Use the following description to answer questions 1-4: The Law School Admission

Question

Use the following description to answer questions 1-4: The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. Although the figures may vary slightly from one administration to the next, the mean LSAT score for the population of all test-takers since the last test revision in 1991 is 150, with a standard deviation of 10. If you drew all possible random samples of size 100 from the population of LSAT test-takers and plotted the values of the mean from each sample, the resulting distribution would be the sampling distribution of the mean. Would this sampling distribution be a normal distribution? 1. What will be the value of the mean of the sampling distribution described in Question #1? 3. Calculate the value of the standard deviation for the sampling distribution described in Question Formula:-- If your sample size was more than 100 cases, would the standard error be the same, higher, or lower? Why? (2 pts) 4.

Explanation / Answer

1) Yes it will be normal

2) sample mean =150

3)sd of mean =10/sqrt (100)

=1

4) if sample size greater than 100 then standard error will be lower.

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