Your friend believes that he has found a route to work that would make vour commute faster than what it currently is under similar conditions. Suppose that data were collected for a random set of 7 days, where each difference is calculated by subtracting the time taken on the current route from the time taken on the new route. Assume that the populations are normally distributed. Your friend uses the alternative hypothesis Ha ·Ha 〈 0. Suppose the test statistic t is computed as t -3.201, which has 6 degrees of freedom. What range contains the p-value? 0.01 Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753

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Chapter1: Starting With Matlab
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p-value >0.10

 

0.05< p-value <0.10

 

0.01< p-value <0.05

 

p-value <0.01

 

Your friend believes that he has found a route to work that would make vour commute faster than what it currently is under
similar conditions. Suppose that data were collected for a random set of 7 days, where each difference is calculated by
subtracting the time taken on the current route from the time taken on the new route. Assume that the populations are
normally distributed. Your friend uses the alternative hypothesis Ha ·Ha 〈 0. Suppose the test statistic t is computed as
t -3.201, which has 6 degrees of freedom. What range contains the p-value?
0.01
Probability
Degrees of Freedom
5
6
0.10
0.05
0.025
0.005
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
1.761
1.753
Transcribed Image Text:Your friend believes that he has found a route to work that would make vour commute faster than what it currently is under similar conditions. Suppose that data were collected for a random set of 7 days, where each difference is calculated by subtracting the time taken on the current route from the time taken on the new route. Assume that the populations are normally distributed. Your friend uses the alternative hypothesis Ha ·Ha 〈 0. Suppose the test statistic t is computed as t -3.201, which has 6 degrees of freedom. What range contains the p-value? 0.01 Probability Degrees of Freedom 5 6 0.10 0.05 0.025 0.005 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 1.761 1.753
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