■ TABLE 13E.1 Data for Exercise 13.1. Phosphor Type Glass Type 1 2 3 1 280 300 290 290 310 285 285 295 290 2 230 260 220 235 240 225 240 235 230 An article in Industrial Quality Control (1956, pp. 5–8) describes an experiment to investigate the effect of glass type and phosphor type on the brightness of a television tube. The response measured is the current necessary (in microamps) to obtain a specified brightness level. The data are shown in Table 13E.1. (1) Specify the factors of the experiments, and how many levels for each factor. (2) Completes the ANOVA table, and draw conclusion: whether the glass type, the Phosphor type, and their interaction have an effect on the brightness? Please use F- values with α = 0.05 to draw your conclusion.
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- Q5) An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213–216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch & 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data shown is posted on BruinLearn Week 2: A. Is there any difference in compressive strength due to the rodding level? Use (α= 0.05). B. Find the P-value for the F statistic in part (a). C. Analyze the residuals from this experiment. What conclusions can you draw about the underlying model assumptions? D. Construct a graphical display to compare the treatment means as described in your lecture notes.Q. 4 Surgery was performed on 492 patients in the Anywhere Health Care Facility during March, and 27 of those patients died within 10 days of surgery. Find Postoperative death rate.1. (Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608–619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage). y 4.4 6.6 9.7 10.6 10.8 10.9 0.19 0.15 0.57 0.70 0.67 0.63 y 11.8 12.1 14.3 14.7 15.0 17.3 0.47 0.70 0.60 0.78 0.81 0.78 y 19.2 23.1 27.4 27.7 31.8 39.5 0.69 1.30 1.05 1.06 1.74 1.62 a. Draw a scatter diagram of the data. Does a simple linear regression model seem appropriate here? b. Fit the simple linear regression model using the method of least squares. Find an estimate of o?. C. Estimate the mean chloride concentration for a watershed that has 1% roadway area. d. Find the fitted value corresponding to x = 0.47 and the associated residual.
- C-4) The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. Ten observations on concentration are taken with each catalyst, and the data follow: Catalyst 1: 57.9, 66.2. 65.4, 65.4, 65.2. 62.6, 67.6, 63.7, 67.2. 71.0 Catalyst 2: 66.4. 71.7. 70.3. 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8. Find a 95% confidence interval on the ratio of active concentrations for the two catalysts, and explain it.The following table gives the number of defects observed in 8 woollen carpets passed as satisfactory. Construct the control chart for the number of defects. Serial No. of Carpets No. of defects 21 6 2 1 7.5.15. An experiment is conducted to study the influence of operating temperature and three types of face-plate glass in the light output of an oscilloscope tube. The following data are collected: Glass Type (b) (c) 1 2 3 100 580 568 570 550 530 579 546 575 599 Temperature 125 1090 1087 1085 1070 1035 1299 1045 1053 1066 150 1392 1380 1386 1328 1312 1000 867 904 889 (a) Use a = 0.05 in the analysis. Is there a significant interaction effect? Does glass type or temperature affect the response? What conclusions can you draw? Fit an appropriate model relating light output to glass type and temperature. Analyze the residuals from this experiment. Comment on the adequacy of the models you have considered.
- Recall the empirical One study, published in 1972 by R. Risebrough, (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, 443–463). In that study, 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm). The PCB concentrations are presented in the following table: Draw the relative frequency histogram Is it reasonable to apply the Empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean? Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the Compare your answers in parts (b) and (c).Q.#1(a) According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 30 pieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values:18.71, 21.41, 20.72, 21.81, 19.29, 22.43, 20.17,23.71, 19.44, 20.50, 18.92, 20.33, 23.00, 22.85 ,19.25, 21.77, 22.11, 19.77, 18.04, 21.12, 17.9, 17.9,19.44,19.44, 17.9, 20.33, 28.23, 15.20, 30.00, 29.4.(i) Make a frequency distribution of above sample values.(ii) Compute the 10% trimmed mean.(iii) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?(iv) Make a HistogramAnufu. zilustration 19. According to a survey the following results were obtained : Girls 200 No, of candidates appeared at an examination Married Married and successful Unmarried and successful Boys 800 150 70 550 50 20 110
- The following data set refers to count of particulate matter in 16 hospitals rooms across Boston. As you can see, this is an experiment designed to determine the impact of carpeting on particulate matter. To this effect, an equal sample of 8 rooms were selected for both the categories and the levels of particulate matter were noted i.e. half the hospital rooms were carpeted and the other half were uncarpeted. Looking at the data, can you conclude at an alpha = 0.05 if the level of particulate matter is different in the two room types? Carpeted 11.8 8.2 7.l 13.0 10.8 10.1 14.6 14.0 Uncarpeted 12.1 8.3 3.8 7.2 12.0 11.1 10.1 13.7Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Each in a sample of 44 hospital employees who were diagnosed with a latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are x= 19.4 and s = 11.7. Complete parts (a) - (d). a. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. b. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. Give a practical interpretation of the interval, part (b). O A. One can be 95% confident that latex gloves cause allergies for all who use a number of gloves contained in the interval. O B. One can be 95% confident that the…Healthy men aged 21–35 were randomly assigned to one of two groups: half received 0.82 gram of alcohol per kilogram of body weight; half received a placebo. Participants were then given 30 minutes to read up to 34 pages of Tolstoy’s War and Peace (beginning at Chapter 1, with each page containing approximately 22 lines of text). Every two to four minutes, participants were prompted to indicate whether they were “zoning out.” The proportion of times participants indicated they were zoning out was recorded for each subject. The following table summarizes data on the proportion of episodes of zoning out. Group n S Alcohol 25 0.25 0.05 Placebo 25 0.12 0.03 Do we have evidence to claim that two groups have different means?