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 a = 0.01, 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 419 423 415 417 363 385 364 Conventional 444 361 407 415 432 358 410 410 363 406 (a) Identify the claim and state Ho and Ha The claim is "The new treatment in the tensile strength of the bars."

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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part d. decide wheater to reject of fail to reject the null hypothesis

part e. Interpret the decision in context of the original 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 x = 0.01, 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 419 423 415 417 363 385 364
Conventional 444 361 407 415 432 358 410 410 363 406
(a) Identify the claim and state Ho and Ha
The claim is "The new treatment
in the tensile strength of the bars."
Transcribed Image Text: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 x = 0.01, 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 419 423 415 417 363 385 364 Conventional 444 361 407 415 432 358 410 410 363 406 (a) Identify the claim and state Ho and Ha The claim is "The new treatment in the tensile strength of the bars."
(a) Identify the claim and state Ho and Ha
The claim is "The new treatment
What are Ho and H₂?
The null hypothesis, Ho, is
in the tensile strength of the bars."
Which hypothesis is the claim?
/T
The alternative hypothesis, H₂, is
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
The null hypothesis, Ho
The alternative hypothesis, Ha
t =
Select the correct rejection region(s) below.
OA. t< - to, t>to
B. t> to
c. -to <t<to
O D. t< - to
(c) Find the standardized test statistic.
Transcribed Image Text:(a) Identify the claim and state Ho and Ha The claim is "The new treatment What are Ho and H₂? The null hypothesis, Ho, is in the tensile strength of the bars." Which hypothesis is the claim? /T The alternative hypothesis, H₂, is (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. The null hypothesis, Ho The alternative hypothesis, Ha t = Select the correct rejection region(s) below. OA. t< - to, t>to B. t> to c. -to <t<to O D. t< - to (c) Find the standardized test statistic.
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