Suppose u, and Hz are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-samplet test at significance level 0.01 to test H, Hq - H2 = -10 versus H,: H, - H2 < -10 for the following data: m = 5, x = 113.2, s, - 5.05, n = 5, y = 129.1, and s, - 5.39. A USE SALT 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.) P-value - 0.000 State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject H,. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject H,. The data suggests that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10.
Suppose u, and Hz are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-samplet test at significance level 0.01 to test H, Hq - H2 = -10 versus H,: H, - H2 < -10 for the following data: m = 5, x = 113.2, s, - 5.05, n = 5, y = 129.1, and s, - 5.39. A USE SALT 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.) P-value - 0.000 State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject H,. The data does not suggest that the difference between mean stopping distances is less than -10. O Fail to reject H,. The data suggests that the difference between mean stopping distances is less than -10. O Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10.
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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![Suppose \( \mu_1 \) and \( \mu_2 \) are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test \( H_0: \mu_1 - \mu_2 = -10 \) versus \( H_a: \mu_1 - \mu_2 < -10 \) for the following data: \( m = 5, \, \bar{x} = 113.2, \, s_1 = 5.05, \, n = 5, \, \bar{y} = 129.1, \) and \( s_2 = 5.39 \).
**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.)
- \( t = \)
- \( P\text{-value} = 0.000 \)
**State the conclusion in the problem context.**
- \(\circ\) Reject \( H_0 \). The data suggests that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Reject \( H_0 \). The data does not suggest that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Fail to reject \( H_0 \). The data suggests that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Fail to reject \( H_0 \). The data does not suggest that the difference between mean stopping distances is less than \(-10\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cb17d95-e5df-4059-bfc5-c7da79fecf29%2F142a62cc-eb8a-4ef7-ba08-55278c65cf88%2Fpnqhx86_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose \( \mu_1 \) and \( \mu_2 \) are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test \( H_0: \mu_1 - \mu_2 = -10 \) versus \( H_a: \mu_1 - \mu_2 < -10 \) for the following data: \( m = 5, \, \bar{x} = 113.2, \, s_1 = 5.05, \, n = 5, \, \bar{y} = 129.1, \) and \( s_2 = 5.39 \).
**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.)
- \( t = \)
- \( P\text{-value} = 0.000 \)
**State the conclusion in the problem context.**
- \(\circ\) Reject \( H_0 \). The data suggests that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Reject \( H_0 \). The data does not suggest that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Fail to reject \( H_0 \). The data suggests that the difference between mean stopping distances is less than \(-10\).
- \(\circ\) Fail to reject \( H_0 \). The data does not suggest that the difference between mean stopping distances is less than \(-10\).
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