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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Question
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?
Do not reject
H0
because the computed
tSTAT
test statistic is greater than the upper-tail critical value.Reject
H0
because the computed
tSTAT
test statistic is greater than the upper-tail critical value.Reject
H0
because the computed
tSTAT
test statistic is less than the upper-tail critical value.Do not reject
H0
because the computed
tSTAT
test statistic is less than the upper-tail critical value.Expert Solution
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