(a) Suppose a random sample of size n= 25 from a normal population with unknown variance has sample mean = 50 and sample variance s2 = 64. Construct a 100(1-a)% Confidence Interval (C.I.) for the population mean u with a = 0.10, a = 0.05 and a = 0.01. )Find the lengths of the intervals constructed above. What is the relationship between the confidence level (1-a) and the length of C.I.?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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(a) Suppose a random sample of size n =
has sample mean x 50 and sample variance s2
25 from a normal population with unknown variance
= 64.
%3D
Construct a 100(1-a)% Confidence Interval (C.I.) for the population mean
a = 0.10, a = 0.05 and a = 0.01.
with
i)
%3D
Find the lengths of the intervals constructed above. What is the relationship between the
confidence level (1- a) and the length of C.L.?
Transcribed Image Text:(a) Suppose a random sample of size n = has sample mean x 50 and sample variance s2 25 from a normal population with unknown variance = 64. %3D Construct a 100(1-a)% Confidence Interval (C.I.) for the population mean a = 0.10, a = 0.05 and a = 0.01. with i) %3D Find the lengths of the intervals constructed above. What is the relationship between the confidence level (1- a) and the length of C.L.?
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