Introduction to Probability and Statistics for Engineers and Scientists

(Sean Pound) #1

510 Chapter 11:Goodness of Fit Tests and Categorical Data Analysis


top grade 234
high grade 117
medium grade 81
low grade 68

Can the difference in output be ascribed solely to chance?


  1. The neutrino radiation from outer space was observed during several days. The
    frequencies of signals were recorded for each sidereal hour and are as given
    below:


Frequency of Neutrino Radiation from Outer Space
Hour Frequency Hour Frequency
Starting at of Signals Starting at of Signals
0241229
1241326
2361438
3321526
4331637
5361728
6411843
7241930
8372040
9372122
10 49 22 30
11 51 23 42

Test whether the signals are uniformly distributed over the 24-hour period.


  1. Neutrino radiation was observed over a certain period and the number of hours in
    which 0, 1, 2, ... signals were received was recorded.


Number of Number of Hours with
Signals per Hour This Frequency of Signals
0 1,924
1 541
2 103
317
41
51
6 or more 0

Test the hypothesis that the observations come from a population having a Poisson
distribution with mean .3.
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