Please just a answer: Sample size for store 3: The degrees of freedom for store 1, 2, and 3: P-Value P(T=t) two tail* for stores 1, 2, and 3.
Please just a answer: Sample size for store 3: The degrees of freedom for store 1, 2, and 3: P-Value P(T=t) two tail* for stores 1, 2, and 3.
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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Question
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Please just a answer:
Sample size for store 3:
The degrees of freedom for store 1, 2, and 3:
P-Value P(T=t) two tail* for stores 1, 2, and 3.
![Problem: Customers are complaining about
2 You are the owner of three local sandwich shops. Recently you've received complaints from
3 customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of
4 quality assurance, data was collected on all footlong sub sandwiches made over the period of an
5 hour at each store. Determined which, if any, of your stores are making sub sandwiches that are
6 significantly shorter than 12 inches. You will conduct threet-tests, one for each store. You want to
7 be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for
8 'claims over footlong sub' for a historical perspective and how a company used statistics to insure
9 consistent quality.)
10
Statistics
11
Sandwich Measurements
Store 1
Store 2
Store 3
12
Store 1
Store 2
Store 3
Sample Size
Mean (length)
Variance
Standard Deviation
18
13
8.8
9.1
9.0
11.00
11.00
12.10
14
11.4
11.6
12.5
2.31
2.25
15
13.4
13.4
15.1
16
11.3
11.4
14.3
1.52
1.50
2.18
17
10.1
10.3
10.8
Hypothesized Mean (M)
Difference in Means (X - M)
Standard Error
T-Statistic
Degrees of Freedom
18
12.4
12.4
13.8
12
12
12
19
10.4
11.2
-1.00
-1.00
0.1
10.6
20
8.9
9.2
9.1
0.36
0.53
0.49
21
10.4
11.1
-2.79
-1.89
0.21
22
11.8
14.0
23
12.8
14.3
24
9.3
8.7
P-value P(T=t) two-tail*
25
12.6
13.7
*Remember that the T.DIST.2T() function requires the t-statistic
argument to be an absolute value, not a negative value, or an error
WHoccur
26
11.7
12.9
27
11.8
13.0
28
9.7
10.2
29
12.6
14.1
Interpret the Results
30
8.6
8.6
1. What is the null hypothesis for these tests?
2. What is the alternative hypothesis for these tests?
3. Given the desired confidence level, what alpha should be used?
4. Can you say with 95% confidence that Store 1 is producing sub
sandwiches with an average length that is less than 12 inches?
5. Can you say with 95% confidence that Store 2 is producing sub
sandwiches with an average length that is less than 12 inches?
6. Can you say with 95% confidence that Store 3 is producing sub
sandwiches with an average length that is less than 12 inches?
31
[select]
14.6
[select]
[select]
32
11.0
33
34
[select]
35
36
[select]
37
38
39
[select]
40](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cc5e62-1f1e-447e-86e2-72966307f0c4%2F6c387d0d-34ea-4cbf-9e91-314da2722b83%2F8y6lds_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem: Customers are complaining about
2 You are the owner of three local sandwich shops. Recently you've received complaints from
3 customers that their "footlong" sub sandwiches were less than 12 inches long. As a measure of
4 quality assurance, data was collected on all footlong sub sandwiches made over the period of an
5 hour at each store. Determined which, if any, of your stores are making sub sandwiches that are
6 significantly shorter than 12 inches. You will conduct threet-tests, one for each store. You want to
7 be 95% confident in your results. (Note. This case is inspired by reality. Search the internet for
8 'claims over footlong sub' for a historical perspective and how a company used statistics to insure
9 consistent quality.)
10
Statistics
11
Sandwich Measurements
Store 1
Store 2
Store 3
12
Store 1
Store 2
Store 3
Sample Size
Mean (length)
Variance
Standard Deviation
18
13
8.8
9.1
9.0
11.00
11.00
12.10
14
11.4
11.6
12.5
2.31
2.25
15
13.4
13.4
15.1
16
11.3
11.4
14.3
1.52
1.50
2.18
17
10.1
10.3
10.8
Hypothesized Mean (M)
Difference in Means (X - M)
Standard Error
T-Statistic
Degrees of Freedom
18
12.4
12.4
13.8
12
12
12
19
10.4
11.2
-1.00
-1.00
0.1
10.6
20
8.9
9.2
9.1
0.36
0.53
0.49
21
10.4
11.1
-2.79
-1.89
0.21
22
11.8
14.0
23
12.8
14.3
24
9.3
8.7
P-value P(T=t) two-tail*
25
12.6
13.7
*Remember that the T.DIST.2T() function requires the t-statistic
argument to be an absolute value, not a negative value, or an error
WHoccur
26
11.7
12.9
27
11.8
13.0
28
9.7
10.2
29
12.6
14.1
Interpret the Results
30
8.6
8.6
1. What is the null hypothesis for these tests?
2. What is the alternative hypothesis for these tests?
3. Given the desired confidence level, what alpha should be used?
4. Can you say with 95% confidence that Store 1 is producing sub
sandwiches with an average length that is less than 12 inches?
5. Can you say with 95% confidence that Store 2 is producing sub
sandwiches with an average length that is less than 12 inches?
6. Can you say with 95% confidence that Store 3 is producing sub
sandwiches with an average length that is less than 12 inches?
31
[select]
14.6
[select]
[select]
32
11.0
33
34
[select]
35
36
[select]
37
38
39
[select]
40
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