MATH SOLVE

2 months ago

Q:
# Scores on the SAT college entrance test in a recent year were roughly Normal with mean 1026 and standard deviation 209. You choose an SRS of 100 students and find their average SAT score, x-bar. If you repeatedly take SRS of 100 students and calculate x-bar for each sample, then the mean of the sampling distribution you create will be closest to

Accepted Solution

A:

Answer:By the Central Limit Theorem, the mean of the sampling distribution you create will be closest to 1026.Step-by-step explanation:The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], a large sample size can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\frac{\sigma}{\sqrt{n}}[/tex].In this problem, we have that:Scores on the SAT college entrance test in a recent year were roughly Normal with mean 1026 and standard deviation 209. If you repeatedly take SRS of 100 students and calculate x-bar for each sample, then the mean of the sampling distribution you create will be closest to...By the Central Limit Theorem, the mean of the sampling distribution you create will be closest to 1026.