Answered: Sigma unknown A physiotherapist…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 59CR

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Sigma unknown

A physiotherapist measures the improvement in the angle of external rotation of the shoulder for 9 patients over the course of the first 6 weeks of treatment (measured in degrees of rotation):

33 13 22 10 2a 31 27 4a 15

Assuming the sample comes from a population that is normally distributed, calculate the following:

a) Calculate the sample mean and standard deviations/2

b) Considering a 9a% confidence, calculate value/1

c) Calculate the margin of error

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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