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, 52 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 91.3 kilograms with a standard deviation of 6.31 kilograms, while type B thread had an average tensile strength of 79.5 kilograms with a standard deviation of 4.67 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. O A. Ho: H1 -H2 # 13 H1: 41 - H2 = 13 B. Ho: H1 - H2 = 13 H1: H1- 42> 13 O C. Ho: H1 - H2 < 13 H1:1-H2 = 13 O D. Ho: H1 -H2 = 13 H1: H1 - H2<13 O E. Ho: H1 - H2 = 13 H1: H1- H2#13 O F. 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'< O B. t'< or t'> YC. t'> 1.29 Find the test statistic. (Round to two decimal places as needed.)

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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 13
kilograms. To test this claim, 52 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile
strength of 91.3 kilograms with a standard deviation of 6.31 kilograms, while type B thread had an average tensile strength of 79.5 kilograms
with a standard deviation of 4.67 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.
A. Ho: H1- H2 # 13
H1: H1 - H2 = 13
B. Ho: H1 - H2 = 13
H1: H1 -H2> 13
C. Ho: H1 - H2<13
H1: H1 - H2 = 13
D. Ho:H1-H2 = 13
H1: H1 - H2 < 13
E. Ho: H1 - H2 =13
H1: 41 - H2# 13
O F. 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. t'<
or t'>
C. t'> 1.29
Find the test statistic.
(Round to two decimal places as needed.)
Enter vOur answ er in the answer box and then click Check Ans wer
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 13 kilograms. To test this claim, 52 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 91.3 kilograms with a standard deviation of 6.31 kilograms, while type B thread had an average tensile strength of 79.5 kilograms with a standard deviation of 4.67 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. A. Ho: H1- H2 # 13 H1: H1 - H2 = 13 B. Ho: H1 - H2 = 13 H1: H1 -H2> 13 C. Ho: H1 - H2<13 H1: H1 - H2 = 13 D. Ho:H1-H2 = 13 H1: H1 - H2 < 13 E. Ho: H1 - H2 =13 H1: 41 - H2# 13 O F. 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. t'< or t'> C. t'> 1.29 Find the test statistic. (Round to two decimal places as needed.) Enter vOur answ er in the answer box and then click Check Ans wer
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