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.

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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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

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

and

Ha?

The null hypothesis,

H0,

▼

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,

▼

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

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.

Click to select your answer(s).

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