The Law School Admission Test (LSAT) is designed so that test scores are normall

Question

The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. The mean LSAT score for the population of all test-takers in 2005 was 154.35 with a standard deviation of 5.62. If the LSAT scores were not normally distributed, would the sampling distribution of the mean be a normal distribution if the sample size was 100? a. No. b. Yes The Law School Admission Test (LSAT) is designed so that test scores are normally distributed. The mean LSAT score for the population of all test-takers in 2005 was 154.35 with a standard deviation of 5.62 (Use this information for the remaining questions.) 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? a. No. b. Yes. 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. What is the value of the mean of the sampling distribution? Calculate the value of the standard error of the mean for the sampling distribution for 100 samples.

Explanation / Answer

Yes , it would be a normal distribution because we are checking it for means of sample distribution

14. Mean of the sampling distribution and population distribution will be same as 154.35

15. Standard error will be standard deviation/ sqrt(size) =5.62/sqt(100)=0.562

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