Part I (Form B EmpliD Elementary Statistics Departmental Final Exam (2 points) c

Question

Part I (Form B EmpliD Elementary Statistics Departmental Final Exam (2 points) c. Calculate the sample mean. ( point) d. Use information from part 1. c. to fill in the blanks in the following statement ristas, o" Summary: In the randomn sample of 30 Starbucks locations, there were average, serving customers during lunch hour. e. "Based on the sample data, we can infer that the average number of baristas serving Starbucks customers at noon in Manhattan is at least 3 Circle the best option to explain why do you agree or disagree with the statement above: I agree with the statement because the data came from a representative sample I don't agree with the statement because the sample is not representative of the population I don't agree with the statement because sample mean is different from the population mean (1 point)

Explanation / Answer

PART c)

Let's say the 30-sample-size sample was taken for Starbucks locations. We have values 0 or 1 whether a Barista serves customers at lunch hour or not

=> Sample Mean = (sum of all values)/(number of values) = sum of all values/30

PART d)

On average, Sample Mean baristas were serving custoemrs during lunch hours

PART e)

The sample is small (30) and it is a collection of randomly selected Starbucks locations => This might have a bias somehow.

=> Only if we test hypothesis that population mean is actually within (confidence interval (CI, say, of 95%) of the sample mean calculated, we can then say that if the null hypothesis that it lies within interval is NOT rejected, then the sample mean is representative of the

For a sample size of 30 and given the data (not given here), we can calculate the t-statistic. and then the CI for this.

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