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A study of the ability of individuals to walk in a straight line reported the accompanying data on cadence (strides per second) for a sample ofn = 20 randomly selected healthy men. 0.91 0.85 0.92 0.95 0.93 0.88 1.00 0.92 0.85 0.81 0.79 0.93 0.93 1.04 0.93 1.05 1.06 0.95 0.81 0.95 A normal probability plot gives substantial support to the assumption that the population distribution of cadence is approximately normal. A descriptive summary of the data from Minitab follows. Variable N Mean Median TrMean StDev SEMean cadence 20 0.9240 0.9300 0.9239 0.0782 0.0175 Variable Min Max Ql Q3 cadence 0.7900 1.0600 0.8650 0.9550 (a) Calculate and interpret a 95% condence interval for population mean cadence. (Round your answers to two decimal places.) ( X . ) strides per second Interpret this interval. o With 95% condence, the value of the true mean cadence of all such men falls inside the condence interval. ' With 95% condence, the value of the true mean cadence of all such men falls above the condence interval. ' ' With 95% condence, the value of the true mean cadence of all such men falls below the condence interval. i (b) Calculate and interpret a 95% prediction interval for the cadence of a single individual randomly selected from this population. (Round your answers to two decimal places.) ( , ) strides per second Interpret this interval. " If this bound is calculated sample after sample, in the long run, 95% of these bounds will fail to capture a future individual value of cadence for a healthy man. ' If this bound is calculated once, there is a 95% chance that these bounds will capture a future individual value of cadence for a healthy man. ' ' If this bound is calculated sample after sample, in the long run, 95% of these bounds will capture a future individual value of cadence for a healthy man. 0 If this bound is calculated once, there is a 5% chance that these bounds will capture a future individual value of cadence for a healthy man. X (c) Calculate an interval that includes at least 99% of the cadences in the population distribution using a condence level of 95%. (Round your answers to four decimal places.) ( , ) strides per second Interpret this interval. ' We can be 99% confident that the interval includes at least 95% of the cadence values in the population. ' ' We can be 95% confident that the interval includes at least 99% of the cadence values in the population. We can be 5% condent that the interval includes at least 99% of the cadence values in the population. ' We can be 1% condent that the Interval Includes at least 95% of the cadence values In the population
