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: 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 > 0
H0: Median for line 1 − Median for line 2 ≥ 0
Ha: Median for line 1 − Median for line 2 < 0
H0: Median for line 1 − Median for line 2 < 0
Ha: Median for line 1 − Median for line 2 = 0
H0: 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 =
State your conclusion.
A. Do not reject H0. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
B. Reject H0. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
C. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
D. Reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.