A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are shown in the table. The “before” value is matched to an “after” value. Are the sensory measurements, on average, lower after hypnotism? Test at a 5% significance level Subject A B C D E F G H 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
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are shown in the table. The “before” value is matched to an “after” value. Are the sensory measurements, on average, lower after hypnotism? Test at a 5% significance level Subject A B C D E F G H 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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[2] Test using independent and dependent t-test. (Show complete steps). May encode or handwritten. (Choose one t-test that is fit for the problem. Refer to the photo below)
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for randomly selected subjects are shown in the table. The “before” value is matched to an “after” value. Are the sensory measurements, on average, lower after hypnotism? Test at a 5% significance level
| Subject | A | B | C | D | E | F | G | H |
| 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 |
![INDEPENDENT / DEPENDENT T-TEST
T-TEST ONE SAMPLE MEAN
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance. (use a = 1% = 0.01)
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
tcomputed =
STEP 5: Make the decision.
Example:
The (tcomputed = -4.00|>|tcritical = ±2.947|
Since the |tcomputed| is greater than the |tcritical|, we shall reject the null
hypothesis (Ho) and accept the alternative hypothesis (Ha).
STEP 6: State the conclusion.
Example:
At 1% level of significance with df = 15, the arithmetic mean grade of 100
obtained by medical practitioners is not true.
T-TEST ONE SAMPLE MEAN (GOSETT T-TEST)
ž1-x2
t =
Ts1 (n1–1)]+[s2°(n2-1)]
[ni+n2] – 2
[무
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
ã1-x2
t =
[s1 (n1–1)]+[s2°(n2-1)]
[n1+n2] – 2
n1
STEP 5: Make the decision.
STEP 6: Draw a conclusion.
PAIRED T-TEST (DEPENDENT T-TEST)
STEP 1: State the null and the alternative hypotheses.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute for t-static.
STEP 5: Make the decision.
STEP 6: Conclusion](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba85d044-d3e1-4242-b451-cd6dbefb346e%2Fb3bc1758-4df8-4a54-9a7c-9e9e6d655d31%2Fhjoxh36_processed.png&w=3840&q=75)
Transcribed Image Text:INDEPENDENT / DEPENDENT T-TEST
T-TEST ONE SAMPLE MEAN
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance. (use a = 1% = 0.01)
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
tcomputed =
STEP 5: Make the decision.
Example:
The (tcomputed = -4.00|>|tcritical = ±2.947|
Since the |tcomputed| is greater than the |tcritical|, we shall reject the null
hypothesis (Ho) and accept the alternative hypothesis (Ha).
STEP 6: State the conclusion.
Example:
At 1% level of significance with df = 15, the arithmetic mean grade of 100
obtained by medical practitioners is not true.
T-TEST ONE SAMPLE MEAN (GOSETT T-TEST)
ž1-x2
t =
Ts1 (n1–1)]+[s2°(n2-1)]
[ni+n2] – 2
[무
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
ã1-x2
t =
[s1 (n1–1)]+[s2°(n2-1)]
[n1+n2] – 2
n1
STEP 5: Make the decision.
STEP 6: Draw a conclusion.
PAIRED T-TEST (DEPENDENT T-TEST)
STEP 1: State the null and the alternative hypotheses.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute for t-static.
STEP 5: Make the decision.
STEP 6: Conclusion
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