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For the given alternative hypothesis H.: ₁₂-10, the P-value will be the area under the t, curve to the left of t. Note that the table of t curve tail areas provides the area under the upper tail. Because t curves are symmetric about 0, the area to the left of -t is the same as the area to the right of t. Using the test statistic calculated previously, t-2.4, and the calculated degrees f freedom, v 15, refer to the table of t curve tail areas to find the area under the curve to the right of t 2.4 rounded to three decimal places. P-value area under the curve to the left of t= -2.4 - area under the curve to the right of t - 2.4 Because the P-value is --Select-- the significance level of 0.01, we --Select--- Ho. Therefore, the data ---Select--- suggest that the difference between mean stopping distances is less than -10.

For the given alternative hypothesis H.: ₁₂-10, the P-value will be the area under the t, curve to the left of t. Note that the table of t curve tail areas provides the area under the upper tail. Because t curves are symmetric about 0, the area to the left of -t is the same as the area to the right of t. Using the test statistic calculated previously, t-2.4, and the calculated degrees f freedom, v 15, refer to the table of t curve tail areas to find the area under the curve to the right of t 2.4 rounded to three decimal places. P-value area under the curve to the left of t= -2.4 - area under the curve to the right of t - 2.4 Because the P-value is --Select-- the significance level of 0.01, we --Select--- Ho. Therefore, the data ---Select--- suggest that the difference between mean stopping distances is less than -10.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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For the given alternative hypothesis H₂: M₁ M₂ < -10, the P-value will be the area under the t curve to the left of t. Note that the table of t curve tail areas provides the area under the upper tail. Because t curves are symmetric about 0, the area to the left of -t is the same as the area to the right of t. Using the test statistic calculated previously, t = -2.4, and the calculated degrees of freedom, v = 15, refer to the table of t curve tail areas to find the area under the curve to the right of t = 2.4 rounded to three decimal places. P-value = area under the curve to the left of t = -2.4 = area under the curve to the right of t = 2.4 Because the P-value is ---Select-- the significance level of 0.01, we ---Select--- Ho. Therefore, the data ---Select--- suggest that the difference between mean stopping distances is less than -10.
Transcribed Image Text:For the given alternative hypothesis H₂: M₁ M₂ < -10, the P-value will be the area under the t curve to the left of t. Note that the table of t curve tail areas provides the area under the upper tail. Because t curves are symmetric about 0, the area to the left of -t is the same as the area to the right of t. Using the test statistic calculated previously, t = -2.4, and the calculated degrees of freedom, v = 15, refer to the table of t curve tail areas to find the area under the curve to the right of t = 2.4 rounded to three decimal places. P-value = area under the curve to the left of t = -2.4 = area under the curve to the right of t = 2.4 Because the P-value is ---Select-- the significance level of 0.01, we ---Select--- Ho. Therefore, the data ---Select--- suggest that the difference between mean stopping distances is less than -10.
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