Suppose that 10% of the probability for a certain distribution that is N(μ,σ^2) is below 60 and that 5% is above 90. What are the values of
Suppose that 10% of the probability for a certain distribution that is N(μ,σ^2) is below 60...
Suppose x has a distribution with μ = 10 and σ = 9. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 60 is drawn, find μx, σ x and P(10 ≤ x ≤...
Suppose x has a distribution with μ = 10 and σ = 2. (a) If a random sample of size n = 39 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 56 is drawn, find μx, σ x and P(10 ≤ x ≤...
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ and μ+3σ μ + 3 σ (b) Between 2 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than μ−1σ μ − 1 σ Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
Suppose x has a distribution with μ = 10 and σ = 7. (a) If a random sample of size n = 40 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 63 is drawn, find μx, σ x and P(10 ≤ x ≤ 12)....
given a normal distribution with μ=105 and σ=10, if you select a sample of n=4. What is the probability that X(mean) is above 106.6? (Type an integer or decimal rounded to four decimal places as needed.)
5. Suppose X. N(μ, σ2), what is the distribution of the sample mean Σ ? Comment on the behavior of the distribution for increasing n. Furthermore, is the distribution of the sample mean consistent with the predictions of the central limit theorem?
Suppose x has a distribution with μ = 11 and σ = 10. (a) If a random sample of size n = 36 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(11 ≤ x ≤ 13) = (b) If a random sample of size n = 64 is drawn, find μx, σx and P(11 ≤ x ≤ 13). (Round σx...
DISTRIBUTION OF SAMPLE VARIANCE:
Xn ~ N(μ, σ2), where both μ and σ are Problem 4 (25 points). Assume that Xi unknowin 1. Using the exact distribution of the sample variance (Topic 1), find the form of a (1-0) confidence interval for σ2 in terms of quantiles of a chi-square distribution. Note that this interval should not be symmetric about a point estimate of σ2. [10 points] 2. Use the above result to derive a rejection region for a level-o...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
Suppose x has a distribution with μ = 13 and σ = 6. (a) If a random sample of size n = 35 is drawn, find μx, σ x and P(13 ≤ x ≤ 15). (Round σx to two decimal places and the probability to four decimal places.) μx = σx = P(13 ≤ x ≤ 15) = (b) If a random sample of size n = 61 is drawn, find μx, σ x and P(13 ≤ x ≤ 15)....