Testing of Hypothesis:
1) Test For Single Mean:
Example: A sample of 900 members as a mean of 3.4cms and a standard deviation of 2.6cms .Cane
the sample be regarded as drawn from the population with mean 3.25 or not at 5% l.o.s
Explanation: The sample can
1) Population:- A group of individuals under investigation is called population (or) A group of
animates (or) in animates under study.
The population may be finite (or) infinite. In the case of infinite population, a complete
Measures Of Dispersion
Measures of Dispersion
Advantages and Disadvantages
Properties of Dispersion
1) Explain the measures of dispersion.
A) The first important characteristic of a distribution is given by central tendency whereas the
Measures Of Central Tendency
Types of Average
Advantages and Disadvantages of Average
Properties of Average
1) Define the term average and state the features of a good average.
A) In many a case, like the distributions of height, weight, marks, pr
1) A dealer in refrigerators estimated from his past experience that probabilities of his selling refrigerators
in a day. These are as follows :
s sold in a
Find the mean
7) Random variable: A random variable is a function defined on a sample space associated with a random
experiment assuming any value from R and assigning a real number to each and every sample point of the
random experiment. A random variable is denoted b
Problems on Probability:
1) What is the probability of getting one head when we tossed two coins ?
Total number of possible outcomes S=cfw_HH,HT,TH,TT=4
Number of possible desired outcomes E = cfw_HT, TH = 2
Therefore the probability of getti
Probability basic concepts
1) Random Experiment:- An experiment is defined to be random if the results of the experiment
depend on the chance only.
For example if a coin is tossed, th
For each question, explain in detail what Mr. or Ms. Mistake are doing wrong. If appropriate,
explain what they could do be doing better
1) Mr. Mistake decides to run a regression of presidential Democratic vote share on state
unemployment. He in
1. Exercise 17-2 on page 762 of your textbook.
Using 1997 as the base yearIndex for 1998 = (14.50/6.50)*100 = 223.08
Index for 1999 = (7.50/6.50)*100 = 115.38
Index for 2000 = (10/6.50)*100 = 153.85
Index for 2001 = (14.25/6.50)*100 = 219.23
Around 1980, China adopted the so-called one-child policy, in which parents were strongly
encouraged to have only one child (except under exceptional circumstances, for example if
their rst child was disabled). A series of nancial penalties for
1. Exercise 12-14 on page 526 of the textbook.
500 180 = 320
9 X 20 = 180
11 2 = 9
320/2 = 160
160/20 = 8.00
There are 3 Treatments. The total sample size is 12.
Select a level of significa
1. Exercise 1330 on page 588 of your textbook. (10 marks)
Null Hypothesis: H0: = There is no positive correlation between family
income and student GPA).
Alternative Hypothesis: Ha: > There is positive correlation between family
income and s
Show all work (dont just provide final answers) to allow partial credit.
It is preferable that you type your solution and use the computer to
produce any graphs. However, it is acceptable to develop the solution
by hand and submit
The general manager of an engineering firm wants to know if a technical artist's experience
influences the quality of their work. A random sample of 24 artists is selected and their years of
work experience and quality rating (as assessed by their supervi
STA 215 Winter 2016 Instructor: Olsen THQ 7 10 points Due: March 31
Directions: Complete each problem, and read each one carefully. To alleviate confusion, I have
included all information from the textbook necessary to complete each problem. I have also
1. It is suspected that a coin is not balanced (not fair). Let p be the probability of tossing a head.
To test H0: p = 0.5 against the alternative H1: p > 0.5, a coin is tossed 15 times.
Let X be the number of times a head is observed in the 15 tosses of
What test is used to compare the rank order differences of two
Question 1 options:
Question 2 (1 point)
What type of tests can be used if the assumptions of normalcy
are being met?
Use the following scenario and data for all the questions
In the past, the population proportion of consumers preferring orange juice with no pulp was
. To test if this population proportion has changed, a random sample of
consumers is selected. Among
1) Z test for single mean H0: u = u0, H1: u =/= u0
2) T test for single mean H0: u = u0, H1: u =/= u0
3) T test for two means H0: u 1= u2, H1: u1 =/= u2
4) T test for paired samples H0: d = 0, H1: d =/= 0, here d = u1 u2
5) Z test for single proportion H0
The results can be occurred in random way or cant be expected in advance
before going to do particular experiment.
Flip a fair coin, then results are known such as head and tail but we
cannot expect which result will happen.
Topics of the test:
Regression, Correlation, Chi-square tests, Permutations and Combinations, Probability, expected value of
a random variable.
Q. 1 According to the records of the National Safety Council, accidental deaths in the United States
Q. 1 A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have
fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three
kinds of pets, how many patrons have none of t
Q.1 Solve the following questions:
1. How many words can be formed by using all letters of TIHAR (1 mark)
There are five letters can be filled in five places in 5p5 ways i.e., 5!
2. Five digits are given as 3, 1
(Hypothetical) The General Social Survey measures the amount of hours that individuals
spend on the internet each week. Males use the Internet 10.17 hours per week. (standard
deviation 11.71 N = 118), while women use the Internet 9.08 hours per week (s
Conduct a hypothesis test for the following scenario.
A coffee-dispensing machine is supposed to deliver 12 ounces of liquid into a large paper cup, but the costumer
believes that the actual amount is less. As a test he plans to obtain a sample of 30 c
Regression Problems: Step by Step solutions
Instructions to obtain Scatter plot using Minitab:
Store the Crude oil and Gasoline in the columns of the Minitab
Choose Graph Scatter plot Simple
Specify Crude oil in the X variabl