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The following table provides lap times for Lap 4 from a racer's log book. Times are recorded in seconds for 2.5-mile laps completed in
The following table provides lap times for Lap 4 from a racer's log book. Times are recorded in seconds for 2.5-mile laps completed in a series of races and practice runs. Use the data to test the claim that the racer finishes Lap 4, on average, in less than 129 seconds. Use all twenty races given. Conduct a hypothesis test at the 5% level. Race Lap Times (in Seconds) Lap 4 Race 1 134 Race 2 134 Race 3 129 Race 4 128 Race 5 132 Race 6 129 Race 7 130 Race 8 131 Race 9 131 Race 10 130 Race 11 129 Race 12 128 Race 13 130 Race 14 129 Race 15 133 Race 16 130 Race 17 125 Race 18 128 Race 19 127 Race 20 133 Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.) 95% C.I. What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) ---Select--- O
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