What is probability that the sample mean will be greater than M=10 pounds?
Not what you're looking for?
At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was a gain of a mean=9 pounds with a standard deviation=6. The distribution of scores was approximately normal. A sample of n=4 student is selected and the average weight change is computed for the sample.
a) What is probability that the sample mean will be greater than M=10 pounds? In symbols, what is p(M>10)?
b) Of all the possible samples, what proportion will show an average weight? In symbols, what is p(M<0)?
c) What is the probability that the sample mean will be a gain of between M=9 and M=12 pounds? in symbols, what is p(9<M<12)?
Purchase this Solution
Solution Summary
The expert determines the probability that the sample mean will be greater than M=10 pounds.
Solution Preview
Hi there,
Here are my explanations:
a. ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.