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6.3 ) In a traffic survey where speeds of vehicles are measured, it is desired to determine the mean vehicle speed to within t1 kph (kilometre per hour) with 99% confidence. From a preliminary study, the standard deviation of the vehicle speed is found to be 3.58 kph. Assume that all observations are independent; determine the number of observations required. (2) I 150 observations were taken, what would be the confidence level associated with the interval of ±1 kph of the mean speed? Assume that the standard deviation of vehicle speed is still 3.58 kph.
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