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A manufacturer collects a sample of 30 bags of flour, measuring their weights in kilograms (kg). The mean weight in the sample is found to

A manufacturer collects a sample of 30 bags of flour, measuring their weights in kilograms (kg). The mean weight in the sample is found to be 1.05 kg with a standard deviation of 0.01 kg.


a) Construct a 99% confidence interval for the population mean weight of bags of flour. WORK TO A MINIMUM OF 3 DECIMAL PLACES. Show brief workings.


b) Interpret your confidence interval.


c) Do NOT create another confidence interval to answer this question.

All else held the same, if the sample size was now 36 bags of flour, how would the width of your confidence interval in part a) change? PLEASE EXPLAIN YOUR ANSWER HERE.


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