(a) The content volume of 10 car lubricants from Brand X were recorded as in Table 1. Using a=0.01, test the hypothesis that the average content volume of the Brand X car lubricants is 10 liters. Table 1: Content of containers for 10 car lubricants 9.9 10.3 10.2 10.1 9.7 9.9 9.8 10.3 10.0 10.4
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- Find the mean hourly cost when the cell phone described above is used for 240 minutes.6 8. 7. 6. 5. ) & «Previous O D. 704.3 rpm OC. 901.5 rpm O B. 450.7 rpm O A. 7.5 rpm puo Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm) does a tire make when the automobile is traveling at a speed of 59 feet per %24Find the coefficient of variation for the waiting times at Bank A and Bank B
- A type of casting iron has Hall-Petch parameters: σ0 = 36.3 MPa and K = 6.5 MPa ∙ mm^−0.5. For a given sample, the grain size distribution is shown in the diagram below. Each bar represents the percentage of grains in particular size. First, estimate the average grain size based on concept of “weighted mean” (in case you do not know, search for this term). Then, apply Hall-Petch Equation to calculate the yield stress. (Note: 1 μm = 0.001 mm)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 FDA regulates that fish that are consumed should contain no more than 1.0 mg/kg of mercury. In Florida, bass fish were collected in 24 different lakes to measure the amount of mercury in the fish ('Multi- disciplinary niser activity, 2013). The data for the average amount of mercury in the fish from each lake is in table below. Average mercury level in a lake 0.71 0.15 0.17 0.63 0.43 1.08 0.27 0.5 0.19 1.20 0.94 0.87 0.48 0.44 0.98 0.59 0.28 0.49 1.16 0.25 1.23 0.77 0.73 0.65 For the data shown above, find the following. Round values 3 decimal place (s). Select the correct units for each statistic.
- The length of fish were measured at 3 different lakes. Is there evidence to suggest that the average length is not the same at all 3 locations? Lake 1: 3.5, 4.2, 6.1, 5.2 Lake 2: 3.1, 3.2, 4.3, 2.1 Lake 3: 5.6, 7.1, 4.4, 4.1, 6.2 Enter the p-value (to 4 decimal places)A sample of average high temperature during July (x) of cities in Colorado compared to their elevation in feet (y) yields the following results: x 90 75 85 94 89 94 78 76 88 y 5280 9494 6035 4078 6191 4583 8000 8022 5807 Find x^2A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category. Current Smoker (≥1pack/day) Current Smoker (<1 pack/day Never Smoked 26.7 29.4 22.1 29.4 28.6 30.4 24.3 27.4 21.3 28.4 23.2 26.4 21.6 20.1 19.7 27.4 20.6 19.8 26.8 19.7 21.6 36.4 19.6 22.3 31.5 21.6 24.3 27.4 21.5 *Continue as though all assumptions for ANOVA are met. A) Calculate the MSW and MSB for the data represented above. B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
- A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 100 CEOS of major corporations. Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 15 mm Hg and that the researcher performs his hypothesis test using the 0.1 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) Н : μ is What are the null and alternative hypotheses that the researcher should use for the test? Н : μ is Assuming that the…A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOS) of major corporations. He believes that the mean systolic blood pressure, u, of CEOS of major corporations is more than 136 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 150 CEOS of major corporations. Suppose that the population of systolic blood pressures among CEOS of major corporations has a standard deviation of 16 mm Hg and that the researcher performs his hypothesis test using the 0.01 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.)In 2017, the entire fleet of light‑duty vehicles sold in the United States by each manufacturer must emit an average of no more than 9090 milligrams per mile (mg/mi) of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) over the useful life (150,000150,000 miles of driving) of the vehicle. NOX ++ NMOG emissions over the useful life for one car model vary Normally with mean 8484 mg/mi and standard deviation 66 mg/mi. (a) What is the probability that a single car of this model emits more than 9090 mg/mi of NOX ++ NMOG? (Enter your answer rounded to four decimal places.) (b) A company has 1616 cars of this model in its fleet. What is the probability that the average NOX ++ NMOG level ?¯x¯ of these cars is above 9090 mg/mi? (Enter your answer rounded to four decimal places.)