1. A study was condacted to investigate the effectiveness of lypnotism in reducing pain. Results for randomly selected subjects are given in tbe table. The values ze before and after hypnosis; the measrements re in centimetern on a pain scale. Lager ambers indicate bigher leels of pain Sayet 6.5 63 Ater 24 34 20 e-Afer Use a S significance level to test the claim that the sensory measurements are lower ater hypnotism
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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..| 7
Math 2
Statistics
Class Participation 18
Chapter 20
Last Name
First Name:
Calculate the value of the test statistic
1. A study was conducted to investigate the effectiveness of hypnotism in reducing
pain. Results for randomly selected subjects are given in the table. The values
are before and after hypnosis; the measurements are in centimeters on a pain
scale. Larger numbers indicate higher levels of pain
Subject
D
E
G
A
B
F
Before
6.6
6.5
9.0
10.3
11.3
8.1
6.3
11.6
After
6.8
2.4
7.4
8.5
8.1
6.1
3.4
2.0
Before - After
Use a 5% significance level to test the claim that the sensory measurements are lowes
What is the value of the p-value? Illustrate the p-value on the graph in step c.
after hypnotism.
1. State the mill and the altemative hypothesis using the proper notation established in class.
Но:
d Plot the statistic on the graph of the distrībution In which region does the test point lie?
На
Fill in the blanks. In the second blank fill in the appropriate sign: > or s
b. Is the sample random?
p-value=
- 0.05 =a
Is the distrībution approximately nomal (draw a boxplot) or is the sample size at least
30?
e. Select the proper decision zbout the mull hypothesis.
Have the conditions of the test been satisfied? (For the purpo0se of this class exercise,
contirue with the test even if the conditions are not satisfied)
Reject Ho
Fail to Reject Ho
f Interpret the decision in terms of the altemative hypothesis.
c. What is the significance level?
How many degrees of freedom are associated with this problem?
df =
What is the value(3) of the critical value(3)? Look this value up on a table!
ta=
Fully label the distribution shown below.
g Construct the 90% confidence interval.
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