QuestionTS In an experiment to determine whether there is a systematic difference between the weights obtained with two different mass balances, six specimens were weighed, in grams, on each balance. The following data were obtained: Specimen 5 A 9.65 13.46 7.74 9.44 10.64 13.23 OH-OH-0018 OH, OH₂H0 State the null and alternate hypotheses. ⒸH₂-OHO B 9.66 13.44 OHQ H₂O 7.72 9.42 10.59 13.22
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- Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are compared in an air- pollution experiment. It is desired to determine whetherthe two types of instrument yield the equalmean measurement. The following readings were recorded forthe two instruments: Sulfur Monoxide InstrumentA 0.96 Instrument B 0.87 0.74 0.82 0.75 0.61 0.89 0.64 0.81 0.68 0.65 0.63 0.55 0.75 0.70 0.69 0.57 0.53 a) Construct 90% confidence intervalfor the ratio of standard deviations of measurements of the two instruments. b) Depending upon the answerto part (a), construct 95% confidence interval for the difference between the mean measurements of the two instruments and interpret your answer. Assume the measurements are approximately normally distributed. c) Do the mean measurements of the two instruments differ?Periodically, the county Water Department tests the drinking water of homeowners for contminants such as lead and copper. The lead and copper levels in water specimens collected in 1998 for a sample of 10 residents of a subdevelopement of the county are shown below. lead (?μg/L) copper (mg/L) 3.33.3 0.6280.628 3.33.3 0.2930.293 0.30.3 0.7830.783 4.74.7 0.1950.195 55 0.3780.378 1.41.4 0.2330.233 0.90.9 0.1010.101 0.90.9 0.6980.698 3.63.6 0.80.8 1.21.2 0.7610.761 (a) Construct a 99% confidence interval for the mean lead level in water specimans of the subdevelopment. _____≤μ≤_____ (b) Construct a 99% confidence interval for the mean copper level in water specimans of the subdevelopment. ______≤μ≤______A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two samples;then compare the variation. a. The coefficient of variation for the systolic measurements is (Type an integer or decimal rounded to one decimal place as needed.) b. The coefficient of variation for the diastolic measurements is (Type an integer or decimal rounded to one decimal place as needed.)
- A study was carried out to determine the influence of a trace elementfound in soil on the yield of potato plants grown in that soil, defined asthe weight of potatoes produced at the end of the season. A large fieldwas divided up into 14 smaller sections for this experiment. For eachsection, the experimenter recorded the amount of the trace elementfound (in milligrams per metre squared) and the corresponding weightof the potatoes produced (in kilograms). This information is presentedin the worksheet ‘Dataset5’ in the Excel document. Define X as thetrace element amount and Y as the yield.1. Draw a scatterplot of your data set.Page 52. Calculate the coefficients of a linear equation to predict the yieldY as a function of X.3. Calculate the correlation coefficient for the paired data values.4. Set up the framework for an appropriate statistical test to establish if there is a correlation between the amount of the trace element and the yield. Explain how having the scatterplot referredto…O A. HO: µ= 4.00 H1. p 4.00 O C. HO: p = 4.00 H1. p 4.00 O D. HO: p 4.00 H1. p = 4.00A die was rolled 360 times and the results were: No. of Spots (outcomes) Frequency 1 54 2 70 3 58 4 62 5 50 6 66 Is the die balanced at a = 0.05? Determine the test statistic to be used. O A. Chi-square test B. z-Test O C. t-Test O D. F-test
- A survey was conducted to research the public's views on potholes. When the results were analyzed, researchers found that 65% of adults age 20 to 40 view potholes as a serious problem, but only 47% of adults age 60 and older view potholes as a serious problem. Researchers are interested in the difference in proportions of adults age 60 and over and adults age 20 to 30. The standard error for the difference in proportions is 0.011. Which of the following is the margin of error for a 95% confidence interval? Group of answer choices 0.021 0.028 0.011 0.018In evaluating a forge crop, it is important to measure the concentration of various constituents in the plant tissue. In a study of reliability of such measurements, a batch of alfalfa was dried, ground, and passed through a fine screen. Five small (0.3 gm) aliquots of alfalfa were then analyzed for their content of insoluble ash. The results (gm/kg) were as follows: 10.0 8.9 9.1 11.7 7.9 For these data, calculate the mean, the standard deviation, and the standard error of mean.In the accompanying data table, the entries are for five different years and consist of the weights (metric tons) of lemons imported from another country and car crash fatality rates per 100,000 population. The data are based on data from a scientific publication. Lemon Imports: 220 274 355 478 539 Crash Fatality Rate: 16.7 14.8 15.2 14.7 15.8 Given that the data are matched and considering the units of the data, does it make sense to use the difference between each pair of values? Why or why not? Choose the correct answer below. A. No, it does not make sense to use the difference between each amount of lemon imports and car crash fatality rate in the same column,because the terms should be added. B. Yes, it does make sense to use the difference between each amount of lemon imports and car crash fatality rate in the same column, because they are measurements obtained from the same year. C. No, it does not make…
- Which EWMA chart below will yield ARL performance most close to that of cusum chart with k=1/2 and h=5? a. L=2.814, lamda=0.10 b. L=2.615, lamda=0.05 c. L=2.998, lamda=0.25 d. L=3.054, lamda=0.40 e. L=2.962, lamda=0.20Use Microsoft Excel to answer all the questions The grams of solids removed from a material (y) is thought to be related to the drying time. Ten observations obtained from an experimental study follow: x=(4.3 1.5 1.8 4.9 4.2 4.8 5.8 6.2 7.0 7.9) Y=(2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0) a) Construct a scatter diagram for the data. (b) Fit a simple linear regression model IFn. ln. N Ciectical Cnyineers GToup as Cv = 40.32 % The following data represent the results obtained from the specific gravity (S.G.) test performed ina soil laboratory including * ?for sand samples. Find the mode Number of Specific Gravity 2.30-2.39 Samples 2.40-2.49 2.50-2.59 4 6. 2.60-2.69 12 2.70-2.79 14 2.80-2.89 2 3.35-3.40 2.10-2.15 2.20-2.25 2.70-2.75 2.80-2.85 2.30-2.35 2,60-2.65 2.40-2,45 2.50-2.55 2.90-2.95 ارفع اجابتك بشكل ملف wdf او صورة 1O 0O 10 O O O O O