Suppose that I happen to know that in the population of current college students in the U.S., the average level of satisfaction with life is 8.00, with a standard deviation of 3.00. (Satisfaction with life is measured on a scale from 1 to 15 with 1 = "totally unsatisfied" and 15 = "totally satisfied".) I suspect that college students in California have higher satisfaction with life. We have the sun, we have the mountains, we have the great stats professors. What's not to like? So I select a random sample of 36 college students from California and measure their satisfaction with life. This sample has a mean of 9.00 and a standard deviation of 2.5. Please answer the following questions based on this research question and data.

What is the probability of me reaching into the population and randomly selecting a student with a life-satisfaction score of 10 or higher? show and interpret findings

Wrap words around the standard deviation for the sample. What does it tell us? Explain.

Calculate the standard error of the mean for the sample and wrap words around it.