Question

uppose the following data are product weights for the same items produced on two different production lines.

Line 1	Line 2
13.7	13.9
13.5	14.3
14.0	14.4
13.1	14.0
13.8	14.7
13.4	13.2
13.6	14.8
13.7	14.5
12.1	14.2
14.8	14.6
	15.0
	14.1

Test for a difference between the product weights for the two lines. Use α = 0.05.

State the null and alternative hypotheses.

H₀: Median for line 1 − Median for line 2 < 0
H_a: Median for line 1 − Median for line 2 = 0H₀: Median for line 1 − Median for line 2 ≤ 0
H_a: Median for line 1 − Median for line 2 > 0     H₀: The two populations of product weights are not identical.
H_a: The two populations of product weights are identical.H₀: Median for line 1 − Median for line 2 ≥ 0
H_a: Median for line 1 − Median for line 2 < 0H₀: The two populations of product weights are identical.
H_a: 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.

Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.Reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.     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.Reject H₀. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.

Answer 1