(a) What is the best point estimate, based on the sample, to use for the population mean? I dollars (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 Unclear Sampling scenario either Z or t The sample has size 15, and it is from a normally distributed population with an unknown standard deviation. The sample has size 17, and it is from a population with a distribution about which we know very little. The sample has size 90, and it is from a non-normally distributed population with a known standard deviation of 7839.

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You would like to construct a 99% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a
random sample of such incomes and compute the mean of the sample as 40,486 dollars with a standard deviation of 7645 dollars.
(a) What is the best point estimate, based on the sample, to use for the population mean?
I dollars
(b) For each of the following sampling scenarios, determine whidch 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
Unclear
Sampling scenario
either Z or t
The sample has size 15, and it is from a normally distributed population
with an unknown standard deviation.
The sample has size 17, and it is from a population with a distribution
about which we know very little.
The sample has size 90, and it is from a non-normally distributed
population with a known standard deviation of 7839.
Transcribed Image Text:You would like to construct a 99% confidence interval to estimate the population mean annual income for people over age 40 in your state. You choose a random sample of such incomes and compute the mean of the sample as 40,486 dollars with a standard deviation of 7645 dollars. (a) What is the best point estimate, based on the sample, to use for the population mean? I dollars (b) For each of the following sampling scenarios, determine whidch 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 Unclear Sampling scenario either Z or t The sample has size 15, and it is from a normally distributed population with an unknown standard deviation. The sample has size 17, and it is from a population with a distribution about which we know very little. The sample has size 90, and it is from a non-normally distributed population with a known standard deviation of 7839.
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