An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.02, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem.
An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.02, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem.
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
An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At
α=0.02,
answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem.
|
|
(a) Identify the claim and state
H0
and
Ha.
The claim is "The new treatment
in the tensile strength of the bars."
▼
makes a difference
does not make a difference
What are
H0
and
Ha?
The null hypothesis,
.
The alternative hypothesis,
.
H0,
is
▼
mu 1 equals mu 2μ1=μ2
mu 1 less than or equals mu 2μ1≤μ2
mu 1 greater than or equals mu 2μ1≥μ2
Ha,
is
▼
mu 1 not equals mu 2μ1≠μ2
mu 1 greater than mu 2μ1>μ2
mu 1 less than mu 2μ1<μ2
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, H0
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
nothing
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
t<−t0, t>t0
t<−t0
t>t0
−t0<t<t0
(c) Find the standardized test statistic.
t=nothing
(Type an integer or decimal rounded to the nearest thousandth as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
▼
Fail to reject
Reject
(e) Interpret the decision in the context of the original claim.
At the
enough evidence to support the claim.
2%
significance level,
▼
there is not
there is
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