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=0.10, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 449 354 450 360 433 388 400 Conventional 370 376 374 424 378 450 438 404 352 376 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null 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 . The alternative hypothesis, 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 null hypothesis, H0 The alternative hypothesis, Ha (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. A. t>t0 B. −t0t0 (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 the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 10% significance level, ▼ there is not there is enough evidence to support the claim.
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=0.10, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 449 354 450 360 433 388 400 Conventional 370 376 374 424 378 450 438 404 352 376 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null 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 . The alternative hypothesis, 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 null hypothesis, H0 The alternative hypothesis, Ha (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. A. t>t0 B. −t0t0 (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 the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 10% significance level, ▼ there is not there is enough evidence to support the claim.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Topic Video
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=0.10,
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 null hypothesis, H0
The alternative hypothesis, Ha
(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
−t0<t<t0
t<−t0
t<−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.
10%
significance level,
▼
there is not
there is
Click to select your answer(s).
|
|
|
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill