I need help with stats/2023/ section 8.1 and 8.2, please help with TI-84 commands, I appreciate your help :)

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 =0.05,

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 milimeter)------

experimental --------- 425 364 397 369 419 419 353

conventional---------- 420 421 382 367 447 413 427 404 446 402

identify the claim and state the H0 and Ha.

The claim is that "the new treatment ( 1) __________________ (makes a difference or does not make a difference) in the tensil strength of the bars."

The null hypothesis, H0 is (2) __________________ (U1 U2). The alternative hypothesis, Ha is ( U1 U2)__________________ (3).

Which hypothesis is the claim?

The alternative Hypothesis, Ha

or

The null hypothesis, H0

(b)find the critical value(s) below.

____________________ (type on integer or decimal rounded to 3 decimal places as needed, use a comma to separate answers as needed)

select the correct choice below

A. -t0 < t

B. t>t0

C. t < -t0, t >t0

D. t < -t0

(c) find the standardized test statistic

t= ___________ (type an integer or decimal rounded to the nearest thousandth as needed)

(d) decide whether to reject or fail to reject the null hypothesis as needed

4. ______________________________ (fail to reject or reject) the null hypothesis.

interpretation

AT the 5% significance level, _____________________________ ( there is or there is not) enough evidence to support the claim.