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. 0.95 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.05 0.93 1.06 1.08 0.96 0.81 0.96 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 cadence Variable N Mean 20 cadence 0.9260 Min 0.7800 Median 0.9300 Max 1.0800 TrMean 0.9256 Q1 0.8500 StDev 0.0832 Q3 0.9600 SEMean 0.0186 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) strides per second Interpret this 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. With 95% confidence, the value of the true mean cadence of all such men falls below 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 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 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 sample after sample, in the long run, 95% of these bounds will capture a future individual value of cadence for a healthy man. (c) 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 99% confident that the interval includes at least 95% of the cadence values in the population. We can be 5% confident that the interval includes at least 99% 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 1% confident that the interval includes at least 95% of the cadence values in the population.

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. 0.95 0.85 0.92 0.95 0.93 0.85 1.00 0.92 0.85 0.81 0.78 0.93 0.93 1.05 0.93 1.06 1.08 0.96 0.81 0.96 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 cadence Variable N Mean 20 cadence 0.9260 Min 0.7800 Median 0.9300 Max 1.0800 TrMean 0.9256 Q1 0.8500 StDev 0.0832 Q3 0.9600 SEMean 0.0186 (a) Calculate and interpret a 95% confidence interval for population mean cadence. (Round your answers to two decimal places.) strides per second Interpret this 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. With 95% confidence, the value of the true mean cadence of all such men falls below 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 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 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 sample after sample, in the long run, 95% of these bounds will capture a future individual value of cadence for a healthy man. (c) 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 99% confident that the interval includes at least 95% of the cadence values in the population. We can be 5% confident that the interval includes at least 99% 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 1% confident that the interval includes at least 95% of the cadence values in the population.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter19: Probability And Statistics In Engineering

Section: Chapter Questions

Problem 50P

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