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SCI1020 - Introduction to Statistical Reasoning - S2 2025

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Which of the following statements is correct regarding the chart above?

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The records of the 100 postal employees at a postal station in a large city showed that the average time these employees had worked for the postal service was 6 years. Assume that we know that the standard deviation of the population of times Australian Postal Service employees have spent with the postal service is approximately Normal, with standard deviation σ = 5 years.

A 95% confidence interval based on this sample for the mean time μ the population of all Australian Postal Service employees have spent with the postal service is

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I collect a random sample of size n from a population and from the data collected I compute a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on the same data set?

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