If a school district takes a random sample of 51 Math SAT scores and finds that...

If a school district takes a random sample of 51 Math SAT scores and finds that the average is 464, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district.

≤ μ ≤

Expert Solution

Solution :

Given that,

Z/2 = Z0.005 = 2.576

Margin of error = E = Z/2 * ( / $\sqrt$ n)

= 2.576 * ( 100 / $\sqrt$ 51 )

= 36.07

At 99% confidence interval estimate of the population mean is,

- E + E

464 - 36.07 464 + 36.07

427.93 500.07

orchestra answered 2 years ago

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