ubjecting them to various tests. The results from the most recent random sample of ropes are shown below. ssuming the population of tensile strengths for each line is approximately normally distributed with equal variances, can the manufacturer conclude there is a difference etween the mean tensile strengths of ropes produced on the two lines? Conduct the appropriate hypothesis test at the 0.10 level of significance. Line 1 X1 = 7,083 lb Line 2 X2 = 7,014 lb S1= 435 S2= 420 n, = 15 n2 = 30 /hat are the appropriate hypotheses to test? DA. Họ H- 250 O B. Ho H1- 2 = 0 Ha H-2 #0 OC. Ho H1-42>0 Hai HI -H250 OF. Ho H-220 DD. Ho H1- P2 <0 O E. Ho H-Pz# 0 HA H-2 20 HA H1- 2 =0 etermine the rejection region for the test statistict. Select the correct choice below and fill in the answer box to complete your choice. Round to four decimal places as needed.) DA. t« OB. t< | or t>O DC. t>

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A manufacturer of mountaineering equipment produces traditional three-strand climbing rope on two separate production lines, line 1 and line 2. The manufacturer regularly tests the tensile strength of its ropes by randomly selecting ropes from production and
subjecting them to various tests. The results from the most recent random sample of ropes are shown below.
Assuming the population of tensile strengths for each line is approximately normally distributed with equal variances, can the manufacturer conclude there is a difference
between the mean tensile strengths of ropes produced on the two lines? Conduct the appropriate hypothesis test at the 0.10 level of significance.
Line 1
Line 2
X1 = 7,083 lb
S1 = 435
n, = 15
X2 = 7,014 lb
S2 = 420
n2 = 30
What are the appropriate hypotheses to test?
O C. Ho: H1- 2 > 0
O A. Ho: 41- 250
HA: H1- H2 >0
O B. Ho: H1 - 42 = 0
HA: H1- H2#0
HA: H1- H250
O D. Ho: H1- H2<0
HA H1- H220
O E. Ho: H1- 42#0
HA: H1- H2 =0
O F. Ho: 41- 4220
HA H1- H2<0
Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
A. t<
O B. t<
or t>
O C. t>
Transcribed Image Text:A manufacturer of mountaineering equipment produces traditional three-strand climbing rope on two separate production lines, line 1 and line 2. The manufacturer regularly tests the tensile strength of its ropes by randomly selecting ropes from production and subjecting them to various tests. The results from the most recent random sample of ropes are shown below. Assuming the population of tensile strengths for each line is approximately normally distributed with equal variances, can the manufacturer conclude there is a difference between the mean tensile strengths of ropes produced on the two lines? Conduct the appropriate hypothesis test at the 0.10 level of significance. Line 1 Line 2 X1 = 7,083 lb S1 = 435 n, = 15 X2 = 7,014 lb S2 = 420 n2 = 30 What are the appropriate hypotheses to test? O C. Ho: H1- 2 > 0 O A. Ho: 41- 250 HA: H1- H2 >0 O B. Ho: H1 - 42 = 0 HA: H1- H2#0 HA: H1- H250 O D. Ho: H1- H2<0 HA H1- H220 O E. Ho: H1- 42#0 HA: H1- H2 =0 O F. Ho: 41- 4220 HA H1- H2<0 Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. t< O B. t< or t> O C. t>
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