popu the Francisco Bay. The random sample we select has a mean of 629 parts per million and a standard deviation of 54 parts per million. (a) What is the best point estimate, based on the sample, to use for the population mean? O parts per million (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to a t distribution.) Could use Sampling scenario Unclear either Z or t The sample has size 19, and it is from a normally distributed population with an unknown standard deviation.

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You would like to construct a 99% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish from the San
Francisco Bay. The random sample we select has a mean of 629 parts per million and a standard deviation of 54 parts per million.
(a) What is the best point estimate, based on the sample, to use for the population mean?
O parts per million
(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value
for the 99% confidence interval for the population mean.
(In the table, Z refers to a standard normal distribution, and t refers to at distribution.)
Could use
Sampling scenario
Z
Unclear
either Z or t
The sample has size 19, and it is from a normally distributed
population with an unknown standard deviation.
The sample has size 105, and it is from a non-normally distributed
population.
The sample has size 90, and it is from a non-normally distributed
population with a known standard deviation of 51.
Transcribed Image Text:You would like to construct a 99% confidence interval to estimate the population mean PCB (Polychlorinated biphenyl) level in white croaker fish from the San Francisco Bay. The random sample we select has a mean of 629 parts per million and a standard deviation of 54 parts per million. (a) What is the best point estimate, based on the sample, to use for the population mean? O parts per million (b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and t refers to at distribution.) Could use Sampling scenario Z Unclear either Z or t The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. The sample has size 105, and it is from a non-normally distributed population. The sample has size 90, and it is from a non-normally distributed population with a known standard deviation of 51.
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