Solve number 5 in a simple way and explain it too 4. The average GPA of a high school is 2.86. Suppose that the population is normally distributed with a o2.86 will be performed with a sample of= .7 and a test of hypothesis Ho: μ = 2.86 versus Hasize 8. Construct the rejection region for the test for the choice a = .01X=2.86Ho: M=a.+2.58 (from 2table) Hn critical value isAME2.86-2.86042.58 fail to reject I0.75. The average number of skittles in a bag is 42. Suppose that thewith a σ = 5 and a test of hypothesis Ho: = 42 versus Hasample of size 7. Construct the rejection region for the test for the choice α = .1There is not sufficient eviden-population is normally distributed<42 will be performed with ahttps://www.teacherspayteachers.com/Store/My-Geometry-World

Given data : sample size, n = 7 population standard deviation,σ= 5 population mean,μ= 42…

Answered: 5. The average number of skittles in a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If you let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assuming the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4 and you test the null hypothesis H0: μ1 = μ2 = μ3 = μ4, using seven observations of each Xi, what would be the critical region for an alpha = 0.05 significance level?
From exercise 9-15 Find the boundary of the critical region if the type I error probability is a) alpha = 0.01 and n = 10 b) alpha = 0.05 and n=10 c) alpha = 0.01 and n=16 d) alpha = 0.05 and n=16 From exercise 9-15 standard deviation = 20 H0: mu = 175 H1: mu >175
If I have a sample mean less than 30 at alpha= 0.05. What is the critical value using the Z table
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school, 70% were enrolled in college. At α=0.07, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). Find the critical value(s) and identify the rejection region(s).
. In general, a ____ t-statistic and a _____ p-value (relative to a chosen critical value and alpha) indicate that our estimated statistic is ____ to occur by chance if the null is true. a. Large; large; likely b. Small; large; likely c. Small; small; unlikely d. Large; large; likely
If X1 and X2 constitute a random sample of size n = 2from an exponential population, find the efficiency of 2Y1relative to X, where Y1 is the first order statistic and 2Y1and X are both unbiased estimators of the parameter
What is the critical t value for a one sided test for alpha = .10? Imagine you are using a one-sample t test and your sample size is 15. A) 1.350 B) 1.345 C) 1.341 D) 1.337
Consider the following two formulations of the bivariate PRF, where ui and εi are both mean-0 stochastic disturbances (i.e random errors): yi = β0 + β1xi + u yi = α0 + α1(xi − x¯) + ϵ a) Write the OLS estimators of β1 and α1. Are the two estimators the same? b) What is the advantage, if any, of the second model over the first?
In each of the following problems (a) state, the null and the alternative hypothesis (b) compute the test statistic, (c) determine the critical value and sketch the rejection region and the non-rejection region using the normal curve. 1. The cashier of a fast-food restaurant claims that the average amount spent by customers for dinner is Php120.00. A sample of 50 customers over a month was randomly selected, and it was found out that the average amount spent for dinner was Php122.50. Construct the critical regions using a 0.05 level of significance to conclude that the average amount spent by customers is more than Php120.00. Assume that the population standard deviation is Php6.50.
Let X1,...,Xn be iid exponential(θ) random variables. Derive the LRT of H0 : θ = θ0 versus Ha : θ 6= θ0. Determine an approximate critical value for a size-α test using the large sample approximation.
37- An expert estimates that the distribution parameter for durability times of parts produced with machine A in the factory is different from the distribution parameter for durability times of parts produced with machine B. Durability times of 7 parts produced from machine A and 7 parts produced from machine B are given below. Accordingly, find the Mann Whitney U critical table value required to test the expert's claim at a = 0.05 significance level. a) 12 B) 14 c) 16 D) 18 e) 21
Consider a real random variable X with zero mean and variance σ2X . Suppose that wecannot directly observe X, but instead we can observe Yt := X + Wt, t ∈ [0, T ], where T > 0 and{Wt : t ∈ R} is a WSS process with zero mean and correlation function RW , uncorrelated with X.Further suppose that we use the following linear estimator to estimate X based on {Yt : t ∈ [0, T ]}:ˆXT =Z T0h(T − θ)Yθ dθ,i.e., we pass the process {Yt} through a causal LTI filter with impulse response h and sample theoutput at time T . We wish to design h to minimize the mean-squared error of the estimate.a. Use the orthogonality principle to write down a necessary and sufficient condition for theoptimal h. (The condition involves h, T , X, {Yt : t ∈ [0, T ]}, ˆXT , etc.)b. Use part a to derive a condition involving the optimal h that has the following form: for allτ ∈ [0, T ],a =Z T0h(θ)(b + c(τ − θ)) dθ,where a and b are constants and c is some function. (You must find a, b, and c in terms ofthe information…

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5. The average number of skittles in a bag is 42. Suppose that the population is normally distributed with a o = 5 and a test of hypothesis Ho: H = 42 versus Ha sample of size 7. Construct the rejection region for the test for the choice a = .1 <42 will be performed with a