A study of the ability of individuals to walk in a straight line reported the ac
ID: 3320916 • Letter: A
Question
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 of n = 20 randomly selected healthy men. 0.93 0.85 0.92 0.95 0.93 0.88 1.00 0.92 0.85 0.81 0.76 0.93 0.93 1.01 0.93 1.06 1.09 0.96 0.81 0.98 A normal probability plot glves substantial support to the assumption that the population distribution of cadence is approximately normal. A descriptive summary of the data from Minitab follows. Variable cadence Variable cadence Mean Median TrMearn StDev SEMean 20 0.9250 0.93000.9250 0.0828 0.0185 Min 0.7600 1.0900 0.8650 0.9700 Max 91 93 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to four decimal places.) 887 963 strides per second Interpret this interval with 95% confidence, the value of the true mean cadence of all such men falls above the confidence interval with 95% confidence, the value of the true mean cadence of all such men falls below the confidence interval with 95% confidence, the value of the true mean cadence of all such men falls inside the confidence interval. (b) Calculate and interpret a 95% prediction interval for the cadence of a single individual randomly selected from this population. (Round your answers to four decimal places.) X1.0515 Xstrides 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 sample after sample, in the long run, 95% of these bounds will 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 once, there is a 5% chance that these bounds will capture a future individual value of cadence for a healthy man.Explanation / Answer
Solution:-
b) The 95% prediction interval = > x +/- t * s * sqrt(n+1/n)
0.925 +/- [2.093 * 0.0828 * sqrt(21/20)]
0.747 , 1.103
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