Question

3. (2 points) Let $X_1, X_2, ..., X_{10}$ be a random sample from a normal distribution with $\sigma^2 = $\\ 0.8. Find two positive numbers $a$ and $b$ such that the sample variance $S^2$ satisfies \\ $P(a \le S^2 \le b) = 0.90$ \\ Hint: Let $\alpha = 0.05$ and $1 - \alpha = 0.95$

          3. (2 points) Let $X_1, X_2, ..., X_{10}$ be a random sample from a normal distribution with $\sigma^2 = $\\
0.8. Find two positive numbers $a$ and $b$ such that the sample variance $S^2$ satisfies \\
$P(a \le S^2 \le b) = 0.90$ \\
Hint: Let $\alpha = 0.05$ and $1 - \alpha = 0.95$

3. (2 points) Let X1, X2, ..., X10 be a random sample from a normal distribution with σ^2 =

0.8. Find two positive numbers a and b such that the sample variance S^2 satisfies

P(a ≤ S^2 ≤ b) = 0.90

Hint: Let α = 0.05 and 1 - α = 0.95

Added by Jeffrey H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Anna D.

05/28/2023

Step 1

We are given that the sample $X_1, X_2, \ldots, X_{10}$ is from a normal distribution with $\sigma^2 = 0.8$. The sample size $n = 10$. Show more…

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3.2 points. Let X1, X2, ..., Xo be a random sample from a normal distribution with Ïƒ = 0.8. Find two positive numbers a and b such that the sample variance S^2 satisfies P(a < S^2 < b) = 0.90. Hint: Let a = 0.05 and 1-a = 0.95.