4.105 INDEX FINGER MUSCLE FATIGUE AND PISTOL FIRING. Refer to the Human Factors (November 2019) study of the effects of finger strength and muscle fatigue on the ability to shoot a pistol, Exercise 2.80 (p. 86). Recall that muscle strength was measured (in Newtons) by the maximum voluntary isometric contraction (MVIC) of the index finger. The researchers found that when at rest, expert male shooters have a mean MVIC of 160.3 N and a standard deviation of 19.6 N. However, after repeated shooting sessions, the expert shooters have a mean MVIC of 133.5 N and a standard deviation of 19.6 N. Assume that the distribution of MVIC strength scores in both scenarios is approximately normal. a. When at rest, what is the probability that an expert shooter has an MVIC value of 120 N or less? b. After repeated shooting sessions, what is the probability that an expert shooter has an MVIC value of 120 N or less? c. What MVIC value will be exceeded by 75% of the expert shooters when at rest? d. Repeat part e for expert shooters following repeated shooting sessions. e. If you observe an expert shooter with an MVIC value of 120 N or less, what can you infer about when - at rest or after repeated shooting sessions - the measurement was taken?
4.105 INDEX FINGER MUSCLE FATIGUE AND PISTOL FIRING. Refer to the Human Factors (November 2019) study of the effects of finger strength and muscle fatigue on the ability to shoot a pistol, Exercise 2.80 (p. 86). Recall that muscle strength was measured (in Newtons) by the maximum voluntary isometric contraction (MVIC) of the index finger. The researchers found that when at rest, expert male shooters have a mean MVIC of 160.3 N and a standard deviation of 19.6 N. However, after repeated shooting sessions, the expert shooters have a mean MVIC of 133.5 N and a standard deviation of 19.6 N. Assume that the distribution of MVIC strength scores in both scenarios is approximately normal. a. When at rest, what is the probability that an expert shooter has an MVIC value of 120 N or less? b. After repeated shooting sessions, what is the probability that an expert shooter has an MVIC value of 120 N or less? c. What MVIC value will be exceeded by 75% of the expert shooters when at rest? d. Repeat part e for expert shooters following repeated shooting sessions. e. If you observe an expert shooter with an MVIC value of 120 N or less, what can you infer about when - at rest or after repeated shooting sessions - the measurement was taken?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 69E
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