8-56. An article in the Australian Journal of Agricultural Research [“Non-Starch Polysaccharides and Broiler Perfor- mance on Diets Containing Soyabean Meal as the Sole Protein Concentrate" (1993, Vol. 44(8), pp. 1483–1499)] determined that the essential amino acid (Lysine) composition level of soy- bean meals is as shown here (g/kg): 22.2 24.7 20.9 26.0 27.0 24.8 26.5 23.8 25.6 23.9 (a) Construct a 99% two-sided confidence interval for o?. (b) Calculate a 99% lower confidence bound for o?. (c) Calculate a 90% lower confidence bound for o.
8-56. An article in the Australian Journal of Agricultural Research [“Non-Starch Polysaccharides and Broiler Perfor- mance on Diets Containing Soyabean Meal as the Sole Protein Concentrate" (1993, Vol. 44(8), pp. 1483–1499)] determined that the essential amino acid (Lysine) composition level of soy- bean meals is as shown here (g/kg): 22.2 24.7 20.9 26.0 27.0 24.8 26.5 23.8 25.6 23.9 (a) Construct a 99% two-sided confidence interval for o?. (b) Calculate a 99% lower confidence bound for o?. (c) Calculate a 90% lower confidence bound for o.
A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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perform this exercise in minitab (Show in images)

Transcribed Image Text:a) 99% two-sided confidence interval on o
n = 10
s = 1.913 x00s 9 = 23.59 and xo 9959 = 1.73
9(1.913)?
so?
9(1.913)?
23.59
1.73
1.396 s o? s 19.038
b) 99% lower confidence bound for o
For a = 0.01 and n=10, x- - Xo019 =21.67
9(1.913)?
so?
21.67
1.5199 so?
c) 90% lower confidence bound for o?
For a = 0.1 and n = 10, Xan-1
9(1.913)
Xó19 =14.68
=
so?
14.68
2.2436 so?
1.498 s o
d) The lower confidence bound of the 99% two-sided interval is less than the one-sided interval. The lower
confidence bound for o is in part (c) is greater because the confidence is lower.
![8-56. + An article in the Australian Journal of Agricultural
Research [“Non-Starch Polysaccharides and Broiler Perfor-
mance on Diets Containing Soyabean Meal as the Sole Protein
Concentrate" (1993, Vol. 44(8), pp. 1483–1499)] determined
that the essential amino acid (Lysine) composition level of soy-
bean meals is as shown here (g/kg):
22.2
24.7
20.9
26.0
27.0
24.8
26.5
23.8
25.6
23.9
(a) Construct a 99% two-sided confidence interval for o?.
(b) Calculate a 99% lower confidence bound for o.
(c) Calculate a 90% lower confidence bound for o.
(d) Compare the intervals that you have computed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb71af2b8-d409-40f2-982e-223e5c9a6d30%2Fd3eeb5dd-362e-4a87-9e4e-f2e71e990528%2Fk6wy02_processed.png&w=3840&q=75)
Transcribed Image Text:8-56. + An article in the Australian Journal of Agricultural
Research [“Non-Starch Polysaccharides and Broiler Perfor-
mance on Diets Containing Soyabean Meal as the Sole Protein
Concentrate" (1993, Vol. 44(8), pp. 1483–1499)] determined
that the essential amino acid (Lysine) composition level of soy-
bean meals is as shown here (g/kg):
22.2
24.7
20.9
26.0
27.0
24.8
26.5
23.8
25.6
23.9
(a) Construct a 99% two-sided confidence interval for o?.
(b) Calculate a 99% lower confidence bound for o.
(c) Calculate a 90% lower confidence bound for o.
(d) Compare the intervals that you have computed.
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