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A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 11 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 83 4 kilograms with a standard deviation of 6.11 kilograms, while type B thread had an average tensile strength of 75.4 kilograms with a standard deviation of 5.84 kilograms. Test the manufacturer's claim using a 0.05 level of significance. Do not assume that the population variances are equal.

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 11 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 83 4 kilograms with a standard deviation of 6.11 kilograms, while type B thread had an average tensile strength of 75.4 kilograms with a standard deviation of 5.84 kilograms. Test the manufacturer's claim using a 0.05 level of significance. Do not assume that the population variances are equal.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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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. O A. Ho H4- H2# 14 H1 H1 - H2 = 14 OD. Ho H-H2> 14 H, H - 12 = 14 B. Ho H - 42 = 14 OC. Ho H1 -42 = 14 H -2 14 OF. H H1-H2 = 14 H -12 > 14 OE Ho H-H2 14 H, -2=14 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) XA. I'< or t'> B. t'> 1.66 Oc. t'< Find the test statistic 2.73 (Round to two decimal places as needed)
Transcribed Image Text: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. O A. Ho H4- H2# 14 H1 H1 - H2 = 14 OD. Ho H-H2> 14 H, H - 12 = 14 B. Ho H - 42 = 14 OC. Ho H1 -42 = 14 H -2 14 OF. H H1-H2 = 14 H -12 > 14 OE Ho H-H2 14 H, -2=14 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) XA. I'< or t'> B. t'> 1.66 Oc. t'< Find the test statistic 2.73 (Round to two decimal places as needed)
A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 11 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 83.4 kilograms with a standard deviation of 6.11 kilograms, while type B thread had an average tensile strength of 75.4 kilograms with a standard deviation of 5.84 kilograms. Test the manufacturer's claim using a 0.05 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
Transcribed Image Text:A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 11 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 83.4 kilograms with a standard deviation of 6.11 kilograms, while type B thread had an average tensile strength of 75.4 kilograms with a standard deviation of 5.84 kilograms. Test the manufacturer's claim using a 0.05 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
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