A random sample from a population of X with unknown mean but a known variance, o = 400, gives the following data: sample size, n= 125, Ex= 1750. (i) (i) (b) %3D Give a point estimate of the population mean, µ. Is this estimate biased or not. Giye a reason

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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part (b)

В2.
(a)
Given the probability Venn diagram below for the two Events A and B find
the probabilities:
0.6
0.5
A
0.2
(i)
(ii)
(iii)
Pr( A 'OR' B)
Pr( Not-A 'AND' Not-B)
Pr( Not-A "OR' Not-B)
(b)
A random sample from a population of X with unknown mean but a known
variance, o = 400, gives the following data: sample size, n= 125, Ex= 1750.
(i)
Give a point estimate of the population mean, u.
(ii)
Is this estimate biased or not. Give a reason.
(ii)
Derive a 95% confidence interval for the population mean, µ.
Transcribed Image Text:В2. (a) Given the probability Venn diagram below for the two Events A and B find the probabilities: 0.6 0.5 A 0.2 (i) (ii) (iii) Pr( A 'OR' B) Pr( Not-A 'AND' Not-B) Pr( Not-A "OR' Not-B) (b) A random sample from a population of X with unknown mean but a known variance, o = 400, gives the following data: sample size, n= 125, Ex= 1750. (i) Give a point estimate of the population mean, u. (ii) Is this estimate biased or not. Give a reason. (ii) Derive a 95% confidence interval for the population mean, µ.
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