Suppose the following data are product weights for the same items produced on two different production lines. Line 1 Line 2 13.1 13.8 14.0 13.7 13.4 13.2 13.5 13.1 12.7 14.4 13.9 14.6 14.2 14.0 14.1 13.3 14.4 14.8 14.3 14.5

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Chapter1: Starting With Matlab
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Suppose the following data are product weights for the same items produced on two different production lines.
Line 1
13.1
13.8
14.0
13.7
13.4
13.2
13.5
13.1
12.7
14.4
Line 2
13.9
14.6
14.2
14.0
14.1
13.3
14.4
14.8
14.3
14.5
15.0
14.7
Test for a difference between the product weights for the two lines. Use α = 0.05.
State the null and alternative hypotheses.
Ho: Median for line 1 - Median for line 2 < 0
H₂: Median for line 1 Median for line 2 = 0
Ho: Median for line 1 - Median for line 2 ≤ 0
H₂: Median for line 1 - Median for line 2 > 0
O Ho: The two populations of product weights are not identical.
H₂: The two populations of product weights are identical.
Ho: Median for line 1 - Median for line 2 ≥ 0
H₂: Median for line 1 - Median for line 2 < 0
O Ho: The two populations of product weights are identical.
H₂: The two populations of product weights are not identical.
Find the value of the test statistic.
W = 17
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0050 X
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the product weights
for the two lines.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the product
weights for the two lines.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the product weights for
the two lines.
● Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the product weights for the
two lines.
Transcribed Image Text:Suppose the following data are product weights for the same items produced on two different production lines. Line 1 13.1 13.8 14.0 13.7 13.4 13.2 13.5 13.1 12.7 14.4 Line 2 13.9 14.6 14.2 14.0 14.1 13.3 14.4 14.8 14.3 14.5 15.0 14.7 Test for a difference between the product weights for the two lines. Use α = 0.05. State the null and alternative hypotheses. Ho: Median for line 1 - Median for line 2 < 0 H₂: Median for line 1 Median for line 2 = 0 Ho: Median for line 1 - Median for line 2 ≤ 0 H₂: Median for line 1 - Median for line 2 > 0 O Ho: The two populations of product weights are not identical. H₂: The two populations of product weights are identical. Ho: Median for line 1 - Median for line 2 ≥ 0 H₂: Median for line 1 - Median for line 2 < 0 O Ho: The two populations of product weights are identical. H₂: The two populations of product weights are not identical. Find the value of the test statistic. W = 17 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0050 X State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. ● Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
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