5.3.8. Let Y be b(n, 0.55). Find the smallest value of n such that (approximately) P(Y/n>) ≥ 0.95.
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- they take samples of 4 fireworks for quality co from and examine them for defects. let X be the number of defective fireworks in the sample of 4.Find the length of the curve over the given interval. r = 8, [0, π/6]1. A T interval for the difference of 2 population means was obtained on the TI, as shown below. What can be concluded?
- A 6-foot sub valued at $25 is divided among five players (P1, P2, P3, P4, P5) using the last diminisher method. The players play in a fixed order, with Pl first, P2 second, and so on. I round 1, P1 makes the first cut and makes a claim on a C-pièce. For each of the remaining players, the value of the current C-piece at the time it is their turn is given in the following table: a.) What is the fair share for each player? Show your work in the space provided below. b.) What does player 2 do with the piece and why? c.) What does player 3 do with the piece and why? d.) What does player 4 do with the piece and why? e.) What does player 5 do with the piece and why? £) Who gets the piece at the end of round 2 and why is it that person? g.) What is the value of the piece?5. Find the area of a parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x, and the line parallel to f (x) passing through (2, 7).Let {Xi} from i to n be IID from Bernoulli(p). Find the MQ estimator of p.
- Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.Compute the upper and lower limits for the following data at a 95% CI, when M1 = 20, M2 = 15, t = 2.145 (this is the t-value you would get from the table), and S(M1-M2) = 1.34.An SRS of 100 flights by Speedy Airlines showed that 64 were on time. An SRS of 100 flights by Happy Airlines showed that 80 were on time. Let pS be the proportion of on-time flights for all Speedy Airline flights, and let pH be the proportion of all on-time flights for all Happy Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines? To determine this, you test the hypotheses H0 : pS – pH 0, Ha : pS – pH 0. The P-value of your test is 0.0117. Which of the following is an appropriate interpretation of the P-value? a. If the on-time rates for the two airlines are equal, there is a 0.0117 probability of getting samples with a difference as far or farther from zero as these samples. b. If the on-time rates for the two airlines are not equal, the probability of getting samples with a difference as far or farther from zero as these samples is 0.9883. c. The probability of making a Type I error is 0.0117. d. The probability of making a Type II error…
- 12) Find the clamped cubic spline for the data (1.1).(3,4), using that f'(1) - 2.f(3) = 5With Ha : μ >> 174you obtain a test statistic of z=1.319z=1.319. Find the p-value accurate to 4 decimal places.p-value =To increase egg production, a farmer decided to increase the number of times the lights in his henhouse were on. Ten hens were randomly selected, and the number of eggs each produced was recorded. After one week of lengthened light time, the same hens were monitored again. The data is given here. At α = 0.05, can it be concluded that the increased light time increased egg production? Hen 1 2 3 4 5 6 7 8 9 10 Before 4 3 8 7 6 4 9 7 6 5 After 6 5 9 7 4 5 10 6 9 6