Paula surveyed the 47 customers in a shoe store on a Monday morning. Is this sample of the shoe store's customers likely to be representative? Choices: (A)yes (B)no

Sample Size Analysis: Step 1: Analyze the size of the sample in relation to the typical customer flow. Considering the store might have different customer attendance on different days and times, a sample from just a Monday morning might not capture the full diversity or number of customers throughout the week. Diversity Consideration: Step 2: Consider the diversity of the sample. Since the survey was conducted only on a Monday morning, it may not include people who shop at other times due to work or other commitments, potentially skewing the demographic representation. Timing Evaluation: Step 3: Evaluate the representativeness based on the timing of the survey. Monday mornings could attract a specific type of customer, possibly those who are free during weekday mornings, which might not be representative of the entire customer base that visits throughout the week, including weekends.

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Paula surveyed the $47$ customers in a shoe store on a Monday morning. $\newline$ Is this sample of the shoe store's customers likely to be representative? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 7

Identify representative, random, and biased samples

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Q. Paula surveyed the

47

customers in a shoe store on a Monday morning.

\newline

Is this sample of the shoe store's customers likely to be representative?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Sample Size Analysis: Step $1$ : Analyze the size of the sample in relation to the typical customer flow. Considering the store might have different customer attendance on different days and times, a sample from just a Monday morning might not capture the full diversity or number of customers throughout the week.
Diversity Consideration: Step $2$ : Consider the diversity of the sample. $\newline$ Since the survey was conducted only on a Monday morning, it may not include people who shop at other times due to work or other commitments, potentially skewing the demographic representation.
Timing Evaluation: Step $3$ : Evaluate the representativeness based on the timing of the survey. Monday mornings could attract a specific type of customer, possibly those who are free during weekday mornings, which might not be representative of the entire customer base that visits throughout the week, including weekends.