Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.
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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9402dae5-21a3-4dc7-9cf5-c78b86597c29%2Feb9bac14-d688-4ea5-ba15-64ef4225dfa0%2F9xfyc_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9402dae5-21a3-4dc7-9cf5-c78b86597c29%2Feb9bac14-d688-4ea5-ba15-64ef4225dfa0%2F46a6byr_processed.png&w=3840&q=75)
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.
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Follow-up Questions
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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.](https://content.bartleby.com/qna-images/question/9402dae5-21a3-4dc7-9cf5-c78b86597c29/805df7ca-0637-4fc8-8264-8426685f85fa/6lq9bmp_thumbnail.jpeg)
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
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