A study of the ability of individuals to walk in a straight line reported the ac
ID: 3333767 • 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 0.92 0.85 0.92 0.95 0.93 0.88 1.00 0.92 0.85 0.81 0.75 0.93 0.93 1.05 0.93 1.06 1.09 0.96 0.81 0.97 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 Mean Median TrMean StDev SEMean 0.9300 o. 9261 0.0862 0.0193 cadence 20 0.9255 Max variable cadence Min 0.7500 Q1 o. 8 650 Q3 0.9650 1.0900 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to four decimal places.) strides per second Interpret this 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 . with 95% confidence, the value of the true mean cadence of all such men falls above 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. ) strides per second Interpret this interval . 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. 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 . 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. ((cc) Calculate an interval that includes at least 99% of the cadences in the population distribution using a confidence level of 95%. (Round your answers to four decimal places.) strides per second Interpret this interval. we can be 5% confident that the interval includes at least 99% of the cadence values in the population. We can be 1% confident that the interval includes at least 95% of the cadence values in the population.Explanation / Answer
a. (0.8875 to 0.9635) ,b .Falls inside
b.
(0.9171 to 0.9339) C
c.
(0.9145 to 0.9365)
D.
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