Question

ou may need to use the appropriate appendix table or technology to answer this question.

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 α = 0.05.

State the null and alternative hypotheses.

H₀: The two populations of product weights are identical.
H_a: The two populations of product weights are not identical.

H₀: Median for line 1 − Median for line 2 ≤ 0
H_a: Median for line 1 − Median for line 2 > 0    

H₀: 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 < 0

Find the value of the test statistic.

W =

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

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 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.

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.

Answer 1