100(1 a)% confidence interval for the mean u of a normal population when the value of ở is known is given by Under the same conditions as those leading to the interval, (X - µ) Pl < 1.645- 0.95. Use this to derive a one-sided interval for u that has infinite width and provides a lower confidence bound on u. 1.645- Vn x + 1.645 Vn' ㅇ(-1.645% What is this interval for the true average porosity of a certain seam of coal samples that is normally distributed with true standard deviation 0.79 if the average porosity for 20 specimens from 4.85? (If you need to use co or -co, enter INFINITY or -INFINITY, respectively. Round your answers to four decimal places.)
100(1 a)% confidence interval for the mean u of a normal population when the value of ở is known is given by Under the same conditions as those leading to the interval, (X - µ) Pl < 1.645- 0.95. Use this to derive a one-sided interval for u that has infinite width and provides a lower confidence bound on u. 1.645- Vn x + 1.645 Vn' ㅇ(-1.645% What is this interval for the true average porosity of a certain seam of coal samples that is normally distributed with true standard deviation 0.79 if the average porosity for 20 specimens from 4.85? (If you need to use co or -co, enter INFINITY or -INFINITY, respectively. Round your answers to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Question
100%
(a)
A 100(1 − ?)% confidence interval for the mean ? of a normal population when the value of ? is known is given by
? | ||
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Under the same conditions as those leading to the interval,
P
< 1.645
= 0.95.
(X − ?) | ||||
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Use this to derive a one-sided interval for ? that has infinite width and provides a lower confidence bound on ?.
? | ||
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? |
n |
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n |
What is this interval for the true average porosity of a certain seam of coal samples that is normally distributed with true standard deviation 0.79 if the average porosity for 20 specimens from the seam was 4.85? (If you need to use or –, enter INFINITY or –INFINITY, respectively. Round your answers to four decimal places.)
(b)
Generalize the result of part (a) to obtain a lower bound with confidence level
100(1 − ?)%.
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(c)
What is an analogous interval to that of part (b) that provides an upper bound on ??
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Compute this 99% interval for the true average stray-load loss ? (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1,500 rpm, when
n = 25
and
x = 58.3.
Assume that stray-load loss is normally distributed with
? = 3.0.
(If you need to use or –, enter INFINITY or –INFINITY, respectively. Round your answers to four decimal places.)You may need to use the appropriate table in the Appendix of Tables to answer this question.
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