Q1: The effect of three different lubricating oils on fuel economy in truck engines is being studied. Five different truck engines are available for the study and the following fuel consumption measurements are given below. Trucks Oil 1 2 3 4 5 Total 1 50.0 63.4 48.7 32.9 51.2 246.2 2 53.5 67.5 52.0 43.5 54.0 270.5 3 51.3 59.5 48.8 40.0 51.0 250.6 ТOTAL 154.8 190.4 149.5 116.4 156.2 767.3 (50.02 + 63.4? +48.7? +.. .+48.82 +40.0² +51.1² =40280.23) a. Name the experimental design used. b. Name the factor of interest and the nuisance factors (if any). c. Analyze the data from this experiment. d. Was blocking worthwhile? e. Use LSD (a = 0.05) to compare oils. f. Which oil do you recommend? Justify your answer.
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- The performance of two analysts in determining total mercury (mg / kg) in fish was evaluated using the absorption spectrometry method. The results on the concentrations of mercury found in fish, for each analyst, are presented in the table below: Analyst 1 Analyst 2 7 12 9 8 6 9 11 13 13 14 8 9 7 8 13 10 12 7 9 15 (a)Is the performance in determining total mercury for Analyst 1 more accurate than Analyst 2? Compare the accuracy in the results of the two analysts at a 95% confidence level. Explain. (b)Are the results obtained by the two analysts, in the concentrations of mercury found in the fish, statistically equivalent, with 95% confidence? ExplainQ1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t test
- A study assessed the lung destructive index among smokers and non- smokers provided the following data Smokers : overline x 1 =14.5 n 1 =12 S P =2.50 Non- Smokers: overline x 2 =9.5 n 2 =10 a = .05 From the available data, can we conclude that smokers have greater lung damage than non-smokers?Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1 : 4.9 5.4 5.3 4.9 5.2 5.1 5.4 4.9 5.1 5.1 4.9 5.4 Day 2 : 5.5 5.2 5.1 5.0 5.3 5.4 5.3 5.2 5.4 5.3 5.4 5.1 Day 3 : 5.8 5.0 5.4 5.5 5.5 5.5 4.8 5.5 5.2 4.9 5.5 5.0 Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days Error Total Is there enough evidence to conclude that the mean sugar concentration…
- To compare the effect of weather on sales of soft drinks, a soda manufacturer sampled two regions of the country with the following results. Is there a difference in sales between the 2 regions? Using the 1% level of significance, what is the critical value?_____________Region A______Region BSample Size____1000__________1500Sales__________400___________500 Group of answer choices A. ± 2.58 B. ± 2.33 C. ± 1.96 D. ± 1.64Q1A) List down the measures of central tendency and measures of dispersion 1) Q1B) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. PLEAS ANSWER Q1&B. THANK YOU.A local bus company is planning a new route to serve four housing subdivisions. Random samples of households are taken from each subdivision, and sample members are asked to rate, on a scale of 1 (strongly opposed) to 5 (strongly in favor), their reaction to the proposed service. The results are summarized in the accompanying table. Subdivision 1 Subdivision 2 Subdivision 3 Subdivision 4Ni 240 190 350 280ni 40 40 40 40x̄i 2.5 3.6 3.9 2.8si 0.8 0.9 1.2 0.7a. Find a 90% confidence interval for the mean reaction of households in subdivision 1.b. Using an unbiased estimation procedure, estimate the mean reaction of all households to be served by the new route. c. Find 90% and 95% confidence intervals…
- The article “Effect of Varying Solids Concentration and Organic Loading on the Performance of Temperature Phased Anaerobic Digestion Process” (S. Vandenburgh and T. Ellis, Water Environment Research, 2002:142–148) discusses experiments to determine the effect of the solids concentration on the performance of treatment methods for wastewater sludge. In the first experiment, the concentration of solids (in g/L) was 43.94 ± 1.18. In the second experiment, which was independent of the first, the concentration was 48.66 ± 1.76. Estimate the difference in the concentration between the two experiments, and find the uncertainty in the estimate.Two analysts were given a standard reference material (SRM) and were asked to determine its copper concentration (in mg/kg) using the EPA standard method. Each analyst was given sufficient time so they could produce as many accurate results as possible. Their results (mg/kg) were as follows: Analyst A 45.2, 47.3, 51.2, 50.4, 52.2, 48.7 (Standard error s = 2.62) Analyst B 49.4, 50.3, 51.6, 52.1, 50.9 (Standard error s = 1.06) (a) For Analyst A, is 52.2 mg/kg a possible outlier? (b) Calculate the RSD for each student; which analyst is more precise? (c) If the known concentration of copper in SRM is 49.5 mg/kg, which analyst is more accurate (without considering the deletion of outliers if any)?An analyst wants to know whether there is any significant difference in themeasurement results produced by alternative method compared areference method in determination of the concentration of vitamin C invegetables. He analysed eight different test materials using the bothmethods and the results are shown below:ethod Validation2Test material (mg Vitamin C/100 g)Method A B C D E F G HReference 291 397 379 233 365 291 289 189Alternative 272 403 389 224 368 282 286 201Difference 19 -6 -10 9 -3 9 3 -12Test if the alternative method provides compatible measurement results atsignificant level of 0.05. Given that ?? = 2.365.(? = 0.296)