Amanufacturer of mountaineering equipment produces traditional three-strand climbing raope on two separate production ines, Ine 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 appraximately normally distributed with equal variances can the manufacturer concude there is a diference between the mean tensile strengths of ropes produced on the two lines? Conduct the appropriate hypothesis test at the 0.05 level of significance Line 2 X 7 223 6.740 S2435 ng 30 n, 25 What are the appropriate hypotheses to test? OB. Hy -20 OC. Hy -s0 HA 0 OF Hy -20 A Hg P20 OD. Hy P20 Datermine the reiection reglon for the test stadisdic Select the corect choice below and flin the ansuer box to complete vour choice (Round to four decimal places as needed) OA Calculate the value of the test statstic tORound to four decimal places as needed) in he rejection region. the nul hypothesis. There is evidence to conclude that the two population means are different Since the test statistic

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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
0.05 level of significance.
Line 1
Line 2
X2 = 6,748 lb
$2 = 435
X1 = 7,223 Ib
S, = 425
n, = 25
n2 = 30
What are the appropriate hypotheses to test?
O A. Ho H1-H2= 0
HA H1 - H2#0
O D. Ho H1- 4220
HA: H1- H2 <0
O B. Ho: H1- 42 <0
HẠ H1- 4220
O E. Ho: H1 - 42 > 0
HA: H1- 4250
O C. Ho: H1 - 42s0
HẠ: H1 - H2 >0
O F. Ho: H1- 42# 0
HẠi 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<
Calculate the value of the test statistic.
= (Round to four decimal places as needed.)
Since the test statistic
in the rejection region,
V the null hypothesis. There is
V evidence to conclude that the two population means are different.
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 0.05 level of significance. Line 1 Line 2 X2 = 6,748 lb $2 = 435 X1 = 7,223 Ib S, = 425 n, = 25 n2 = 30 What are the appropriate hypotheses to test? O A. Ho H1-H2= 0 HA H1 - H2#0 O D. Ho H1- 4220 HA: H1- H2 <0 O B. Ho: H1- 42 <0 HẠ H1- 4220 O E. Ho: H1 - 42 > 0 HA: H1- 4250 O C. Ho: H1 - 42s0 HẠ: H1 - H2 >0 O F. Ho: H1- 42# 0 HẠi 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< Calculate the value of the test statistic. = (Round to four decimal places as needed.) Since the test statistic in the rejection region, V the null hypothesis. There is V evidence to conclude that the two population means are different.
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