Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test Ho: HD = 0 versus H₂: HD> 0 at significance level 0.01. (Use HD HU-HA- P-value= Fabric 1 2 55.0 3 4 51.2 38.6 6 48.8 7 25.6 8 49.6 U 36.2 A 28.5 20.0 46.0 34.0 36.5 52.5 26.5 46.5 USE SALT 5 43.2 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test to test Ho: HD = 0 versus H₂: HD> 0 at significance level 0.01. (Use HD HU-HA- P-value= Fabric 1 2 55.0 3 4 51.2 38.6 6 48.8 7 25.6 8 49.6 U 36.2 A 28.5 20.0 46.0 34.0 36.5 52.5 26.5 46.5 USE SALT 5 43.2 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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t and p-value please. WILL thumbs up if correct.
![Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t-test to test \( H_0 : \mu_D = 0 \) versus \( H_a : \mu_D > 0 \) at a significance level of 0.01. (Use \( \mu_D = \mu_U - \mu_A \).)
| | Fabric |
|-----------|------------------|
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| U | 36.2 | 55.0 | 51.2 | 38.6 | 43.2 | 48.8 | 25.6 | 49.6 |
| A | 28.5 | 20.0 | 46.0 | 34.0 | 36.5 | 52.5 | 26.5 | 46.5 |
Calculate the test statistic and determine the \( P \)-value. (Round your test statistic to one decimal place and your \( P \)-value to three decimal places.)
\( t = \) [Input Box]
\( P \)-value = [Input Box]
Explanation: This table presents the breaking load data for eight different fabrics, comparing results in unabraded (U) and abraded (A) conditions. The task is to apply a paired t-test to see if there is a statistically significant difference in the breaking load between the two conditions, with the hypothesis \( H_0 \) indicating no difference and \( H_a \) suggesting a greater breaking load in the unabraded condition at a 1% significance level. The calculations require rounding the t-test result to one decimal place and the \( P \)-value to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc02cea10-2b20-4726-bfe2-8f9101f448fb%2Fe7fd5650-3bd5-4c91-8f31-022741ea68c2%2Fje5a8cs_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t-test to test \( H_0 : \mu_D = 0 \) versus \( H_a : \mu_D > 0 \) at a significance level of 0.01. (Use \( \mu_D = \mu_U - \mu_A \).)
| | Fabric |
|-----------|------------------|
| | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| U | 36.2 | 55.0 | 51.2 | 38.6 | 43.2 | 48.8 | 25.6 | 49.6 |
| A | 28.5 | 20.0 | 46.0 | 34.0 | 36.5 | 52.5 | 26.5 | 46.5 |
Calculate the test statistic and determine the \( P \)-value. (Round your test statistic to one decimal place and your \( P \)-value to three decimal places.)
\( t = \) [Input Box]
\( P \)-value = [Input Box]
Explanation: This table presents the breaking load data for eight different fabrics, comparing results in unabraded (U) and abraded (A) conditions. The task is to apply a paired t-test to see if there is a statistically significant difference in the breaking load between the two conditions, with the hypothesis \( H_0 \) indicating no difference and \( H_a \) suggesting a greater breaking load in the unabraded condition at a 1% significance level. The calculations require rounding the t-test result to one decimal place and the \( P \)-value to three decimal places.
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