A process that produces titanium forgings for automobile turbocharger wheels is to be controlled by using an x-bar chart. Initially, 100 samples of size 4 are collected, and a 3- sigma control chart is set up to monitor the process: UCL=12, CL=10, LCL=8. If the process average suddenly shifted to 11, what is probability that the shift will be detected on the second sample following the shift?
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- process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is three to four times stronger than the toughest steel alloys. To estimate the mean temperature at which a particular type of metallic glass becomes brittle, 20 pieces of this material were randomly sampled from a recent production run. Each piece was subjected to higher and higher temperatures until it became brittle. The temperature at which brittleness first appeared was recorded for each piece in the sample. The result suggests that the average temperature which brittleness first appeared is about 472 degrees Fahrenheit with a standard deviation of 28 degrees Fahrenheit. Calculate the length of the 95% confidence interval for the mean temperature at which a particular type of metallic glass becomes brittle. Note: Round your answer to 4 decimal places."Color fastness to wash" of a colored textile fabric is defined to be the fabric's resistance to changes in color when subjected to repeated washing of the fabric. The test for ensuring the fastness of colored fabrics is performed in a dying lab. A newly manufactured lot of a red multifiber fabric baseline color measurement of each swatch. The 10 swatches undergo 10 identical washes, after which the color of each swatch is again measured by the same spectrophotometer. This procedure was repeated after 25 washes and again after 50 washes of the 10 swatches. sent to a dying lab for a wash fastness test. Ten swatches of the fabric are cut, each measuring 40 by 100 millimeters. A spectrophotometer is used to obtain a precise Which of the following is a true statement regarding this study? O This study uses independent groups to compare the color of the fabric at three points in time. O This is an observational study. O This is a repeated measures design that examines the change in color…Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.01 level of significance whether the two methods of analysis give, on the average, the same result. Click here to view the sample analyses. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let sample 1 be the X-ray fluorescence results and let sample 2 be the laboratory chemical results. State the null and alternative hypotheses. Ho: HD %3D H1: HD Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to three decimal places as needed.) A. t> В. t
- The drug BGH (Bovine Growth Hormone) is reported to increase the milk production in dairy cows. It is known that the average milk production of dairy cows not using BGH is 58 pounds per day. The drug was tested on nine randomly selected dairy cows and the following weights were recorded: 59, 48, 66, 65, 80, 73, 69, 62, 70. a. Construct a 95% CI for the mean weight of milk produced by cows using BGH. b. Interpret this CI, what can you say about the effect of BGH on production?Heat flow is the passage of thermal energy from a hot to a cold body. This phenomenon is of particular interest to engineers, who attempt to understand and control the flow of heat through the use of thermal insulation and other devices. The data below were taken from heat flow gauge readings for an industrial process over 10 equally spaced time intervals. A concern is that the process may be cooling down as time progresses. One way to check this statistically is to compare the measurements for the first 5 time periods to the measurements for the last 5 time periods. You may assume that heat flow is approximately normal for each group. Time period 1 (Group 1): 9.273, 9.262, 9.243, 9.283, 9.270Time period 2 (Group 2): 9.240, 9.292, 9.284, 9.279, 9.258 Unless otherwise stated, give your answers to three decimal places. Construct a 95% confidence interval for the difference in mean heat flow. Give your answers to three decimal places. Use t∗=2.352t∗=2.352.( , ) Conduct a hypothesis…The data in table is from a randomized block design represent blood pressure measurements from an experiment involving 4 age groups, each with 3 persons. The 3 persons within each age group were randomly assigned to drugs, A, B and C with one person per drug. This was done to keep the drug assignments balanced within age groups. Comparing the three drugs in manner that provides balance for or control for possible age effects. Consider the data given in table below and compute; a. Mean Square Due to Treatments (MSTR) b. Mean Square Due to Blocks (MSBL) Mean Square Due to Error (MSE) C. d. F-test Treatments Age Groups (Blocks) A B 1 70 72 2 76 84 3 82 86 4 90 92 Total 318 334 C Total Blocks 80 222 82 242 84 252 88 270 334 986
