Calculate the MP and UMP test of H0:θ≤1 versus H1:θ >1 for a random sample of 40 from Log-normal(0,θ), at the significance level α=.05.
Calculate the MP and UMP test of H0:θ≤1 versus H1:θ >1 for a random sample of...
Can anyone help me with this problem? Thank you! 7. Let X1,.. , Xn denote a random sample from (1-9)/0 x; Test Ho: θ Bo versus H1: θ θο. (a) For a sample of size n, find a uniformly most powerful (UMP) size-a test if such exists. (b) Take n-?, θ0-1, and α-.05, and sketch the power function of the UMP test. 7. Let X1,.. , Xn denote a random sample from (1-9)/0 x; Test Ho: θ Bo versus H1:...
Let X be a sample of size 1 from a Lebesgue p.d.f. fo. Find a UMP test of size α (0, ) for Ho : θ--θ : θ-0, in the o versus H1 tollowing case: Let X be a sample of size 1 from a Lebesgue p.d.f. fo. Find a UMP test of size α (0, ) for Ho : θ--θ : θ-0, in the o versus H1 tollowing case:
Let X1, . . . , Xn ∼ Geo(θ), f(x)= θ(1-θ)^x, and we wish to test H0 : θ ≤ 1/3 vs H1 : θ > 1/3. a) Using the full sample, X1....Xn, find the form of the UMP test for the hypotheses H0: θ=1/3 vs H1: θ=1/2. b)If n=15 and α = 0.1, what is the rejection region and the size of test in (a)?
#1 part A.) To test H0: μ=100 versus H1: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. (aa.) If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in...
Let X be a sample of size 1 from a Lebesgue p.d.f. fe. Find a UMP test of size α (0, ) for Ho : θ-Bo versus Hi : θ-A in the following cases: (a) foo)+( and fo, (x) ) Let X be a sample of size 1 from a Lebesgue p.d.f. fe. Find a UMP test of size α (0, ) for Ho : θ-Bo versus Hi : θ-A in the following cases: (a) foo)+( and fo, (x) )
3. Let Xi, ,X, be i.id. from a normal distribution N(1,0), for θ > 0, Find a UMP test of size α for testing Ho : θ < θο versus H1 : θ > θο. 3. Let Xi, ,X, be i.id. from a normal distribution N(1,0), for θ > 0, Find a UMP test of size α for testing Ho : θ θο.
To test H0: σ = 40 versus H1: σ < 40, a random sample of size n=27 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s = 28.8, compute the test statistic (b) if the researcher decides to test this hypothesis at the a=0.05 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis?
. Let Yi.... Yn be a random sample from a distribution with the density function 393 fe(y) =- Is there a UMP test at level α for testing Ho : θ test? vs. Hi : θ > 6? If so, what is the . Let Yi.... Yn be a random sample from a distribution with the density function 393 fe(y) =- Is there a UMP test at level α for testing Ho : θ test? vs. Hi : θ >...
A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...