1. Formulate the null and the alternative Ho: hypotheses
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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![HYPOTHESIS TESTING
1. Formulate the null and the alternative Ho:
hypotheses
In symbol:
Ho: μ = 50
Ha: The average weight of bag of chemical
is not equal to 50 kilograms.
In symbol:
Ha:
2. Specify the following:
A. Level of Significance
A.
B. Types of Hypothesis Testing [one-tailed test B. two tailed test
(left-tailed or right-tailed) or a two-tailed test]
3. Specify the following:
A. The test statistic to be used. (t-test: one sample
mean or t-test: two sample means)
A.
B. Find the Degree of Freedom
Formula:
df = n-1 (for one-sample mean test)
B. df = n -1
df = (n + n₂) - 2 (for two-sample mean test)
df = 16-1
C. The critical or tabular value (t critical). (Can be
found on the given table of Tabular Value of T)
df = 15
C. 2.947
4. Compute for the value of the test statistic Formula:
(t computed) using the data from the population
(x-μ)√n
t=
and the sample/s.
Given:
хэ 48.1
μl -
n-29
s-0.9
Substitute the given to the formula and solve:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6dada089-e485-45bf-9c7c-f6d47d83123e%2Ff66db77c-0a74-4383-b93d-26c01cc064cb%2Fgsldvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:HYPOTHESIS TESTING
1. Formulate the null and the alternative Ho:
hypotheses
In symbol:
Ho: μ = 50
Ha: The average weight of bag of chemical
is not equal to 50 kilograms.
In symbol:
Ha:
2. Specify the following:
A. Level of Significance
A.
B. Types of Hypothesis Testing [one-tailed test B. two tailed test
(left-tailed or right-tailed) or a two-tailed test]
3. Specify the following:
A. The test statistic to be used. (t-test: one sample
mean or t-test: two sample means)
A.
B. Find the Degree of Freedom
Formula:
df = n-1 (for one-sample mean test)
B. df = n -1
df = (n + n₂) - 2 (for two-sample mean test)
df = 16-1
C. The critical or tabular value (t critical). (Can be
found on the given table of Tabular Value of T)
df = 15
C. 2.947
4. Compute for the value of the test statistic Formula:
(t computed) using the data from the population
(x-μ)√n
t=
and the sample/s.
Given:
хэ 48.1
μl -
n-29
s-0.9
Substitute the given to the formula and solve:
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