a. What is the value of the​ pooled-variance tSTAT test statistic for testing H0: μ1=μ2​?   tSTAT= ​(Round to two decimal places as​ needed.)   b. In finding the critical​ value, how many degrees of freedom are​ there?     degrees of freedom= ​(Simplify your​ answer.)   c. Using a significance level of α=0.005​, what is the critical value for a​ one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2?   The critical value is=

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Assume that you have a sample of
n1=8​,
with the sample mean
X1=49​,
and a sample standard deviation of
S1=6,
and you have an independent sample of
n2=12
from another population with a sample mean of
X2=36
and the sample standard deviation
S2=5.
 
Complete parts​ (a) through​ (d) below.
a. What is the value of the​ pooled-variance
tSTAT
test statistic for testing
H0: μ1=μ2​?
 
tSTAT=
​(Round to two decimal places as​ needed.)
 
b. In finding the critical​ value, how many degrees of freedom are​ there?
 
 
degrees of freedom=
​(Simplify your​ answer.)
 
c. Using a significance level of
α=0.005​,
what is the critical value for a​ one-tail test of the hypothesis
H0: μ1≤ μ2
against the alternative H1: μ1>μ2?
 
The critical value is=
 
 
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