Production Workers at a Large Factory Finish Shirts with a Hand

question 3

Essay

Production Workers at a large factory finish shirts with a hand sewn logo. The foreman overseeing the workers tracks the level of production. After collecting data for several months he estimates that workers complete an average of 230 shirts each day with a standard deviation of 13 shirts. He also believes that a normal model is appropriate to describe the distribution.
a) What is the probability that the workers will produce more than 250 shirts on a given
day?
b) Assuming that each day is independent, what are the chances that they will produce over 250 shirts for 3 days in a row?

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Definitions:

Portray

To represent or describe someone or something in a particular way, often in art or literature.

Low Self-Esteem

A persistent feeling of inadequacy or a lack of confidence and respect for oneself, often affecting one's behavior and mental health.

Researchers

Individuals who conduct systematic investigations to establish facts or principles or to collect information on a subject, aiming to expand knowledge.

Conclusions

Represents the final part of something, such as a research study or argument, summarizing the findings or the main points made.