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A Gym Knows That Each Member, on Average, Spends 70

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A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed.
A) What is the probability that a randomly selected customer spends less than 65 minutes at the gym?
B) Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym?
C) If 49 members are randomly selected, what is the probability that the average time spent at the gym exceeds 75 minutes?

Demonstrate knowledge of variations in cultural practices related to health and illness.
Recognize the role of family and community in the care of culturally diverse clients.
Identify legal and ethical considerations in culturally competent care.
Recognize the importance of self-awareness in providing culturally safe care.

Definitions:

Stimulants

Substances that increase alertness, attention, and energy by enhancing the activity of certain neurotransmitters.

Drug-Induced Psychosis

A condition where the use of, or withdrawal from, drugs leads to hallucinations, delusions, or confused thinking.

Psychological Dependence

A condition characterized by an emotional or mental reliance on a substance or behavior.

Physical Health

A state of physical well-being in which a person is mechanically fit to perform bodily functions without any discomfort or pain.

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