P5. The average zinc concentration recovered from a sample of zinc measurements in 36 different locations was found to be 2.6 grams per milliliter. Find 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3. Compare both confidence intervals and what can you say about the length of an interval and a degree of accuracy. Do you observe any relation? How large a sample is required if we want to be 95% confident that our estimate of the population mean is off by less

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P5. The average zinc concentration recovered from a sample of zinc measurements in 36
different locations was found to be 2.6 grams per milliliter. Find 95% and 99% confidence
intervals for the mean zinc concentration in the river. Assume that the population standard
deviation is 0.3. Compare both confidence intervals and what can you say about the length of
an interval and a degree of accuracy. Do you observe any relation? How large a sample is
required if we want to be 95% confident that our estimate of the population mean is off by less
than 0.05? Find the 95% confidence interval for the unknown population mean if the sample
size is 9 and the sample standard deviation is 0.3. Interpret your results.
Transcribed Image Text:P5. The average zinc concentration recovered from a sample of zinc measurements in 36 different locations was found to be 2.6 grams per milliliter. Find 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3. Compare both confidence intervals and what can you say about the length of an interval and a degree of accuracy. Do you observe any relation? How large a sample is required if we want to be 95% confident that our estimate of the population mean is off by less than 0.05? Find the 95% confidence interval for the unknown population mean if the sample size is 9 and the sample standard deviation is 0.3. Interpret your results.
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