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?

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**4.105 INDEX FINGER MUSCLE FATIGUE AND PISTOL FIRING**

**Context:** 
From a study published in *Human Factors* (November 2019), the impact of finger strength and muscle fatigue on shooting a pistol was analyzed. In reference to Exercise 2.80 (p. 86), muscle strength was measured in Newtons using the maximum voluntary isometric contraction (MVIC) of the index finger.

**Research Findings:**
- **Rest Condition:** Expert male shooters displayed a mean MVIC of 160.3 N, with a standard deviation of 19.6 N.
- **Post Shooting Sessions:** The mean MVIC for expert shooters dropped to 133.5 N, maintaining a standard deviation of 19.6 N.

It is assumed that the distribution of MVIC strength scores in these scenarios is approximately normal.

**Questions:**

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?

**Graph/Diagram Explanation:** 
There are no graphs or diagrams in this document.
Transcribed Image Text:**4.105 INDEX FINGER MUSCLE FATIGUE AND PISTOL FIRING** **Context:** From a study published in *Human Factors* (November 2019), the impact of finger strength and muscle fatigue on shooting a pistol was analyzed. In reference to Exercise 2.80 (p. 86), muscle strength was measured in Newtons using the maximum voluntary isometric contraction (MVIC) of the index finger. **Research Findings:** - **Rest Condition:** Expert male shooters displayed a mean MVIC of 160.3 N, with a standard deviation of 19.6 N. - **Post Shooting Sessions:** The mean MVIC for expert shooters dropped to 133.5 N, maintaining a standard deviation of 19.6 N. It is assumed that the distribution of MVIC strength scores in these scenarios is approximately normal. **Questions:** 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? **Graph/Diagram Explanation:** There are no graphs or diagrams in this document.
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