THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 130

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Times spent studying by students in the week before final exams follow a normal distribution with standard deviation 9 hours.A random sample of 5 students was taken in order to estimate the mean study time for the population of all students.
-What is the probability that the sample mean exceeds the population mean by more than 2.1 hours?

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Definitions:

Linear Regression

A statistical method for modeling the relationship between a dependent variable and one or more independent variables, assuming a linear relationship.

Least Squares

A mathematical approach used in regression analysis to minimize the sum of the squares of the differences between observed and predicted values.

Goals/G

In sports statistics, a metric that indicates the average number of goals scored per game by a team or player.

Win%

A statistic that represents the percentage of times a team or individual has won over the total number of games or events participated in.