Question

On a standardized science test, the seniors at Fillmore High School have a mean score of 430 with a standard deviation of 90.

For random samples of 100 seniors, what interval centered on the mean of the sampling distribution captures 68% of the mean scores? If necessary, round to the nearest tenth. Enter the interval from least to greatest.

For random samples of 100 seniors, 68% of the sample means fall between ____ and ___

Answer 1

For random samples of 100 seniors, 68% of the sample means fall between 340 and 520

Explanation:

As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).

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