Complete the table by following the steps and procedures in Hypothesis Testing. A chemical company alleged that the average weight of its bag of chemical is 50 kilograms with a standard deviation of 0.9 kilograms. A sample of 29 bags was taken and revealed a mean weight of 48.1 kilograms. Shall we accept the allegation of the chemical company? Use 0.01 as level of significance. HYPOTHESIS TESTING 1. Formulate the null and the Ho: alternative hypotheses In symbol: Ho: μ = 50 Ha: The average weight of bag of chemical s not equal to 50 kilograms. In symbol: Ha: 2. Specify the following: A. Level of Significance A. B. Types of Hypothesis Testing B. two tailed test [one-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) B. Find the Degree of Freedom Formula: df = n 1 (for one-sample B. df = n-1 mean test) df = 16-1 df (n₁ + n₂) 2 (for two- sample mean test) df = 15 A.
Complete the table by following the steps and procedures in Hypothesis Testing. A chemical company alleged that the average weight of its bag of chemical is 50 kilograms with a standard deviation of 0.9 kilograms. A sample of 29 bags was taken and revealed a mean weight of 48.1 kilograms. Shall we accept the allegation of the chemical company? Use 0.01 as level of significance. HYPOTHESIS TESTING 1. Formulate the null and the Ho: alternative hypotheses In symbol: Ho: μ = 50 Ha: The average weight of bag of chemical s not equal to 50 kilograms. In symbol: Ha: 2. Specify the following: A. Level of Significance A. B. Types of Hypothesis Testing B. two tailed test [one-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) B. Find the Degree of Freedom Formula: df = n 1 (for one-sample B. df = n-1 mean test) df = 16-1 df (n₁ + n₂) 2 (for two- sample mean test) df = 15 A.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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![Complete the table by following the steps and procedures in Hypothesis Testing.
A chemical company alleged that the average weight of its bag of chemical is 50 kilograms with a
standard deviation of 0.9 kilograms. A sample of 29 bags was taken and revealed a mean weight of
48.1 kilograms. Shall we accept the allegation of the chemical company? Use 0.01 as level of
significance.
HYPOTHESIS TESTING
1. Formulate the null and the Ho:
alternative 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 B. two tailed test
[one-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)
B. Find the Degree of Freedom
Formula:
df = n 1 (for one-sample B. df = n-1
mean test)
df = 16-1
df = (₁ + n₂) 2 (for two-
sample mean test)
df = 15
C. The critical or tabular value
(teritical). (Can be found on C. 2.947
the given table of Tabular
Value of T)
4. Compute for the value of the Formula:
test statistic (t computed) using
(x-µ)√n
the data from the population
and the sample/s.
Given:
X-48.1
H-
n-29
s-0.9
Substitute the given to the formula
and solve:
Decision:
5. Make a decision.
(Reject Ho and Accept Ha or
Accept Ho and Reject Ha)
6. State the conclusion
Conclusion:
A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F201c1221-b884-4253-a700-bcc0fa89fea9%2F9b066ce2-92e9-4a5f-b6e9-54063a8807bf%2Foriyj74_processed.png&w=3840&q=75)
Transcribed Image Text:Complete the table by following the steps and procedures in Hypothesis Testing.
A chemical company alleged that the average weight of its bag of chemical is 50 kilograms with a
standard deviation of 0.9 kilograms. A sample of 29 bags was taken and revealed a mean weight of
48.1 kilograms. Shall we accept the allegation of the chemical company? Use 0.01 as level of
significance.
HYPOTHESIS TESTING
1. Formulate the null and the Ho:
alternative 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 B. two tailed test
[one-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)
B. Find the Degree of Freedom
Formula:
df = n 1 (for one-sample B. df = n-1
mean test)
df = 16-1
df = (₁ + n₂) 2 (for two-
sample mean test)
df = 15
C. The critical or tabular value
(teritical). (Can be found on C. 2.947
the given table of Tabular
Value of T)
4. Compute for the value of the Formula:
test statistic (t computed) using
(x-µ)√n
the data from the population
and the sample/s.
Given:
X-48.1
H-
n-29
s-0.9
Substitute the given to the formula
and solve:
Decision:
5. Make a decision.
(Reject Ho and Accept Ha or
Accept Ho and Reject Ha)
6. State the conclusion
Conclusion:
A.
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