Raisins The number of raisins in each of 14miniboxes (1/2 -ounce size) was counted for ageneric brand and for Sunmaid brand raisins. Thetwo data sets are shown here:
a. What are the
b. What are the mean and the standard deviation for theSunmaid brand?
c. Compare the centers and variabilities of the twobrands using the results of parts a and b.
(a)
To find:
The mean and standard deviation for the generic brand.
Answer to Problem 1RWYL
The mean and standard deviation for the generic brand are
Explanation of Solution
Given information:
The given data is,
Generic Brand | Sunmaid | ||||||
25 | 26 | 25 | 28 | 25 | 29 | 24 | 24 |
26 | 28 | 28 | 27 | 28 | 24 | 28 | 22 |
26 | 27 | 24 | 25 | 25 | 28 | 30 | 27 |
26 | 26 | 28 | 24 |
Calculation:
The data with calculation is shown in table below.
25 | 1.464 1 | |
26 | 0.044 1 | |
26 | 0.044 1 | |
26 | 0.044 1 | |
26 | 0.044 1 | |
28 | 3.204 1 | |
27 | 0.624 1 | |
26 | 0.044 1 | |
25 | 1.464 1 | |
28 | 3.204 1 | |
24 | 4.884 1 | |
28 | 3.204 1 | |
27 | 0.624 1 | |
25 | 1.464 1 | |
Total | 367 | 20.3574 |
Table-1
The sample size is
The mean is,
The standard deviation is,
Therefore, the mean and standard deviation for the generic brand are
(b)
To find:
The mean and standard deviation for Sunmaid.
Answer to Problem 1RWYL
The mean and standard deviation for the generic brand are
Explanation of Solution
Given information:
The given data is,
Generic Brand | Sunmaid | ||||||
25 | 26 | 25 | 28 | 25 | 29 | 24 | 24 |
26 | 28 | 28 | 27 | 28 | 24 | 28 | 22 |
26 | 27 | 24 | 25 | 25 | 28 | 30 | 27 |
26 | 26 | 28 | 24 |
Calculation:
The data with calculation is shown in table below.
25 | 1.2996 | |
28 | 3.4596 | |
25 | 1.2996 | |
28 | 3.4596 | |
29 | 8.1796 | |
24 | 4.5796 | |
28 | 3.4596 | |
24 | 4.5796 | |
24 | 4.5796 | |
28 | 3.4596 | |
30 | 14.8996 | |
24 | 4.5796 | |
22 | 17.1396 | |
27 | 0.7396 | |
Total | 366 | 75.7144 |
Table-2
The sample size is
The mean is,
The standard deviation is,
Therefore, the mean and standard deviation for the generic brand are
(c)
To compare:
The centers and variability of the brands.
Explanation of Solution
Given information:
The given data is,
Generic Brand | Sunmaid | ||||||
25 | 26 | 25 | 28 | 25 | 29 | 24 | 24 |
26 | 28 | 28 | 27 | 28 | 24 | 28 | 22 |
26 | 27 | 24 | 25 | 25 | 28 | 30 | 27 |
26 | 26 | 28 | 24 |
The generic brand has smaller standard of deviation as compared to Sunmaid and the mean of generic brand is greater as compared to Sunmaid.
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Chapter 2 Solutions
Introduction To Probability And Statistics
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt