Question

You ace gven the sample mean and the populaton standard devabon Use this information to construct the 906 and 95% contidonce intervak for the population mrean thterpent she iesalts and compare the weaths of the considence indervals. If corvenient, use technology to constrict the confidence intervais A random sargile of 45 home theater sritems hos a mean pice of $13600. Assume the pogulation slandad devation 51770

Answer 1

To construct a confidence interval for the population mean, use the formula: CI = sample mean ± Z * (population standard deviation / sqrt(n)), where Z is the z-score corresponding to the desired confidence level. For a 90% confidence interval, Z = 1.645.

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the formula: CI = sample mean ± Z * (population standard deviation / sqrt(n)), where Z is the z-score corresponding to the desired confidence level. For a 90% confidence interval, Z = 1.645. So:

CI = 13600 ± 1.645 * (51770 / sqrt(45))

Calculating this expression will give you the lower and upper bounds of the confidence interval.