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

question 2

Short Answer

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?

• 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?

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Definitions:

Tendons

Fibrous connective tissues that attach muscles to bones, facilitating movement.

Hypermobility

A condition where joints can move beyond the normal range of motion, often due to genetic variations in connective tissue.

Body Mechanics

The application of kinesiology to use the body in an efficient and safe manner during daily activities to avoid injury.

Good Posture

The alignment of the body's parts in a manner that supports optimal balance and function, reducing strain on the muscles and ligaments during movement or when stationary.