A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs, bus line A was observed to be off schedule an average time of 53 minutes, with standard deviation 19 minutes. For 61 randomly selected runs, bus line B was observed to be off schedule an average of 61 minutes, with standard deviation 17 minutes. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance. 1) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to three decimal places.) Estimate the P-value. 2) P-value > 0.500 0.250 < P-value < 0.500 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010 3) Sketch the sampling distribution and show the area corresponding to the P-value.
A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51 randomly selected runs, bus line A was observed to be off schedule an average time of 53 minutes, with standard deviation 19 minutes. For 61 randomly selected runs, bus line B was observed to be off schedule an average of 61 minutes, with standard deviation 17 minutes. Do the data indicate a significant difference in average off-schedule times? Use a 5% level of significance.
1) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to three decimal places.)
Estimate the P-value.
2) P-value > 0.500
0.250 < P-value < 0.500
0.100 < P-value < 0.250
0.050 < P-value < 0.100
0.010 < P-value < 0.050
P-value < 0.010
3) Sketch the sampling distribution and show the area corresponding to the P-value.
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