Suppose the following data are product weights for the same items produced on two different production lines. Line 1 Line 2 13.1 13.4 13.9 14.7 14.0 14.6 13.5 14.0 13.3 14.1 13.6 13.2 13.8 14.3 13.1 14.9 12.5 14.2 14.3 14.8 15.0 14.5 A. Test for a difference between the product weights for the two lines. Use α = 0.05. State the null and alternative hypotheses. 1. H0: The two populations of product weights are identical. Ha: The two populations of product weights are not identical. 2. H0: Median for line 1 − Median for line 2 ≤ 0 Ha: Median for line 1 − Median for line 2 > 0 3. H0: Median for line 1 − Median for line 2 < 0 Ha: Median for line 1 − Median for line 2 = 0 4. H0: The two populations of product weights are not identical. Ha: The two populations of product weights are identical. 5. H0: Median for line 1 − Median for line 2 ≥ 0 Ha: Median for line 1 − Median for line 2 < 0 B. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = C. State your conclusion. 1. Reject H0. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 2. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 3. Reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 4. 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.
Suppose the following data are product weights for the same items produced on two different production lines. Line 1 Line 2 13.1 13.4 13.9 14.7 14.0 14.6 13.5 14.0 13.3 14.1 13.6 13.2 13.8 14.3 13.1 14.9 12.5 14.2 14.3 14.8 15.0 14.5 A. Test for a difference between the product weights for the two lines. Use α = 0.05. State the null and alternative hypotheses. 1. H0: The two populations of product weights are identical. Ha: The two populations of product weights are not identical. 2. H0: Median for line 1 − Median for line 2 ≤ 0 Ha: Median for line 1 − Median for line 2 > 0 3. H0: Median for line 1 − Median for line 2 < 0 Ha: Median for line 1 − Median for line 2 = 0 4. H0: The two populations of product weights are not identical. Ha: The two populations of product weights are identical. 5. H0: Median for line 1 − Median for line 2 ≥ 0 Ha: Median for line 1 − Median for line 2 < 0 B. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = C. State your conclusion. 1. Reject H0. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 2. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 3. Reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines. 4. 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Suppose the following data are product weights for the same items produced on two different production lines.
| Line 1 | Line 2 |
|---|---|
| 13.1 | 13.4 |
| 13.9 | 14.7 |
| 14.0 | 14.6 |
| 13.5 | 14.0 |
| 13.3 | 14.1 |
| 13.6 | 13.2 |
| 13.8 | 14.3 |
| 13.1 | 14.9 |
| 12.5 | 14.2 |
| 14.3 | 14.8 |
| 15.0 | |
| 14.5 |
A. Test for a difference between the product weights for the two lines. Use α = 0.05.
State the null and alternative hypotheses.
1. H0: The two populations of product weights are identical.
Ha: The two populations of product weights are not identical.
Ha: The two populations of product weights are not identical.
2. H0: Median for line 1 − Median for line 2 ≤ 0
Ha: Median for line 1 − Median for line 2 > 0
Ha: Median for line 1 − Median for line 2 > 0
3. H0: Median for line 1 − Median for line 2 < 0
Ha: Median for line 1 − Median for line 2 = 0
Ha: Median for line 1 − Median for line 2 = 0
4. H0: The two populations of product weights are not identical.
Ha: The two populations of product weights are identical.
Ha: The two populations of product weights are identical.
5. H0: Median for line 1 − Median for line 2 ≥ 0
Ha: Median for line 1 − Median for line 2 < 0
Ha: Median for line 1 − Median for line 2 < 0
B. Find the value of the test statistic.
W =
Find the p-value. (Round your answer to four decimal places.)
p-value =
C. State your conclusion.
1. Reject H0. There is not sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
2. Do not reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
3. Reject H0. There is sufficient evidence to conclude that there is a significant difference between the product weights for the two lines.
4. 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.
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