Test the hypothesis (Ho: The size of family is independent of level of seniority) that the size of a family is independent of the level of seniority attained by the doctors at the 0.05 level of significance. Use the chi-squared critical value approach.

MATLAB: An Introduction with Applications
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(c)
A random sample of 200 married clinical academic doctors, all retired, was classified
according to seniority and number of children:
Children:
Seniority:
0-2
3-4
More than 4
Academic clinical fellow
32
25
16
Clinical lecturer
44
18
22
Clinical research fellow
22
8
13
Test the hypothesis (Ho: The size of family is independent of level of seniority) that the
size of a family is independent of the level of seniority attained by the doctors at the
0.05 level of significance. Use the chi-squared critical value approach.
Transcribed Image Text:(c) A random sample of 200 married clinical academic doctors, all retired, was classified according to seniority and number of children: Children: Seniority: 0-2 3-4 More than 4 Academic clinical fellow 32 25 16 Clinical lecturer 44 18 22 Clinical research fellow 22 8 13 Test the hypothesis (Ho: The size of family is independent of level of seniority) that the size of a family is independent of the level of seniority attained by the doctors at the 0.05 level of significance. Use the chi-squared critical value approach.
(а)
The performances in a statistics course with 100 students for a particular semester were
as follows:
Grade
A
В
F
Number of students
18
25
32
20
5
At the 0.05 level of significance, test the hypothesis that the distribution of performance
is uniform (Ho: The data is uniformly distributed). Use the chi-squared critical value
approach.
(b)
Given the variance of a chi-squared distribution is 2v, where v is the degrees of
freedom. Show that the variance of S for random samples of size n from a normal
population decreases as n increases.
Transcribed Image Text:(а) The performances in a statistics course with 100 students for a particular semester were as follows: Grade A В F Number of students 18 25 32 20 5 At the 0.05 level of significance, test the hypothesis that the distribution of performance is uniform (Ho: The data is uniformly distributed). Use the chi-squared critical value approach. (b) Given the variance of a chi-squared distribution is 2v, where v is the degrees of freedom. Show that the variance of S for random samples of size n from a normal population decreases as n increases.
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