Question

A random sample of 45 observations with a mean of 69 is selected from a normally distributed population. Assume the population standard deviation is 25. In developing a 95% confidence interval estimate for the population mean, determine the following values:

a) [Do not round] Point estimate
Options:
a. 69
b. 45
c. 25
d. 95

Answer 1

The point estimate for the population mean in constructing a 95% confidence interval is the sample mean; in this case, it is 69.

Step-by-step explanation:

The question regards the construction of a 95% confidence interval for the population mean from a normally distributed population, given a sample mean and standard deviation. The point estimate for the population mean in this scenario is the sample mean, which is the best estimate of the population mean we have from our sample.

In this case, the sample mean is given as 69. Therefore, the point estimate of the population mean is also 69. This is because when constructing a confidence interval, the center of that interval is the point estimate or the sample mean.