题目
Problem
The random variable H ~ N(μ, 6^2).
The mean of a random sample of n observations of H is denoted by H̄.
Given that P(H̄ < 55.08) = 0.1151 and P(H̄ > 56.976) = 0.0250 using the tables provided
(a) show that n = 100
(b) hence find the value of μ
(8)
(Total for Question 6 is 8 marks)
题目中文翻译
随机变量 H ~ N(μ, 6^2)。
H 的 n 个观测值的样本均值记为 H̄。
已知使用统计表得到 P(H̄ < 55.08) = 0.1151 和 P(H̄ > 56.976) = 0.0250。
(a) 证明 n = 100。
(b) 因而求 μ 的值。