Sketch a standard normal pdf illustrating the critical region having α = 0.05.
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A: Solution-: Let, Z-be the standard normal random variable We find, P(0<Z<0.2123)=?
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Sketch a standard normal
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- Please provide the NORMAL CURVE of the solutionWith α = .05, (two-tailed test) how are the boundaries for the critical region determined?Find the least square estimate for beta (the slope) given that its y-intercept is 0. Y_i = BetaX_i + e_i where e_i are independent and identically distributed N(0, variance_e) randon variables i = 1,...,2.
- Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"† investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. (a) What is the probability that the size of a single droplet is less than 1455 µm? At least 900 µm? (Round your answers to four decimal places.) less than 1455 µm at least 900 µm (b) What is the probability that the size of a single droplet is between 900 and 1455 µm? (Round your answer to four decimal places.)(c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The…If the alpha level is changed from a = 0.05 to a = 0.01, what happens to the critical region and what happens to the probability of a Type I error?Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1, 2, ..., ∞, p + q = 1. %3D Hence find the mean and variance.
- Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 μm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1350 μm? At least 975 μm? (Round your answers to four decimal places.) less than 1350 µm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1350 μm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…With a = .05, the two-tailed critical region for at test using a sample of n = 20 participants would have boundaries of %3D O t-12,136. Ot- +2.080,. Ot--2.093, Ot3 ±2.086.Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 μm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1440 µm? At least 975 μm? (Round your answers to four decimal places.) less than 1440 μm 9990 X at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1440 µm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest…
- How do I find the expected value of x given its PDF and an unknown positive normalizing constant?Show that the normal distribution has(a) a relative maximum at x = μ;(b) inflection points at x = μ − σ and x = μ + σ.If the alpha level changed from a=0.05 to a=0.01, what happens to the critical region and ehat happens to the probability of type 1 error