A sample of 8 observations from the population indicated that sample variance s12 is 441. A second sample of 8 observations from the same population indicated that sample variance s22 is 121. Conduct the following test of hypothesis using a 0.1 significance level.
H0: σ12 =
σ22
H1: σ12 ≠
σ22
You should use the tables in the book for obtaining the
F values.
For full marks your answer should be accurate to at least two
decimal places.
| a) | State the decision rule.
|
b) Compute the right F critical value.
FR critical value: 0
c) What is the value of the test statistic?
F-Test statistic: 0
| d) | What is your decision regarding H0?
|
a)
Reject H0 in favour of H1 if the computed value of the statistic is
greater than FR.
b)
critical value of F,
FR = 3.787
c)
Test statistic,
F = s1^2/s2^2
F = 441/121
F = 3.645
d)
Fail to reject H0
There is insufficient evidence, at the given significance level, to
reject H0 and so H0 will be accepted or at least not be
rejected.
A sample of 8 observations from the population indicated that sample variance s12 is 441. A...
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