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
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
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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 c 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?
Transcribed Image Text: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 c 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?
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