Using the test statistic calculated previously, t= -1.9, 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 = 1.9 rounded to three decimal places. P-value area under the curve to the left of t = -1.9 = area under the curve to the right of t = 1.9 0.076 X Because the P-value is greater than ✔ the significance level of 0.01, we fail to reject Ho. Therefore, the data [does not less than 10. ✓ suggest that the difference between mean stopping distances is

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For the given alternative hypothesis Ha: 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 = -1.9, 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 = 1.9
rounded to three decimal places.
P-value = area under the curve to the left of t = -1.9
= area under the curve to the right of t = 1.9
0.076
X
Because the P-value is greater than
less than 10.
the significance level of 0.01, we fail to reject ✓
Ho. Therefore, the data does not
suggest that the difference between mean stopping distances is
Transcribed Image Text:For the given alternative hypothesis Ha: 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 = -1.9, 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 = 1.9 rounded to three decimal places. P-value = area under the curve to the left of t = -1.9 = area under the curve to the right of t = 1.9 0.076 X Because the P-value is greater than less than 10. the significance level of 0.01, we fail to reject ✓ Ho. Therefore, the data does not suggest that the difference between mean stopping distances is
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