Asimple random sample of 125 sat scores has a mean of 1522. assume that sat scores have a population standard deviation of 335. construct a 95% confidence interval estimate of the mean sat score and then correctly interpret your interval.

Step-by-step explanation:

Since the population standard deviation , is known, we use the z confidence interval for the mean.

This is given by:

For a 95% confidence interval we use .

It was also given that: , and

Let us substitute the values to get:

Interpretation:

We can say with 95% confidence that the interval between 1463.3 and 1580.7 SAT scores contains the population mean based on the sample 125 SAT scores.