Question

Construct the indicated confidence interval for the population mean

Options:
A. "Constructing a confidence interval involves calculating the mean and standard deviation of the population."
B. "To build a confidence interval for the population mean, one must consider sample size and standard error."
C. "The indicated confidence interval is created by identifying the range within which the population mean is likely to fall."
D. "Constructing a confidence interval requires determining the margin of error and the level of significance."

Answer 1

To construct a confidence interval for a population mean, you need to consider the sample size and standard error. The confidence interval represents the range within which the population mean is likely to fall.

Step-by-step explanation:

To construct a confidence interval for a population mean, we need to consider the sample size and standard error. Here are the steps to construct the confidence interval:

1. Find the point estimate for the population mean.
2. Calculate the margin of error using the formula: margin of error = critical value * standard error.
3. Create the confidence interval by adding and subtracting the margin of error from the point estimate: (point estimate - margin of error, point estimate + margin of error).

The confidence interval represents the range within which the population mean is likely to fall with a certain level of confidence.