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- Read measurements a-h on the enlarged 32nds and 64th graduated fractional rule shown in Figure 38-3.Read measurements w-z on the enlarged fractional rule shown in Figure 30-13.2.A machine puts out 16 imperfect articles in a sample of 500.After themachine is overbauled it turns 3 imperfect articles in a batch of 100.Has themachine improved?
- Is it possible to make a X-Bar and R control chart without a data set? I'm told to solve it by hand, but am unsure of how to do that with only the summation notationa. Suppose X ~N(3.7, 1.28). Let Y = -0.5X + 14. Then, P(X <= 5.0) =?, E(Y ) =?, and V(Y ) =?. b. Flip a balanced die 5 times. Let X be the total number of 5 or 6. Then, X ~?, E(X) =?, and V(X) =?.Individual A has a red die and B has a green die (both fair). If they each roll until they obtain five "doubles" (1-1,...,6-6), what is the pmf of X (= the total number of times a die is rolled)? What are E(X) and V(X)?
- The article “n-Nonane Hydroconversion on Ni and Pt Containing HMFI, HMOR and HBEA” (G. Kinger and H. Vinek, Applied Catalysis A: General, 2002:139–149) presents hydroconversion rates (in μmol/g · s) of n-nonane over both HMFI and HBEA catalysts. The results are as follows: HMFI: 0.43 0.93 1.91 2.56 3.72 6.19 11.00 HBEA: 0.73 1.12 1.24 2.93 Can you conclude that the mean rate differs between the two catalysts?Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. If x(0)=5 kg and y(0)=4 kg, how much is salt in each tank after t minutes? As t→∞, how much salt is in tank 1? How much salt is in tank 2?Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. What would a system of first order of differential equations look like for this situation?
