Example rto year. If this variation of the mean mark is expressed subjectively by a normal distribution thematics in common entrance that will vary from 72 and variance o, = 5.76. h mean Ho = A What probability can we assign to the actual mean mark being somewhere between %3D 71.8 and 73.4 for the next years test? () Construct a 95% Bayesian interval for µ if the test is conducted for a random sample of 100 students from the next incomiñg class yielding a mean mark of 70 with s.d. of 8. (ii) What posterior probability should we assign to the event of part (i)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Ехample 31
jear to year. If this variation of the mean mark is expressed subjectively by a normal distribution
rk in mathematics in common entrance that will
or If this variation of the mean mark is expressed subjectively by a normal distribution
vary from
ih mean Ho = .
A What probability can we assign to the actual mean mark being somewhere between
72 and variance o = 5.76.
%3D
71.8 and 73.4 for the next years test?
G). Construct a 95% Bayesian interval for µ if the test is conducted for a random
sample of 100 students from the next incoming class yielding a mean mark of 70
with s.d. of 8.
(ii) What posterior probability should we assign to the event of part (i)
Transcribed Image Text:Ехample 31 jear to year. If this variation of the mean mark is expressed subjectively by a normal distribution rk in mathematics in common entrance that will or If this variation of the mean mark is expressed subjectively by a normal distribution vary from ih mean Ho = . A What probability can we assign to the actual mean mark being somewhere between 72 and variance o = 5.76. %3D 71.8 and 73.4 for the next years test? G). Construct a 95% Bayesian interval for µ if the test is conducted for a random sample of 100 students from the next incoming class yielding a mean mark of 70 with s.d. of 8. (ii) What posterior probability should we assign to the event of part (i)
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