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Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Textbook Question
Chapter 11.2, Problem 32E
The paper “Quantitative Assessment of Glenohumeral Translation in Baseball Players” (American Journal of Sports Medicine [2004]: 1711–1715) considered various aspects of shoulder motion for a sample of pitchers and another sample of position players. The authors kindly supplied the data shown below on anteroposterior translation (mm), a measure of the extent of anterior and posterior motion, both for the dominant arm and the nondominant arm.
- a. Estimate the true average difference in translation between dominant and nondominant arms for pitchers using a 95% confidence interval.
- b. Estimate the true average difference in translation between dominant and nondominant arms for position players using a 95% confidence interval.
- c. The authors asserted that pitchers have greater difference in mean anteroposterior translation of their shoulders than do position players. Do you agree? Explain.
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A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm²) from human optic nerve heads:
2.80 2.66 2.77 3.84 2.28 2.79 3.96 4.26 3.80
4.41 3.55 4.43 2.40 3.74 2.85 3.61 3.00
USE SALT
(a) Calculate Ex; and Ex₁².
2
ΣΧ; = 57.15
2
Exi = 29.70
✓ mm²
x mm 4
(b) Use the values calculated in part (a) to compute the sample variance s² and then the sample standard deviation s. (Round your answers to four decimal places.)
s² = 57.15
S = 0.7088
x mm
4
mm²
A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina
(mm2) from human optic nerve heads:
2.71 2.56 2.64 3.91 2.24 2.84 4.00 4.20 3.80
4.35 3.40 4.50 2.49 3.73 2.83 3.55 2.91
LAUSE SALT
(a) Calculate Ex, and Ex₁².
mm²
Σχιζ = |
(b) Use the values calculated in part (a) to compute the sample variance s² and then the sample standard deviation s. (Round your answers to four decimal places.)
s² =
mm4
mm²
S=
4
mm
A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads:
2.84
2.63
2.76
3.75
2.28
2.64
3.94
4.11
3.80
4.27
3.49
4.51
2.40
3.59
2.72
3.55
3.02
(a) Calculate Σxi and Σxi2.
Σxi
= ? mm2
Σxi2
= ? mm4
(b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to four decimal places.)
s2
= ? mm4
s
= ? mm2
Chapter 11 Solutions
Introduction to Statistics and Data Analysis
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