Suppose normally distributed weight measurements (in ounces) for 60 randomly se- lected major league baseballs were: 5.09 5.08 5.21 5.17 5.07 5.24 5.12 5.16 5.18 5.19 5.26 5.10 5.28 5.29 5.27 5.09 5.24 5.26 5.17 5.13 5.27 5.26 5.17 5.19 5.28 5.28 5.18 5.27 5.25 5.26 5.26 5.18 5.13 5.08 5.25 5.17 5.09 5.16 5.24 5.27 5.28 5.24 5.23 5.23 5.27 5.22 5.26 5.27 5.24 5.27 5.25 5.28 5.24 5.26 5.24 5.24 5.27 5.26 5.22 5.09 Some calculations include: , X; = 312.7; , X? = 1629.9396. (a) Find a 99% confidence interval for the mean weight of major league baseballs. (b) Derive a 99% confidence interval for the standard deviation of the weight of major league haseballs

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Suppose normally distributed weight measurements (in ounces) for 60 randomly se-
lected major league baseballs were:
5.09 5.08 5.21
5.17 5.07 5.24 5.12 5.16 5.18 5.19
5.26 5.10 5.28 5.29 5.27 5.09 5.24
5.26
5.17 5.13
5.27 5.26 5.17 5.19 5.28 5.28 5.18 5.27 5.25 5.26
5.26
5.18 5.13 5.08 5.25 5.17 5.09 5.16 5.24
5.27
5.28 5.24 5.23 5.23 5.27 5.22 5.26 5.27
5.24 5.27
5.25
5.28 5.24 5.26 5.24 5.24 5.27 5.26 5.22 5.09
Some calculations include: , X; = 312.7; , X? = 1629.9396.
(a) Find a 99% confidence interval for the mean weight of major league baseballs.
(b) Derive a 99% confidence interval for the standard deviation of the weight of
major league baseballs.
Transcribed Image Text:Suppose normally distributed weight measurements (in ounces) for 60 randomly se- lected major league baseballs were: 5.09 5.08 5.21 5.17 5.07 5.24 5.12 5.16 5.18 5.19 5.26 5.10 5.28 5.29 5.27 5.09 5.24 5.26 5.17 5.13 5.27 5.26 5.17 5.19 5.28 5.28 5.18 5.27 5.25 5.26 5.26 5.18 5.13 5.08 5.25 5.17 5.09 5.16 5.24 5.27 5.28 5.24 5.23 5.23 5.27 5.22 5.26 5.27 5.24 5.27 5.25 5.28 5.24 5.26 5.24 5.24 5.27 5.26 5.22 5.09 Some calculations include: , X; = 312.7; , X? = 1629.9396. (a) Find a 99% confidence interval for the mean weight of major league baseballs. (b) Derive a 99% confidence interval for the standard deviation of the weight of major league baseballs.
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