AlsoC) What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?D) Based on the p-value, there is no indication that the final average has improved from Grade 9 to Grade 10.Select one:TrueFalse Suppose we observe two independent random samples X₁,..., Xn, with eachXi N(μ₁,0²) and Y₁, ..., Yn with each Y; ~ N(H2, 02). We will assume that μ₁, ₂ ando²are unknown.We are given x = 10.1, y = 7.1, s = 5.5 and s = 6.4, with ₁=We would like to test the hypothesis Ho: M₁ = M2 versus H₁ M₁ M2.What test statistic should you use? You may assume the samples come from populations withequal variances.Select one:a.Z =b. T =C.X-Y0²√√1/n₁+1/m₂T =~13 and n₂ = 19.Sal√12differences d; = x₁ = y₁, i = 1, ..., 13.N(0, 1), where o² = 6.04.112, where d is the mean and S2 is the sample variance of pairedX-YSp√/1/n₁+1/n₂~ tm₁+12-2, where S is the pooled estimate of variance. What is the observed value of the teststatistic for the appropriate hypothesis testof Hoμ₁ = μ₂ versus H₁ : µ₁ ‡μ₂?Answer:

Let X and Y are the two independent random sample with each X∼Normal (μ1,σ2) and Y∼Normal…

Also C) What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test? D) Based on the p-value, there is no indication that the final average has improved from Grade 9 to Grade 10. Select one: True False

Also C) What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test? D) Based on the p-value, there is no indication that the final average has improved from Grade 9 to Grade 10. Select one: True False

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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Question

Suppose we observe two independent random samples X₁,..., Xn, with each
Xi N(μ₁,0²) and Y₁, ..., Yn with each Y; ~ N(H2, 02). We will assume that μ₁, ₂ and
o²are unknown.
We are given x = 10.1, y = 7.1, s = 5.5 and s = 6.4, with ₁
=
We would like to test the hypothesis Ho: M₁ = M2 versus H₁ M₁ M2.
What test statistic should you use? You may assume the samples come from populations with
equal variances.
Select one:
a.
Z =
b. T =
C.
X-Y
0²√√1/n₁+1/m₂
T =
~
13 and n₂ = 19.
Sal√12
differences d; = x₁ = y₁, i = 1, ..., 13.
N(0, 1), where o² = 6.04.
112, where d is the mean and S2 is the sample variance of paired
X-Y
Sp√/1/n₁+1/n₂
~ tm₁+12-2, where S is the pooled estimate of variance.

What is the observed value of the test
statistic for the appropriate hypothesis test
of Hoμ₁ = μ₂ versus H₁ : µ₁ ‡μ₂?
Answer:

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