Question: I need help on how to appropriately answer the questions in bold below, given the information that I have supplied. Thank you in advance for

I need help on how to appropriately answer the questions in bold below, given the information that I have supplied. Thank you in advance for the help!

The National Center for Educational Statistics (NCES) has published a complete summary of SAT scores for each U.S. state. According to the 2017 report, Arizona high school seniors taking the exam averaged 1116 points for the total exam with a standard deviation of 179 points.

Assume you have taken repeated random samples of size 100 from a population of Arizona high school seniors and obtained their SAT scores.

What would you expect to see for the value of the overall mean of the scores?

What would be the standard error of the of the distribution of sample means?

What would happen to the expected value of the mean and standard error of the distribution of sample means if the sample size was decreased to 50?

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