Testing the Null Hypothesis: Private vs State School Example
Not what you're looking for?
Suppose you want to study the population of full-time college students in State X. In this state, there are 200,000 full-time college students. Out of these students,50,000 students study at private schools, and the other 150,000 students study at state schools. You have drawn a stratified sample using private school students and state school students as the two strata. For each student selected, you recorded how much money the student spent on tuition and other college expenses (expense) in 2009. The results are as follows:
Private School Students: n1 = 100, X1 = 30,000, s1 = 10,000.
State School Students: n2 = 200, X2 = 15,000, s2 = 4000.
(a) Let μ1 denote the mean "expense" of a private school student in State X in 2009. At a 95% level of confidence, test the null hypothesis that μ1 did not exceed $25,000.
(b) At a 95% level of confidence, test the null hypothesis that on the average, the expense by a private school student in 2009 did not exceed the expense by a state school student by more than $12,000.
Purchase this Solution
Solution Summary
This solution provides assistance with testing the null hypothesis for the example problem given.
Solution Preview
Suppose you want to study the population of full-time college students in State X. In this state, there are 200,000 full-time college students. Out of these students, 50,000 students study at private schools, and the other 150,000 students study at state schools.
You have drawn a stratified sample using private school students and state school students as the two strata. For each student selected, you recorded how much money the ...
Education
- BSc, Meerut University
- MSc, Meerut University
- MPhil, Institute of Advanced Studies
- MSc, AIT
Recent Feedback
- "Perfect, thank you so much!!! I will definitely request you in the future! You are amazing!"
- "Thank you. "
- "Thank you so much I have two more that I need your help with if your available."
- "Thank you, I was wondering why you rejected me the first time."
- "Thanks again."
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.