b)Let X₁, X2, X3.....Xn be a random sample of n from population X distributed with the followingprobability density function:ze zo,f(x;0)=√2m00,(i)Find the parameter space of 0.(ii) Find the maximum likelihood estimator of 0.if -∞

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Answered: (i) Find the parameter space of 0. (ii)…

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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One consumer wants to know if the average number of chips is less than 45 in a bag of Red Bird potato chips. A random sample of 100 was selected and the sample statistics werex=41.6 and s = 7.6. (i) What is the standard error of x? (ii) Using one or two sentences, briefly describe the Central Limit Theorem (CLT) for the sample mean. (ii) Does CLT hold for this test? Explain your reasoning. (iv) State the hypotheses for the test. (v) Give a 90% CI (3 d.p.) for the average amount of chips in each bag (The margin of error is 1.262). (vi) Interpret your Cl in part (iv) in context. (vii) Make a decision and conclusion based on your Cl in part (v).
Please answer the Q2 and Q3.
Using The t Distribution Table, find the critical value(s) for the t test for a left-tailed test with n=20 and α =0.01. Enter the answers separated by a comma if needed. Critical value(s)=
At an art store, the mean sale amount is $1250 per customer. The owner thinks that the mean sales amount increases during promotion. A random sample of 45 paintings purchased during a promotion was selected, the sample mean sales amount is x¯=1315. Assume σ=$155. How can I implement the hypothesis test to check if the mean sales amount increases during promotion, and let α=0.01. I want to solve by both P-value method and reject region method.
2) Let X₁, X2, X3, X4 be a random sample of size 4 from a population with the following distribution function Where, ß > 0. If fram e ¹- {** f(x;0)=B for x > 4 otherwise "1 g) What is the maximum likelihood estimator of g (B) = 2(ß + 1). h) Is the maximum likelihood estimator of g (B) = 2(B + 1) unbiased or not?
part iii (i already asked part i and part ii)
18. Show that for type lII population - x/0 dp O
A coin was flipped 69 times and came up heads 39 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: ππ ≤ .50 versus H1: ππ > .50. Choose the appropriate decision rule at the .10 level of significance. Reject H0 if z > 1.282 Reject H0 if z < 1.282 a b (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer to 3 decimal places.) Test statistic (a-3) The null hypothesis should be rejected. False True (a-4) The true proportion is greater than .50. False True (b-1) Find the p-value. (Round your answer to 4 decimal places.) p-value (b-2) Is the coin biased toward heads? No Yes
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133133 to 190190 cm and weights of 3737 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=168.08168.08 cm, y overbaryequals=81.5781.57 kg, requals=0.3130.313, P-valueequals=0.0020.002, and ModifyingAbove y with caretyequals=negative 108−108plus+1.121.12x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 169169 cm tall. Use a 0.050.05 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 169169 cm tall is (answer) kg. (Round to two decimal places as needed.)
Exercise 2. A r.v. X is Poisson distributed with parameter λ = 5.5. (a) Calculate the probability that X = 3. (b) Calculate the probability that X < 2. (c) What is the most likely (i.e. highest probability) value for X ? (You can make a graph of f(x) to find the answer).
please show the step by step solution and provide an explanation on why that is the right answer. Please do not skip steps.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 131131 to 194194 cm and weights of 4141 to 150150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x overbarxequals=167.50167.50 cm, y overbaryequals=81.4381.43 kg, requals=0.4180.418, P-valueequals=0.0000.000, and ModifyingAbove y with caretyequals=negative 105−105plus+1.191.19x. Find the best predicted value of ModifyingAbove y with carety (weight) given an adult male who is 150150 cm tall. Use a 0.100.10 significance level. The best predicted value of ModifyingAbove y with carety for an adult male who is 150150 cm tall is nothing kg. (Round to two decimal places as needed.)

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(i) Find the parameter space of 0. (ii) Find the maximum likelihood estimator of 8. O