5. Show that the 95 percent fiducial limits for the mean of the population are x± √ ¹00s, where to.os, stands for the value of t at 5 percent S Vn level of significance. Deduce that for a random sample of 16 values with mean 41.5 inches and the sum of the squares of the deviations from the mean 135 (inches)² and drawn from a normal population, 95 percent fiducial limits for the mean of the population are 39.9 and 43-1 inches.
5. Show that the 95 percent fiducial limits for the mean of the population are x± √ ¹00s, where to.os, stands for the value of t at 5 percent S Vn level of significance. Deduce that for a random sample of 16 values with mean 41.5 inches and the sum of the squares of the deviations from the mean 135 (inches)² and drawn from a normal population, 95 percent fiducial limits for the mean of the population are 39.9 and 43-1 inches.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
![5.
S
Jn
Show that the 95 percent fiducial limits for the mean of the
population are x ± to.05, where to.05, stands for the value of t at 5 percent
level of significance. Deduce that for a random sample of 16 values with
mean 41.5 inches and the sum of the squares of the deviations from the
mean 135 (inches)² and drawn from a normal population, 95 percent
fiducial limits for the mean of the population are 39.9 and 43-1 inches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67bb2504-a9b1-47d0-8660-560536a2ec75%2Fe024155d-10ed-4f0c-ba39-5d1028574f3a%2Fz56562v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.
S
Jn
Show that the 95 percent fiducial limits for the mean of the
population are x ± to.05, where to.05, stands for the value of t at 5 percent
level of significance. Deduce that for a random sample of 16 values with
mean 41.5 inches and the sum of the squares of the deviations from the
mean 135 (inches)² and drawn from a normal population, 95 percent
fiducial limits for the mean of the population are 39.9 and 43-1 inches.
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