Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Question
Suppose the following data are product weights for the same items produced on two different production lines.
Line 1
13.4
13.1
14.0
13.7
13.6
13.3
13.5
13.4
12.7
14.6
Line 2
13.2
14.9
14.3
14.0
14.4
13.8
14.6
14.1
14.8
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 20
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: Median for line 1 - Median for line 2 < 0
H₂: Median for line 1 - Median for line 2 = 0
Ho:
: The two populations of product weights are not identical.
H₂: The two populations of product weights are identical.
H₁: The two populations of product weights are identical.
H₂: The two populations of product weights are not identical.
Transcribed Image Text:Suppose the following data are product weights for the same items produced on two different production lines. Line 1 13.4 13.1 14.0 13.7 13.6 13.3 13.5 13.4 12.7 14.6 Line 2 13.2 14.9 14.3 14.0 14.4 13.8 14.6 14.1 14.8 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 20 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: Median for line 1 - Median for line 2 < 0 H₂: Median for line 1 - Median for line 2 = 0 Ho: : The two populations of product weights are not identical. H₂: The two populations of product weights are identical. H₁: 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 =
Find the p-value. (Round your answer to four decimal places.)
p-value =
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.
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.
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:Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = 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. 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. 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.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Suppose the following data are product weights for the same items produced on two different production lines.
Line 1 Line 2
13.4
13.1
14.0
13.7
13.6
13.3
13.5
13.4
12.7
14.6
13.2
14.9
14.3
14.0
14.4
13.8
14.6
14.1
14.8
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.
O Ho: Median for line 1 - Median for line 2 ≥ 0
H₂: Median for line 1 - Median for line 2 < 0
O Ho: Median for line 1 - Median for line 2 ≤ 0
H₂: Median for line 1- Median for line 2 > 0
O Ho: Median for line 1 - Median for line 2 < 0
H₂: Median for line 1 - Median for line 2 = 0
Ho:
: The two populations of product weights are not identical.
H₂: The two populations of product weights are identical.
OH: 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 = 16
X
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0041
✓
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.
O 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 Line 2 13.4 13.1 14.0 13.7 13.6 13.3 13.5 13.4 12.7 14.6 13.2 14.9 14.3 14.0 14.4 13.8 14.6 14.1 14.8 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. O Ho: Median for line 1 - Median for line 2 ≥ 0 H₂: Median for line 1 - Median for line 2 < 0 O Ho: Median for line 1 - Median for line 2 ≤ 0 H₂: Median for line 1- Median for line 2 > 0 O Ho: Median for line 1 - Median for line 2 < 0 H₂: Median for line 1 - Median for line 2 = 0 Ho: : The two populations of product weights are not identical. H₂: The two populations of product weights are identical. OH: 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 = 16 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0041 ✓ 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. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning