A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 13 kilograms. To test this claim, 48 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 82.9 kilograms with a standard deviation of 7.12 kilograms, while type B thread had an average tensile strength of 72.1 kilograms with a standard deviation of 5.54 kilograms. Test the manufacturer's claim using a 0.10 level of significance. Do not assume that the population variances are equal. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let type A thread correspond to population 1 and let type B thread correspond to population 2. Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho H1 H2 = 13 H₁: H1-H213 OB. Ho H1 H2> 13 H₁: H1 H2 13 C. Ho HH2 =13 H₁: H1 H213 OD. Ho H1 H2 <13 H1 H1-H2=13 OE. Ho H1 H2 #13 H₁: H1-H2=13 OF. Ho H1 H2 = 13 H1 H1 H2 13 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. t'> B. O c. t'< t' < <☐ or t'>
A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 13 kilograms. To test this claim, 48 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 82.9 kilograms with a standard deviation of 7.12 kilograms, while type B thread had an average tensile strength of 72.1 kilograms with a standard deviation of 5.54 kilograms. Test the manufacturer's claim using a 0.10 level of significance. Do not assume that the population variances are equal. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let type A thread correspond to population 1 and let type B thread correspond to population 2. Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho H1 H2 = 13 H₁: H1-H213 OB. Ho H1 H2> 13 H₁: H1 H2 13 C. Ho HH2 =13 H₁: H1 H213 OD. Ho H1 H2 <13 H1 H1-H2=13 OE. Ho H1 H2 #13 H₁: H1-H2=13 OF. Ho H1 H2 = 13 H1 H1 H2 13 Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. t'> B. O c. t'< t' < <☐ or t'>
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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