Discuss the below problems in detail:
Q1. What are the steps in formal hypothesis testing
Q2. Test the hypothesis that a population mean is 150 against the alternate that it is not 150. Assume a sample of 400 was taken and the sample mean was computed to be 152.2575 and the sample standard deviation was 15. Assume ratio level data. We do not know the population standard deviation.
Q3 . What hypothesis testing model would be used under each of the following conditions. The information given in each cell is: level of measurement, number of groups, sample size to be taken, parameter of interest and any qualifications.
Conditions
|
Model
|
Ratio data
One group
Large sample
Population mean
Don't know sigma
|
Generalized Likelihood Ratio
|
Ratio data
Two groups
Large sample
Population variances
Populations are normally distributed
|
Chi-square
|
Nominal data
Two factors of classification
Large sample
Test for independence
Expected frequencies condition met
|
Two-sample
|
Ratio data
One group
Small sample
Population mean
Don't know sigma
Population is normally distributed
|
Bayesian
|
Q4. What is the purpose of statistics?
Q5. Why does the p-value approach to hypothesis testing "work"?
State the decision given the p values
Pvalue
|
Alpha
|
Decision
|
0.04
|
0.01.
|
Chi-square
|
0.04
|
0.05
|
Bayesian
|
0.12
|
0.15
|
Randomized
|
0.006
|
0.005
|
|
Attachment:- Steps of hypothesis.rar