obt s/VN Steps in T Test Step1: Determine the Null and Alternative Hypothesis Họ: u= Ha: u + Step 2: Two-tailed Step 3: Select significant level a Step 4: T test Step 5: Find the critical value and determine if Tobt falls in the "reject" or "fail to reject" region of the Null hypothesis. Step 6: Calculate the Test statistic N= S = Step 7-9: State the conclusion based on the result of the step 5. There is a statistically significant difference between the two means if the Null hypothesis is rejected (include a scientific notation.) There is NO statistically significant difference between the two means if the Null hypothesis is NOT rejected (fail to reject, include a scientific notation.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Steps in T Test

T test
Say we had the following:
Population: µ=100, s=15
Sample: N=100, x105
Question: Is there a difference between the population mean(µ=100)
and sample mean (x =105)?
Is there a statistical difference between 100 and 105?
*Z test or T test? Since o is unknown,
test is appropriate.
The population standard deviation (6) is unknown.Instead, we use Sx (SD of estimated
population) for the T test)
Hypothesis testing for comparison of two means.
X-µ
s/VN
Tobt
:Tot value from the given data (evidence score)
Steps in T Test
Step1: Determine the Null and Alternative Hypothesis
Họ: µ=
Step 2: Two-tailed
Step 3: Select significant level a
Step 4: T test
Step 5: Find the critical value and determine if Tobt falls in the “reject" or "fail to
reject" region of the Null hypothesis.
Step 6: Calculate the Test statistic
N=
u =
S =
Step 7-9: State the conclusion based on the result of the step 5.
There is a statistically significant difference between the two means if the Null
hypothesis is rejected (include a scientific notation.)
There is NO statistically significant difference between the two means if the
Null hypothesis is NOT rejected (fail to reiect, include a scientific notation.)
Transcribed Image Text:T test Say we had the following: Population: µ=100, s=15 Sample: N=100, x105 Question: Is there a difference between the population mean(µ=100) and sample mean (x =105)? Is there a statistical difference between 100 and 105? *Z test or T test? Since o is unknown, test is appropriate. The population standard deviation (6) is unknown.Instead, we use Sx (SD of estimated population) for the T test) Hypothesis testing for comparison of two means. X-µ s/VN Tobt :Tot value from the given data (evidence score) Steps in T Test Step1: Determine the Null and Alternative Hypothesis Họ: µ= Step 2: Two-tailed Step 3: Select significant level a Step 4: T test Step 5: Find the critical value and determine if Tobt falls in the “reject" or "fail to reject" region of the Null hypothesis. Step 6: Calculate the Test statistic N= u = S = Step 7-9: State the conclusion based on the result of the step 5. There is a statistically significant difference between the two means if the Null hypothesis is rejected (include a scientific notation.) There is NO statistically significant difference between the two means if the Null hypothesis is NOT rejected (fail to reiect, include a scientific notation.)
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