Suppose that a measure X on a population takes values z e X ={1,2,3, 4} and we have the following statistical model for X:fo, (x) 2/5fo,(x) | 2/5I =1 r= 2 x= 3 r =41/15 1/15 7/151/31/5 1/15Determine the UMP size 0.10 test for testing Ho : 0 = 0, versus H1 : 0 = 02. What isyour conclusion if you observe z = 4? i.e. do you reject Ho or not ? Explain why.

A measure X on a population takes values .The following statistical model for X are…

Answered: Suppose that a measure X on 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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You wish to test Ho: M₁ = μ₂ versus Ha:μ₁ < μµ₂ at a = 0.01. You obtain a sample of size n₁ = 12 = with a mean of 1 82.7 and a standard deviation of $1 sample of size n₂ = 9 with a mean of 2 = 84.9 and a standard deviation of $2 population. Assume that the populations are normal with equal variances. 14.2 from the first population. You obtain a = © 20.1 from the second Do not round interim calculations. Round your final answers to three decimal places. (a). Find the test statistic: (b). Using your answer from (a), find the p-value: = (c). You Select an answer the null hypothesis. (d). There is Select an answer evidence to conclude the first population mean is less than the second population mean
Let X. X , be a random sample of siren from a normal distribution with population mean 0 and population variance a>Ois unknown, that is N(0, ). Suppose that we define the following plvotal quantity (n-1)s where & and S' are the sample mean and the sample variance, respectively. Use the plvotal quantity (Q) to derive the (1- a) 100% confidence interval (C) for the unknown parameter (o) if the two critical values are q--n, a) and (n-1) (A) CI = (n8+(n-1)51 + n-1) s (8) CI - (C) CI - + (n-1) s (D) CI= O D O A O c O B
A sample of n = 16 scores is obtained from a population with μ = 70 and σ = 20. If the sample mean is M = 80, what is the z -score for the sample mean?
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57. (a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (Use 2 decimal places.) lower limit upper limit
For a two-tailed independent samples t test with a = 0.05 and N1 = 30 & N2 = 32, the critical value(s) should be t?
Calculate the test-statistic, t with the following information for a Two Independent Samples t Test with Ha:μ1-μ2≠0. Be sure to first determine if you need to pool or not.n1=60, ¯x1=2.53, s1=0.53n2=50, ¯x2=2.69, s2=0.96Round to 3 decimal places. t =__________ It is pool or not?________
A population has a mean of µ = 20. A sample is selected from this population and a treatment is administered to each individual in the sample. The scores from this sample are summarized as follows: n = 16 ,X = 28 ,s2 = 64. Do the sample data support the conclusion that the treatment has a significant effect? Test with α = .05.
We want to test the relative efficacy of a new cholesterol lowering drug A versus existing drug B. We randomize nĄ subjects with high cholesterol to take treatment A and ng subjects to take treatment B. After a l-month followup, we measure cholesterol levels in both groups. Suppose the data in the two groups are independent and YA,Y;ª,..., YA N(µA, o²) and YB,YB,.., Y,B iid N(µB,0²), where o? = 9 is known. Let Y4 and YB be the sample average cholesterol level in group A and B. 1. What is the distribution of the difference in sample means: Â =Ÿª-ŸB? Hint: what is the distribution of each group's sample average? What do we know about linear combinations of normal RVs? 2. Let A = µA - µB be the true difference in cholesterol levels in populations treated with Â-A A versus B. What is the distribution of Z = ? Vo2/na+o²/ng 3. Suppose YA = 20 and YB = 26 with na = nB = 36. Conduct an a = .05 significance level test of Ho : A = 0 versus Ha : A # 0. Do you reject or fail to reject the null at…
= 3 versus Example: In a two sample test of Ho: ₁-2 H₁₁-23, suppose that the data are normal, m = n and o² = 0 = 84.0. Can we choose m such that the test has level a = 0.01 and 3 = 0.05 at 1₁ - ₂ : 5.0? This question concerns experimental design.
Find the corresponding z-score for a sample of n = 16 and M = 38 taken from a population with a mean of μ= 40 and σ = 8.
You obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?
Please solve this question.Thanks for your help :)

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