether to reject or fail to reject the null hypothesis. Z (right - tailed test), a = 0.05 Zcomputed = 1.42
- Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD 2.5 standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and sex roughly follow a Normal distribution. What percent of healthy young adults have osteoporosis by the WHO criterion? Give your answer to two decimal places.An article shows data to compare several methods for predicting the shear strength for steel plate girders. Data for two of these methods, the Karlsruhe and Lehigh procedures, when applied nine times to a girder, are shown in the following table. We wish to determine whether there is any difference between the two methods. Assume the same standard deviations. (Note that we will perform unpaired comparison. We do not perform a paired test.) Karlsruhe Method Lehigh Method 1.21304 1.160384 1.251478 1.268834 1.218271 1.214254 1.232497 1.244961 1.142573 1.091621 1.286563 1.2297 1.239222 1.219269 1.161394 1.162844 1.169785 1.118203 1.231058 1.199258 1.233329 1.269486 1.153381 1.106666 1.2. For a sample standard deviation, use Excel function STDEV.S(), not STDEV.P(). Fill in the blanks below: Karlsruhe Method Lehigh Method x1 = x2 = s1 = s2 = n1 = n2 = 1.3. Do the data suggest that the two…(3) A process for manufacturing soft soda produces normally distributed yield with a mean of 600 and a standard deviation of 100 units. A new modified process yields an average of 630 units for a sample of size 50. At a = 0.05 does the modified process increase the yield? %3D
- 3) A study was conducted to see if increasing the substrate concentration has an appreciable effect on the velocity of a chemical reaction. With a substrate concentration of 1.5 moles per liter, the reaction was run 15 times, with an average velocity of 7.5 micromoles per 30 minutes and a standard deviation of 1.5. With a substrate concentration of 2.0 moles per liter, 12 runs were made, yielding an average velocity of 8.8 micromoles per 30 minutes and a sample standard deviation of 1.2. Is there any reason to believe that this increase in substrate concentration causes an increase in the mean velocity of the reaction of more than 0.5 micromole per 30 minutes? Use a 0.01 level of significance and assume the populations to be approximately normally distributed with equal variancesBone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of womenConcrete cubes are used to test the quality of mix from a concrete mixing plant. 28 day compressive strength is taken as the standard measure to test the quality of the mix. Tests show that mean compressive strength of a sample of cubes is 28.4 units with a standard deviation of 2.95 units. To assure quality, the mixing company requires that at least 95% of the samples have compressive strength greater than 24 units. Based on this information and assuming a large sample size, answer the following questions. After major improvements on the plant, the mixing company is able to make cubes more consistent (reduce SD of compressive strength but maintain the same mean). For what value of the new SD will be cube standards be just met? Based on the requirements, only about___% of the samples meet the company standards.?
- In a machining process, diameter of a product is of concern as a quality characteristic. Control charts are to be constructed to control the mean diameter quality characteristic. Suppose that the machining process operates with a mean diameter of 5.00 mm and a known standard deviation of o=0.09 mm. Samples of size n=9 parts will be used for the control process. a) Determine the Upper and Lower Control Limits (UCL and LCL) for the 30 control chart to be used to control mean diameter based on the sample means. UCL= LCL= b) Suppose 7 samples (each with size n=9) are taken from the process and their mean values determined as below. Indicate the sample mean which is out of control. ₁5.01, 4.90, 4.96, 5.05, 4.89, 5.095, 4.965 Sample means out of Control- Type of Error= c) If a sample mean of 5.11 is obtained and found that it is outside the control limits, the process will be stopped for corrective action because the control chart signals that the process is out of control, while the process…Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 47.7 ppm and a standard deviation of 5 ppm. The Environmental Protection Agency takes a random sample of 38 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.2 ppm and a standard deviation of 5 ppm. The Environmental Protection Agency takes a random sample of 37 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
