question archive A city transportation company (CTC) conducted a small sample study to estimate the utilization of bus stops in the city

A city transportation company (CTC) conducted a small sample study to estimate the utilization of bus stops in the city

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A city transportation company (CTC) conducted a small sample study to estimate the utilization of bus stops in the city. Three out of 20 city areas were sampled at random and then a few bus stops within these areas. The numbers of people using the bus stop over a specified hour in a specified weekday (weekend excluded) are given in the following table:

Sampled Area Number of bus stops Number of buys stops sampled Sample average Sample variance
1 45 9 82 30
2 36 7 80 20
3 20 4 56 30

a. Explain what type of sample design is used here.

b. Estimate the average number of people using a bus stop in one hour for the weekday per bus stop in the city. Is this estimator unbiased?

c. Place a bound on the error of the estimation.

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