7Suppose X₁, X, be two random sample from Beta(0,1) distribution. We want to testH:0>1 versus H,:0≤1If is be a test statistics related to critical region given by C=(x:x₁5x₂). Find the powerfunction and size of the test o. Is the test unbiased or no?

Answered: Image /qna-images/answer/1465fd9c-455c-4609-927b-1c000ff812fd.jpg

Answered: 7 Suppose X₁, X, be two random sample…

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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4) Suppose an x distribution with u = 12 and standard deviation 6. Consider two corresponding x distributions, the first based on sample size n = 36 and the second with sample size n = 64. a) What is the value of the mean and standard deviation of the two x distributions? First: Hx = Ox= - Ox=- Second: ux =
7. has been found that the distribution of the diameters of these tomatoes is roughly bell-shaped with light-tails. In order to test whether a new growth hormone produces larger tomatoes, a botanist decides to conduct a hypothesis test. If u denotes the true mean of tomatoes with the growth hormone and u2 denotes untreated tomatoes, then her hypotheses are Ho : 41 = µ2 vs. HA : µ1 > 42. She randomly samples 6 tomatoes, applies the new growth hormone to 3 of them, and measures the following diameters (in cm). Suppose that a certain species of tomato plant has been extensively studied. It Experimental Group 12.7 13.4 13.9 Control Group 9.7 10.4 13.1 (a) Explain why the two-sample t-test is the appropriate hypothesis test for the botanist to perform. (b) Based on the two sample t-test, is there sufficient evidence to reject Ho in favour of HA at the a = 0.15 significance level?
A two-sided test of hypothesis assumes that a normally distributed random variable X with mean of 102.83 and standard deviation of 12.23 with alpha - 5% for a sample of size 4. If the real mean is 115 compute the power of the test.
Q2
how to find the critical value for the two-tailed test with a=0.10. Thanks for the help!
SAT scores in one state is normally distributed with a mean of 1532 and a standard deviation of 200. Suppose we randomly pick 50 SAT scores from that state. a) Find the probability that one of the scores in the sample is less than 1492. P(X < 1492) = b) Find the probability that the average of the scores for the sample of 50 scores is less than 1492. P(X < 1492) =
8. It is claimed by an advertisement that 4 out of 5 kids have energy gap. To test this, a random sample of 250 children were tested if they experienced this `energy gap.' It was found out that 202 of them is experiencing it. Which among the values is the critical regions applicable for the test? Use 0.05 level of significance. a. z > 1.96 and z < -1.96 b. z < 1.96 and z > -1.96 c. z < -1.645 d. z > 1.645
Let x be a random variable that represents the concentration of iron in water. The EPA specifies that x has a normal distribution with o = 0.7. The company claims that the iron concentration population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an industrial | plant show an X = 2.48. а. Does this sample indicate a µ higher than that the company claims? (a = 1%) %3D b. Find a 95% confidence interval for u generated from the sample data.
The National Health and Nutrition Examination Survey reported in the recent year, the mean cholesterol level for U.S. adults was 202 with standard deviation of 41 (unit: mg/dl) A simple random sample of 110 adults are chosen. Let x¯ be the sample mean cholesterol with a) The probability that the sample mean cholesterol level of the sample of 110 is greater than 210 is P(x¯>210) = ["", "", "", ""] b) What is the probability that the sample mean is between 190 and 200: P(190<x¯<200) = ["", "", "", ""]
Consider the following set of three distributions, all of which are drawn to the same scale. Identify the two distributions that are normal. Of the two normal distributions, which one has the larger variation? Q 9 The two normal distributions are Ar 1. ^. where Ar 1) and (2) and (c) P) and (4) has the larger standard deviation.
d,e,f e) This result would be (usual, unusual) so the sample likely came from a population whose mean gestation period is(less, more, equal) to 266 days
DEx2)-Ex)(Exy) |t= (X- X)// Examus - cdn.student.uae.examus.net/?rldbqn=1&sessi... STAT-101 FEX_2021_2_Male State whether the question is true or false 4 - 30 -> 118:50 362 The degree of freedom of t-test for independent samples (where of & o are unknown and not assumed to be equal) with sample sizes n1=37 and n 43 is equal to 79. ce362d6 2dcf91 F-E <µ < i+E where E = Za/2• e362d ef917 Formulae Sheet STAT-101-2 d.f. = min (n– 1,n2 – 1) p – E

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7 Suppose X₁, X, be two random sample from Beta(0, 1) distribution. We want to test H:0>1 versus H,:0≤1 If is be a test statistics related to critical region given by C=(x:3x₁5x function and size of the test o. Is the test unbiased or no? x₁ ≤x₂ Find the power