## 4) The Law School Admission Test (LSAT) is an examination for prospective law school students. Scores on the LSAT are known to have a normal

Question

4) The Law School Admission Test (LSAT) is an examination for prospective law school students. Scores on the LSAT are known to have a normal distribution and a population standard deviation of σ = 10. A random sample of 250 LSAT takers produced a sample mean of 502. Compute a 99% confidence interval for the population mean LSAT score. Show all work, and round all decimals that you use to three decimal places.

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3 hours 2021-09-15T00:26:32+00:00 1 Answer 0

The 99% confidence interval for the population mean LSAT score is between 500.371 and 503.629

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So: Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so Now, find the margin of error M as such In which is the standard deviation of the population and n is the size of the sample. The lower end of the interval is the sample mean subtracted by M. So it is 502 – 1.629 = 500.371

The upper end of the interval is the sample mean added to M. So it is 502 + 1.629 = 503.629

The 99% confidence interval for the population mean LSAT score is between 500.371 and 503.629