The following data are paired by date. Let x and y be random variables representing wind direction at 5 a.m. and 5 p.m., respectively (units are degrees on a compass, with 0° representing true north). The readings were taken at seeding level in a cloud seeding experiment. A random sample of days gave the following information. x 141 140 197 224 54 175 257 72 172 y 176 142 217 125 43 245 218 35 147 x 218 265 110 193 180 190 94 8 66 y 208 218 100 170 245 117 140 99 97 Use the sign test with a 5% level of significance to test the claim that the distributions of wind directions at 5 a.m. and 5 p.m. are different. Interpret the results. What is the level of significance? Compute the sample test statistic. (Round your answer to two decimal places.) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
The following data are paired by date. Let x and y be random variables representing wind direction at 5 a.m. and 5 p.m., respectively (units are degrees on a compass, with 0° representing true north). The readings were taken at seeding level in a cloud seeding experiment. A random sample of days gave the following information.
x | 141 | 140 | 197 | 224 | 54 | 175 | 257 | 72 | 172 |
y | 176 | 142 | 217 | 125 | 43 | 245 | 218 | 35 | 147 |
x | 218 | 265 | 110 | 193 | 180 | 190 | 94 | 8 | 66 |
y | 208 | 218 | 100 | 170 | 245 | 117 | 140 | 99 | 97 |
Use the sign test with a 5% level of significance to test the claim that the distributions of wind directions at 5 a.m. and 5 p.m. are different. Interpret the results.
What is the level of significance?
Compute the sample test statistic. (Round your answer to two decimal places.)
Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
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