Assume that you have a sample of n1=8​, with the sample mean X1=41​, and a sample standard deviation of S1=6, and you have an independent sample of n2=14 from another population with a sample

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Answer D
 
Assume that you have a sample of
n1=8​,
with the sample mean
X1=41​,
and a sample standard deviation of
S1=6,
and you have an independent sample of
n2=14
from another population with a sample mean of
X2=34
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=2.942.94
​(Round to two decimal places as​ needed.)
b. In finding the critical​ value, how many degrees of freedom are​ there?
 
2020
degrees of freedom
​(Simplify your​ answer.)
c. Using a significance level of
α=0.01​,
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
2.532.53.
​(Round to two decimal places as​ needed.)
d. What is your statistical​ decision?
 
A.
Do not reject
H0
because the computed
tSTAT
test statistic is greater than the​ upper-tail critical value.
 
B.
Reject
H0
because the computed
tSTAT
test statistic is greater than the​ upper-tail critical value.
 
C.
Reject
H0
because the computed
tSTAT
test statistic is less than the​ upper-tail critical value.
 
D.
Do not reject
H0
because the computed
tSTAT
test statistic is less than the​ upper-tail critical value.
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