Provide an Appropriate Response

question 65

Essay

Provide an appropriate response.
-Consider the following two problems. (a)A random-number generator yields numbers in a uniform distribution between 0 and 1 with a mean of 0.5 and a standard deviation of 0.289. You wish to find the probability that the mean of a sample of 50 random numbers is greater than 0.6. (b)Scores on an aptitude test are normally distributed with a mean of 82 and a standard deviation of 11. You wish to find the probability that the score for a randomly selected person is greater than 90. Which of these two problems requires application of the Central Limit Theorem? Explain your reasoning.

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Definitions:

Parasitic Plants

Plants that derive some or all of their nutritional requirements from another living plant.

Nutritional Source

A food or substance that provides essential nutrients needed for growth and maintenance of life.

Blood-Borne Pathogen

Microorganisms such as viruses or bacteria that are carried in blood and can cause disease in people.

Hepatitis A Virus

A highly contagious liver infection caused by the hepatitis A virus, typically transmitted through the ingestion of contaminated food or water.