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Probability and Statistics | Aigerim Kussainova
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As part of an investigation into visits to a Health Centre a 5 × 2 contingency table was constructed. A x^2 test of significance at the 5% level is to be carried out on the table. Write down the number of degrees of freedom and the critical region appropriate to this test.
The random variable Y has a x2 distribution with 14 degrees of freedom. Find y such that P(Y<y) = 0.9
The random variable X has a chi-squared distribution with 7 degrees of freedom. Find x such that P(X < x) = 0.99.
Energy consumption is claimed to be a good predictor of Gross National Product. An economist recorded the energy consumption (x) and the Gross National Product for eight countries. The data are shown in the table.
Energy Consumption x
|
3.4
|
7.7
|
12.0
|
75
|
58
|
67
|
113
|
131
|
Gross National Product y
|
55
|
240
|
390
|
1100
|
1390
|
1330
|
1400
|
1900
|
As part of an investigation into visits to a Health Centre a 6 × 4 contingency table was constructed. A x^2 test of significance at the 5% level is to be carried out on the table. Write down the critical region appropriate to this test.
The random variable X has a chi-squared distribution with 7 degrees of freedom. Find x such that P(X > x) = 0.1.
A correlation of +1.0 means that as one variable increases, the other variable increases proportionally, and the relationship is perfectly linear.