The following data are product weights for the same items produced on two different production lines. Line 1 Line 2 13.6 13.7 13.8 14.1 14.0 14.2 13.9 14.0 13.4 14.6 13.2 13.5 13.3 14.4 13.6 14.8 12.9 14.5 14.4 14.3   15.0   14.9 Test for a difference between the product weights for the two lines. Use ? = 0.05. State the null and alternative hypotheses. H0: Median for line 1 − Median for line 2 < 0 Ha: Median for line 1 − Median for line 2 = 0H0: The two populations of product weights are not identical. Ha: The two populations of product weights are identical.    H0: Median for line 1 − Median for line 2 ≤ 0 Ha: Median for line 1 − Median for line 2 > 0H0: Median for line 1 − Median for line 2 ≥ 0 Ha: Median for line 1 − Median for line 2 < 0H0: The two populations of product weights are identical. Ha: The two populations of product weights are not identical. Find the value of the test statistic. W =  Find the p-value. (Round your answer to four decimal places.) p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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The following data are product weights for the same items produced on two different production lines.
Line 1 Line 2
13.6 13.7
13.8 14.1
14.0 14.2
13.9 14.0
13.4 14.6
13.2 13.5
13.3 14.4
13.6 14.8
12.9 14.5
14.4 14.3
  15.0
  14.9
Test for a difference between the product weights for the two lines. Use ? = 0.05.
State the null and alternative hypotheses.
H0: Median for line 1 − Median for line 2 < 0
Ha: Median for line 1 − Median for line 2 = 0H0: The two populations of product weights are not identical.
Ha: The two populations of product weights are identical.    H0: Median for line 1 − Median for line 2 ≤ 0
Ha: Median for line 1 − Median for line 2 > 0H0: Median for line 1 − Median for line 2 ≥ 0
Ha: Median for line 1 − Median for line 2 < 0H0: The two populations of product weights are identical.
Ha: The two populations of product weights are not identical.
Find the value of the test statistic.
W = 
Find the p-value. (Round your answer to four decimal places.)
p-value = 
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