Consider the test of H0:σ^2=7 against H1:σ^2>7. What is the
critical value for the test statistic
X02 for the significance level
α=0.05 and sample size n=19?
Give your answer with two decimal places (e.g. 98.76).
Enter your answer in accordance to the question statement
Thank you!
We have given,
Sample size =n=19

Degree of freedom =n-1=19-1=18
Chi square critical value for right tailed test =28.87...........by using chi square critical value table or Excel =CHIINV(0.05,18)
Consider the test of H0:σ^2=7 against H1:σ^2>7. What is the critical value for the test statistic...
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n2=15 and that x¯1=14.2 and x¯2=19.7. Use α=0.05.
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Suppose that X1, X2, . . . , Xn is an iid sample of N (0, σ2
) observations, where σ
2 > 0 is
unknown. Consider testing
H0 : σ
2 = σ
2
0 versus H1 : σ
2
6= σ
2
0
;
where σ
2
0
is known.
(a) Derive a size α likelihood ratio test of H0 versus H1. Your rejection region should
be written in terms of a sufficient statistic.
(b) When the null...
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