HYPOTHESIS TESTING 1. Formulate the null and the Ho: The average lifespan of alternative hypotheses brand X Alkaline AA and Y Alkaline AA are equal. In symbol: Ho: H1 = H2 На: In symbol: Ha: H1< H2 2. Specify the following: A. Level of Significance A. a = 0.05 B. Types of Hypothesis Testing B. one-tailed test (left tailed) [one-tailed test (left-tailed or right-tailed) or a two-tailed test] 3. Specify the following: A. The test statistic to be used. A. (z-test: one sample mean or z- test: two sample means) B. The critical or tabular value В. (Zeritical). (Can be found on the given table of Tabular Value of Z) 4. Compute for the value of the Formula: test statistic (zeomputed) using Formula: z = the data from the population and the sample/s. Zu Tu Given: X1-9.1 S1-1.9 S2-2.1 n1-120 n2- Substitute the given to the formula and solve: 5. Make a decision. Decision: (Reject Ho and Accept Ha or Accept Ho and Reject Ha) 6. State the conclusion Conclusion:
HYPOTHESIS TESTING 1. Formulate the null and the Ho: The average lifespan of alternative hypotheses brand X Alkaline AA and Y Alkaline AA are equal. In symbol: Ho: H1 = H2 На: In symbol: Ha: H1< H2 2. Specify the following: A. Level of Significance A. a = 0.05 B. Types of Hypothesis Testing B. one-tailed test (left tailed) [one-tailed test (left-tailed or right-tailed) or a two-tailed test] 3. Specify the following: A. The test statistic to be used. A. (z-test: one sample mean or z- test: two sample means) B. The critical or tabular value В. (Zeritical). (Can be found on the given table of Tabular Value of Z) 4. Compute for the value of the Formula: test statistic (zeomputed) using Formula: z = the data from the population and the sample/s. Zu Tu Given: X1-9.1 S1-1.9 S2-2.1 n1-120 n2- Substitute the given to the formula and solve: 5. Make a decision. Decision: (Reject Ho and Accept Ha or Accept Ho and Reject Ha) 6. State the conclusion Conclusion:
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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![Instructions: Complete the table by following the steps and procedures in Hypothesis Testing.
The average lifetime of 120 Brand X Alkaline AA batteries and 120 Brand Y alkaline AA batteries were
found to be 9.1 hours and 9.6 hours respectively. Suppose the standard deviations of lifetimes are 1.9
for Brand X batteries and 2.1 hours for Brand Y batteries, test the hypothesis using a = 0.05
HYPOTHESIS TESTING
1. Formulate the null and the Ho: The average lifespan of
alternative hypotheses
brand X Alkaline AA and Y
Alkaline AA are equal.
In symbol:
Ho: H1 = H2
На:
In symbol:
Ha: H < H2
2. Specify the following:
A. Level of Significance
A. a = 0.05
B. Types of Hypothesis Testing B. one-tailed test (left tailed)
[one-tailed test (left-tailed or
right-tailed) or a two-tailed
test]
3. Specify the following:
A. The test statistic to be used. A.
(z-test: one sample mean or z-
test: two sample means)
B. The critical or tabular value
В.
(Zeritical). (Can be found on
the given table of Tabular
Value of Z)
4. Compute for the value of the Formula:
test statistic (zeomputed) using Formula: z =
the data from the population
and the sample/s.
Given:
X-9.1
S1-1.9
S2-2.1
п, -120
n2-
Substitute the given to the formula
and solve:
5. Make a decision.
Decision:
(Reject Ho and Accept Ha or
Accept Ho and Reject Ha)
6. State the conclusion
Conclusion:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe481446a-4248-41c0-9133-d71d68957c10%2F0772290c-c031-4825-bbf5-e0d056316522%2Fir7h2n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Instructions: Complete the table by following the steps and procedures in Hypothesis Testing.
The average lifetime of 120 Brand X Alkaline AA batteries and 120 Brand Y alkaline AA batteries were
found to be 9.1 hours and 9.6 hours respectively. Suppose the standard deviations of lifetimes are 1.9
for Brand X batteries and 2.1 hours for Brand Y batteries, test the hypothesis using a = 0.05
HYPOTHESIS TESTING
1. Formulate the null and the Ho: The average lifespan of
alternative hypotheses
brand X Alkaline AA and Y
Alkaline AA are equal.
In symbol:
Ho: H1 = H2
На:
In symbol:
Ha: H < H2
2. Specify the following:
A. Level of Significance
A. a = 0.05
B. Types of Hypothesis Testing B. one-tailed test (left tailed)
[one-tailed test (left-tailed or
right-tailed) or a two-tailed
test]
3. Specify the following:
A. The test statistic to be used. A.
(z-test: one sample mean or z-
test: two sample means)
B. The critical or tabular value
В.
(Zeritical). (Can be found on
the given table of Tabular
Value of Z)
4. Compute for the value of the Formula:
test statistic (zeomputed) using Formula: z =
the data from the population
and the sample/s.
Given:
X-9.1
S1-1.9
S2-2.1
п, -120
n2-
Substitute the given to the formula
and solve:
5. Make a decision.
Decision:
(Reject Ho and Accept Ha or
Accept Ho and Reject Ha)
6. State the conclusion
Conclusion:
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