To assess the strength of the recycled concrete aggregated products, the measurements of the resiliency modulus (MPa) were collected on 20 selected specimens. Identify the unit, population of units, variable of interest, statistical population, and sample.
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- The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.The measurements of suspended solid material concentration in water samples is illustrated in the figure below. Determine approximately the IQR value of the data.
- Find the first and third quartile of these data, reference the information.High cholesterol is one of the major risk factors for heart disease. A total cholesterol reading above 190 mg/dL is considered high.A physician is concerned that a patient may be at risk for high cholesterol. In order to accurately measure the patient's average cholesterol level, the physician instructs the patient to come into the physician's office once a week for 12 weeks for a blood lipid screening. The results of the 12 measurements are listed below. 189 186 199 197 190 186 185 200 200 200 185 190 Use the critical value method to test the hypothesis that the patient's cholesterol level is greater than 190 mg/dL, using a significance level of 10%. Assume that the distribution of all cholesterol measurements from this patient is approximately normally distributed. Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.Determine the test…What is the SRS size ?
- What is the observational unit?When exposed to an infection, a person typically develops antibodies. The extent to which theantibodies respond can be measured by looking at a persons titer, which is a measure of the number of antibodies present. The higher the titer is, the more antibodies that are present. The data in Table represent the titers of 11 ill people and 11 healthy people exposed to the tularemia virus in Vermont. Is the level of titer in the ill group greater than the level of titer in the healthy group? Use the α = 0.10 level of significance.The amount of pollution produced by cars was measured for cars using gasoline containing different amounts of lead. A. Independent B. Dependent
- Find the four averages using the data for “Race Time” on the force.The haemoglobin level in g/dL for 14 pregnant women in Basra Maternity Teaching Hospital for the year 2019: 14.9 10.2 13.7 10.4 11.5 12.0 11.0 13.3 12.9 12.1 9.4 13.2 10.8 11.7 Q/ Calculate all the measures of central location and dispersion.How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Students doing a laboratory exercise sample 20 pieces of wood and find an average load capacity of 30,841 pounds. We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume the characteristics of materials vary normally. Suppose that the strength of pieces of wood like these follow a normal distribution with a population standard deviation of 3,000 pounds (As you can see all three necessary assumptions are met). a. Assuming that all evergreen wood has a known "load" capacity average of 30,000 pounds. Make a two-sided hypothesis (null and alternative statement) about Douglas Fir "load" capacity compared to the overall average. b. Apply the formula for finding our test statistic (show your work or describe the process) Specifically, use the formula for the z-statistic (pasted below and on…