The heights of young adult females in the United States are said to have a population standard deviation of LaTeX: \sigma = 2.6=2.6 inches. A sample was taken of LaTeX: n = 85=85 young adult females at BYU-Idaho and the mean was computed to be LaTeX: \bar{x} = 65.4x¯=65.4 inches.

The 95% confidence interval for the population mean height of young adult females is (64.8 inches, 66.0 inches).

Step-by-step explanation:

Let X = heights of young adult females in the United States.

The standard deviation of the heights of young adult females in the United States is, σ = 2.6 inches.

A sample of n = 85 young adult females at BYU-Idaho is selected.

The sample mean height of these 85 females is, .

The (1 - α)% confidence interval for the population mean is:

The critical value of z for 95% confidence level is:

Compute the 95% confidence interval for the population mean height of young adult females as follows:

Thus, the 95% confidence interval for the population mean height of young adult females is (64.8 inches, 66.0 inches).

6 cm

step-by-step explanation: