Question:
Let π₯1, π₯2, β¦ , π₯10 be the observed values of a random sample of size 10 from an π(π, π 2 ) distribution, where π β β and π > 0 are unknown parameters. If
π₯Μ
=\(\frac{1}{10}\) \(β^{10}_{i=1}x_i=0\) and s=\(\sqrt{\frac{1}{9}β^{10}_{i=1}(x_i-\overline{x})^2=2,}\)
then based on the values of π₯Μ
and π and using Studentβs π‘-distribution with 9 degrees of freedom, 90% confidence interval(s) for π is/are
Let π₯1, π₯2, β¦ , π₯10 be the observed values of a random sample of size 10 from an π(π, π 2 ) distribution, where π β β and π > 0 are unknown parameters. If
π₯Μ =\(\frac{1}{10}\) \(β^{10}_{i=1}x_i=0\) and s=\(\sqrt{\frac{1}{9}β^{10}_{i=1}(x_i-\overline{x})^2=2,}\)
then based on the values of π₯Μ and π and using Studentβs π‘-distribution with 9 degrees of freedom, 90% confidence interval(s) for π is/are
π₯Μ =\(\frac{1}{10}\) \(β^{10}_{i=1}x_i=0\) and s=\(\sqrt{\frac{1}{9}β^{10}_{i=1}(x_i-\overline{x})^2=2,}\)
then based on the values of π₯Μ and π and using Studentβs π‘-distribution with 9 degrees of freedom, 90% confidence interval(s) for π is/are
Updated On: Oct 1, 2024
- (β0.8746, β)
- (β0.8746, 0.8746)
- β1.1587, 1.1587)
- (ββ, 0.8746)
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The Correct Option is A, C, D
Solution and Explanation
The correct options are: A, C and D
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