Write down the common notations for the following. mean of the sampling distribution of the sample mean variance of the sampling distribution of the sample mean standard error of the mean Suppose in the population, the mean IQ score is 100 and its standard deviation is 15. I randomly sampled 50 people from the population and found that the mean IQ score of these 50 participants is 103. Over repeated samples (with a fixed n = 50), what is the probability of getting a sample mean that is equal to or greater than the one I got with my sample (i.e., greater than 103)? Show work and attach R code.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Write down the common notations for the following.
mean of the sampling distribution of the sample mean
variance of the sampling distribution of the sample mean
standard error of the mean
Suppose in the population, the mean IQ score is 100 and its standard deviation
is 15. I randomly sampled 50 people from the population and found that the mean IQ
score of these 50 participants is 103. Over repeated samples (with a fixed n = 50), what
is the probability of getting a sample mean that is equal to or greater than the one I got
with my sample (i.e., greater than 103)? Show work and attach R. code.
Transcribed Image Text:Write down the common notations for the following. mean of the sampling distribution of the sample mean variance of the sampling distribution of the sample mean standard error of the mean Suppose in the population, the mean IQ score is 100 and its standard deviation is 15. I randomly sampled 50 people from the population and found that the mean IQ score of these 50 participants is 103. Over repeated samples (with a fixed n = 50), what is the probability of getting a sample mean that is equal to or greater than the one I got with my sample (i.e., greater than 103)? Show work and attach R. code.
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