You would like to construct a 99% confidence interval to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 61 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit.

(a) What is the best point estimate, based on the sample, to use for the population mean?

(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 + refers to at distribution.)

You would like to construct a 99% connidence intervai to estimate today's population mean temperature, so you make a series of measurements (a random sample) throughout the day. The mean of these measurements is 61 degrees Fahrenheit, and their standard deviation is 4 degrees Fahrenheit. (a) What is the best point estimate, based on the sample, to use for the population mean? degrees (b) for each of the following sampling scenarios, determine which distribution whould be used to calculate the critical value for the 99% contidence interval for the populaton mean. (In the table, 2 refers to a standard normal distribution, and t refers to a t distribition.). b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value or 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.)