In: Statistics and Probability
For a recent "Smartest State in America" article, a journalist wants to know how many people with a bachelor's degree or higher are in each state. The journalist finds that there are an average of 5,000,000 people in each state with a bachelor's degree or higher, with a standard deviation of 450,000 people, normally distributed.
To further analyze her data, she wants to identify the amount of people that separates the lowest 12.5% of the means of the population with a bachelor's degree from the highest 87.5% in a sampling distribution of 25 states. Use Excel to find this amount of people.
Round x¯ to the nearest whole number.