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- build an ONB from u1 = 1 8 6 u2 = 1 0 2 u3 = 0 2 1a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)A box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn.
- The manufacturer of large liquid crystal display (LCD) is difficult. Some defectsare minor and can be removed; others are unremovable. The number of unremovabledefects for each of n = 45 displays1 0 5 3 0 7 6 0 0 4 6 85 0 9 1 0 8 6 0 3 2 0 00 6 0 10 0 6 0 0 1 0 0 00 1 5 1 0 5 0 0 2has mean ̅ x= 2.667 and s = 3.057 unremovable defects. Conduct a test of hypothesis withthe intent of showing that the mean number of unremovable defects is less than 3.6. Take α= 0.025.2. Find the critical value of z for a hypothesis test if α = 0.025 for a right tail test. 2.575 1.645 2.33 1.28 correct answer is not givenResistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?
- A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. a)Determine fxy(X=4,Y=4). b)Determine fxy(X=4)A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent.A.) Determine fxy(X=4,Y=3).B.) Determine fxy(X=3,Y=4)C.) Determine fxy(X=4,Y=4)D.) Determine fxy(X=4)A manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. a)Determine fxy(X=4,Y=3). b)Determine fxy(X=3,Y=4). c)Determine fxy(X=4,Y=4). d)Determine fxy(X=4)
- An experimenter is studying the effects of temperature,pressure, and type of catalyst on yield from a certainchemical reaction. Three different temperatures, fourdifferent pressures, and five different catalysts are underconsideration.a. If any particular experimental run involves the use ofa single temperature, pressure, and catalyst, howmany experimental runs are possible?b. How many experimental runs are there that involve useof the lowest temperature and two lowest pressures?c. Suppose that five different experimental runs are tobe made on the first day of experimentation. If thefive are randomly selected from among all the possibilities,so that any group of five has the same probabilityof selection, what is the probability that adifferent catalyst is used on each run?5. To compare the gas mileage of 2 cars, you conduct 50 mileage tests on each of the 2 different cars. At α = 0.10, can you support the claim that car 1 gets better gas mileage than car 2. Data Car 1: µ = 28.3, s1 = 3.2 Car 2: µ = 28.7, s1 = 2.6 State the Ho, Ha, and the claim Group of answer choices Ho: m1 ≤ m2, Ha: m1 > m2 (claim) Ho: m1 ≥ m2 (claim), Ha: m1 < m2 Ho: m1 ≥ m2 , Ha: m1 < m2 (claim) Ho: m1 ≤ m2 (claim), Ha: m1 > m2If your critical value is ±2.7 then you are running a: unable to determine from this informationtwo tailed testright tailed testleft tailed test If your critical value is ±2.7 and the test statistic is 0.6 you would:unable to determine from this informationaccept the Hofail to reject the Horeject the Ho If your critical value is ±2.7 and the test statistic is 0.6 you would be:unable to show that the average is less than the claimunable to show that the average was different than the claimable to show that the average is less than the claimunable to show that the average was greater than the claimable to show that the average was greater than the claim If your critical value is ±2.2 then you are running a:left tailed testunable to determine from this informationtwo tailed testright tailed test If your critical value is ±2.2 and the test statistic is -0.9 you would:reject the Hofail to reject the Hounable to determine from this informationaccept the Ho If your critical value is ±2.2 and…