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From a random sample of 16 bags of chips, sample mean weight is 500 grams and...

From a random sample of 16 bags of chips, sample mean weight is 500 grams and sample standard deviation is 3 grams. Assume that the population distribution is approximately normal. Answer the following questions 1 and 2.

1. Construct a 95% confidence interval to estimate the population mean weight. (i) State the assumptions, (ii) show your work and (iii) interpret the result in context of the problem.

2.  Suppose that you decide to collect a bigger sample to be more accurate. You want to be 99% confident that your sample mean is within 1 gram of the true mean. What is the sample size required? Use the sample standard deviation in Problem III description as an estimate for σ.

Math   Statistics-And-Probability   
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