Review Final STAT 210
Objective type questions: chapter 1-13
Problems: chapter 9,10,12, 13
Read the text book and solve the self review tests at the end of each chapter
Review the quiz questions from all the quizzes.
Review the solved problems from chapters 9, 10, 12, 13
Review solved problems posted on website.
Guidelines to solve a Testing of Hypothesis problem
Examples: 9.19
What is the characteristic (variable) under study?
X=hours spent by adults on chores during weekends.
What is the population under consideration?
Population consists of all adults.
What are the population parameters?
Population mean mu = average hours spent by adults on chores during weekends.
Population standard deviation sigma = standard deviation of hours spent…
Are their values given ?
No. Both parameters are unknown.
What is the researcher’s hypothesis about?
Researcher’ hypothesis is about the value of the population average mu.
His claim is that the average hours spent by adults on chores during weekends is less than 14 hours.
State null and alternative hypothesis in this case.
H0: mu = 14 hrs vs H1: mu 14 hrs
Is your alternative one-tailed or two tailed?
One tailed (left tailed)
How many samples are given?
Just one in this case.
What is the size of the sample?
200 adults.
Is this a large sample or small?
Since the variable under study is a continuous variable, this is a large sample.
What test would you apply in this scenario? (give a justification)
I would apply a one sample z-test. Because we are given with a single sample which is large. Though the sigma value is not known, the large size of sample n=200 justifies the choice of z-test.
What is the value of the test statistics?
Z = (13.75-14)/(3.0/√200) = -1.1785
Compute the p-value corresponding to z = -1.1785
p-value = area to the left of -1.18 = 0.1190 (from normal table)
What should be your decision ?
Since p-value higher than .05, we make a decision not to reject null.
What is the conclusion in terms of the problem?
The sample data supports the null hypothesis hence based on sample evidence we conclude that adults do spend on the average 14 hrs in chores during weekends