## 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.

in progress
0

Math
3 hours
2021-09-15T00:26:32+00:00
2021-09-15T00:26:32+00:00 1 Answer
0
## Answers ( )

Answer: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

findour 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 suchIn which is the standard deviation of the population and n is the size of the sample.

The

lower endof the interval is the sample mean subtracted by M. So it is 502 – 1.629 = 500.371The

upper endof the interval is the sample mean added to M. So it is 502 + 1.629 = 503.629The 99% confidence interval for the population mean LSAT score is between 500.371 and 503.629