Test the hypothesis using 5 steps. 1. A ten (10) randomly selected groceries in San Francisco has an average sales of 41 (x )thousand dollars every 6 months from various goods with a standard deviation of 5.2thousand dollars. Is this enough evidence to conclude that the groceries are not selling an average of 42 thousand dollars (µ) from various goods every 6 months? Test at 0.05 level of significance. Use one-tailed test.
Test the hypothesis using 5 steps. 1. A ten (10) randomly selected groceries in San Francisco has an average sales of 41 (x )thousand dollars every 6 months from various goods with a standard deviation of 5.2thousand dollars. Is this enough evidence to conclude that the groceries are not selling an average of 42 thousand dollars (µ) from various goods every 6 months? Test at 0.05 level of significance. Use one-tailed test.
MATLAB: An Introduction with Applications
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Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![WEEK 8 EXERCISES: T-test
Test the hypothesis using 5 steps.
1. A ten (10) randomly selected groceries in San Francisco has an average sales
of 41 (x)thousand dollars every 6 months from various goods with a standard
deviation of 5.2thousand dollars. Is this enough evidence to conclude that the
groceries are not selling an average of 42 thousand dollars (µ) from various
goods every 6 months? Test at 0.05 level of significance. Use one-tailed test.
To
2. A certain manager wishes to find out if the proposed system of operations
increases the gross sales of the products of the compared with existing system.
compare the results, six branches for each system are randomly selected for
assessment, the result is as follows:
Average sales in million:
Standard deviation:
No. of branches
Proposed system
x₁ = 42.5,
Existing system
X2 = 32.6
S₂= 4.8
12 = 6
Is the proposed system significantly better than the existing system? Test at
a=0.01(1%) and one-tailed test.
3. Oil wells in a large field produce an average of 33.5(µ) barrels per day.A
fifteen (15) randomly selected oil wells produce an average of 30 (x)barrels of
crude oil per day with a standard deviation of 3.5 barrels. Is this enough evidence
to conclude that the oil wells are not producing an average of 33.5(µ) barrels of
crude oil per day? Test at
S₁= 5.7.
n₁= 6,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e00f0f5-6a8b-4d4b-b8a0-de906847644e%2F59fa425d-619c-4322-82e1-894c29cecdb2%2Fazr08rn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:WEEK 8 EXERCISES: T-test
Test the hypothesis using 5 steps.
1. A ten (10) randomly selected groceries in San Francisco has an average sales
of 41 (x)thousand dollars every 6 months from various goods with a standard
deviation of 5.2thousand dollars. Is this enough evidence to conclude that the
groceries are not selling an average of 42 thousand dollars (µ) from various
goods every 6 months? Test at 0.05 level of significance. Use one-tailed test.
To
2. A certain manager wishes to find out if the proposed system of operations
increases the gross sales of the products of the compared with existing system.
compare the results, six branches for each system are randomly selected for
assessment, the result is as follows:
Average sales in million:
Standard deviation:
No. of branches
Proposed system
x₁ = 42.5,
Existing system
X2 = 32.6
S₂= 4.8
12 = 6
Is the proposed system significantly better than the existing system? Test at
a=0.01(1%) and one-tailed test.
3. Oil wells in a large field produce an average of 33.5(µ) barrels per day.A
fifteen (15) randomly selected oil wells produce an average of 30 (x)barrels of
crude oil per day with a standard deviation of 3.5 barrels. Is this enough evidence
to conclude that the oil wells are not producing an average of 33.5(µ) barrels of
crude oil per day? Test at
S₁= 5.7.
n₁= 6,
![a=0.1, level of significance. Use two-tailed test
4. In an attempt to compare the performance of students with more than one
personal electronic gadgets and those with no or only one personal electronic
gadget, The mean grade in one term and the standard deviation are shown in
the table:
Students with personal
electronic gadgets
0-1
>1
Mean
x₁ = 83
x₂ = 79
Standard
Deviation
Mean
Si=10
S₂ = 14
X₁ = 83
X2 = 79
Is there a significant difference in the mean grades of students with one or no personal
electronic gadget and those with more than one personal electronic gadgets? @ a = 0.05
and two-tailed test.
5. Perform Exercise no. 2, assuming one-tailed test, @a= 0.01 and n₁ = 15.
Students with personal
electronic gadgets
0-1
>1
sample
Standard
Deviation
n₁ = 12
m2 =12
Si= 10
S₂= 14
n₁ =15
n₂ = 12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e00f0f5-6a8b-4d4b-b8a0-de906847644e%2F59fa425d-619c-4322-82e1-894c29cecdb2%2Fyd36ji8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a=0.1, level of significance. Use two-tailed test
4. In an attempt to compare the performance of students with more than one
personal electronic gadgets and those with no or only one personal electronic
gadget, The mean grade in one term and the standard deviation are shown in
the table:
Students with personal
electronic gadgets
0-1
>1
Mean
x₁ = 83
x₂ = 79
Standard
Deviation
Mean
Si=10
S₂ = 14
X₁ = 83
X2 = 79
Is there a significant difference in the mean grades of students with one or no personal
electronic gadget and those with more than one personal electronic gadgets? @ a = 0.05
and two-tailed test.
5. Perform Exercise no. 2, assuming one-tailed test, @a= 0.01 and n₁ = 15.
Students with personal
electronic gadgets
0-1
>1
sample
Standard
Deviation
n₁ = 12
m2 =12
Si= 10
S₂= 14
n₁ =15
n₂ = 12
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