A researcher wants to understand the average hours per week that all people in a certain town exercised last week. To determine the average, the researcher collects a sample of 196 people from the town by assigning numbers to addresses in town and then randomly selecting from those numbers and surveying those selected. The researcher asks respondents to answer the question "how many hours did you exercise last week?" (a) Identify (describe in words) the population of interest. (b) Will this sampling method create a representative sample? Explain why or why not. (c) Identify (describe in words) the parameter of interest and give the correct symbol for the parameter.
A researcher wants to understand the average hours per week that all people in a certain town exercised last week. To determine the average, the researcher collects a sample of 196 people from the town by assigning numbers to addresses in town and then randomly selecting from those numbers and surveying those selected. The researcher asks respondents to answer the question "how many hours did you exercise last week?"
(a) Identify (describe in words) the population of interest.
(b) Will this sampling method create a representative sample? Explain why or why not.
(c) Identify (describe in words) the parameter of interest and give the correct symbol for the parameter.
(d) State whether this sampling method will likely overestimate, underestimate, or accurately estimate the true value of the population parameter, and explain how you know.
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