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- If you apply two steps of the Secant Method to x3 = 2x + 2 initial guesses x0 = 1 and x1 = 2, Then x2 = _________ and x3 = __________ in rounding in four dicimal places.4. The lifetime, in years, of a type of small electric motor operating under adverse conditions is T ~Γ(6, 3.6). Whenever the motor fails, it is replaced with another of the same type. Find theprobability that fewer than 6 motors fail within one year.If H1: μ1 – μ0 < 0, then zobs = -1 has a lower p-value than zobs =1. True or false?
- FOR N=195, by fermat's theorem an-2 =We now need to attempt to find an exact value for n such that P(r ≥ 1) = 0.99. Clearly, if the bank has any chance of detecting a burglar they will need to have at least one alarm installed. So, we know that, minimally, n must be at least 1.Since n must be at least 1, suppose we start by trying n = 2, where there will be two alarms. When there are two alarms, r ≥ 1 means either one or both alarms could detect the burglar. If neither alarm detects the burglar it is considered a failure. Therefore, P(r ≥ 1) can be calculated using either of the following formulas. P(r ≥ 1) = P(1) + P(2) P(r ≥ 1) = 1 − P ( ___ ) fill in the blank18. Redo. The answers did not turn out to be Pvalue .202, power .95, n1 n2 11. They showed up as being wrong. What are the right answers to this problem?
- Suppose we find enough evidence against the H0below. Write the appropriate step C.N. H0: μ ≤ 8A. Ha: μ > 8Based on our conclusion, what type of error mightwe have made?Suppose X~N(118,11), and Z~N(0,1). Then x = 114, is equivalent to z = ______. (Round your answer to 2 decimal places, ex: 0.12)(a)analytically (b) For n=5, calculate by applying Simpson's 1/3 and 3/8 rule together. Analytical Also get the actual error using the solution.
- A national consumers’ association determines that x years after its founding in 1998, it will have P(x) members, where P(x) = 2x3 - 45x2 + 264x in hundreds. a). When was the membership the largest between 2000 and 2013, that is, 2 < t < 15? b). When was the membership the smallest between 2000 and 2013, that is, 2 < t < 15?Suppose now that you have good arguments to say that the association between X andC (the unobserved confounding factor, here IQ at age 3), measured by γCX, is of a similarmagnitude as the association between X and A, measured by γAX — which you can computein your data (since A is observed). Would this new condition (γCX = γAX). Why?Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as
