Problem 1.33
The article The Pedaling Technique of Elite Endurance Cyclists (Int. J. of Sport Biomechanics, 1991: 2953) reported the accompanying data on single-leg power at a high workload: 244 191 160 187 180 176 174 205 211 183 211 180 194 200 a. Calculate and interpret the sample mean and median. b. Suppose that the first observation had been 204 rather than 244. How would the mean and median change? c. Calculate a trimmed mean by eliminating the smallest and largest sample observations. What is the corresponding trimming percentage? d. The article also reported values of single-leg power for a low workload. The sample mean for n 13 observations was x 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample?

Step-by-Step Solution:
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Calculating Probability and Drawing Inference using Central Limit Theorem for mean: - Ex1. Determining whether the mean lifetime claimed by a light bulb company is true in reality (refer to lecture 19 for a thorough example) - Statistical significance is when an effect in a study is real, and not likely to be due to random variation alone - Scheme of statistical inference (similar to proof by contradiction): o Initial claim/presumption o Observe (conduct study) and model (a distribution assuming claim) o Calculate probability (likeliness of observation if claim were true) o

The answer to “The article The Pedaling Technique of Elite Endurance Cyclists (Int. J. of Sport Biomechanics, 1991: 2953) reported the accompanying data on single-leg power at a high workload: 244 191 160 187 180 176 174 205 211 183 211 180 194 200 a. Calculate and interpret the sample mean and median. b. Suppose that the first observation had been 204 rather than 244. How would the mean and median change? c. Calculate a trimmed mean by eliminating the smallest and largest sample observations. What is the corresponding trimming percentage? d. The article also reported values of single-leg power for a low workload. The sample mean for n 13 observations was x 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample?” is broken down into a number of easy to follow steps, and 133 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online), edition: 7. Probability and Statistics for Engineering and the Sciences (with Student Suite Online) was written by and is associated to the ISBN: 9780495382171. This full solution covers the following key subjects: . This expansive textbook survival guide covers 23 chapters, and 1318 solutions. The full step-by-step solution to problem: 1.33 from chapter: 1 was answered by , our top Statistics solution expert on 01/02/18, 08:17PM. Since the solution to 1.33 from 1 chapter was answered, more than 244 students have viewed the full step-by-step answer.