Use the Normal to Model the Distribution of Sample Proportions

question 5

Multiple Choice

Use the Normal to model the distribution of sample proportions.
-The owner of a pet store is trying to decide whether to discontinue selling specialty
Clothes for pets. She suspects that only 4% of the customers buy specialty clothes for
Their pets and thinks that she might be able to replace the clothes with more profitable
Items. She decides to keep track of the customers who buy specialty clothes for their pets.
If in a typical day there are 275 customers, would be it unusual for her to find that 21
Customers buy these specialty clothes?

• A) No, because it is close to the average number expected.
• B) No, because it represents 8% of the customers who come to the store on a typical day.
• C) Yes, because it is three standard deviations above the mean of the sampling distribution.
• D) Yes, because it is two standard deviations below the mean of the sampling distribution.
• E) No, because it is less than 4% away from the mean of the sampling distribution.

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Definitions:

Non-Leadership

The absence of leadership qualities or actions in a situation where guidance or direction is needed.

Active Form

A state or mode of operation in which engagement and direct participation are emphasized, often used to describe dynamic and participatory processes or structures.

Intellectual Stimulation

is the process of encouraging individuals to think critically, creatively, and to challenge existing assumptions and beliefs.

Full Range Leadership Model

A leadership theory that suggests leaders perform across a spectrum of behaviors, from passive to transformational, depending on the situation and the needs of the followers.