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...

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

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

and

The claim is​ "The new treatment

in the tensile strength of the​ bars."

What are

and

The null​ hypothesis,

is

The alternative​ hypothesis,

is

Which hypothesis is the​ claim?

​(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.

​(c) Find the standardized test statistic.

​(Type an integer or decimal rounded to the nearest thousandth as​ needed.)

​(d) Decide whether to reject or fail to reject the null hypothesis.

the null hypothesis.

​(e) Interpret the decision in the context of the original claim.

At the

significance​ level,

enough evidence to support the claim.