Mathematics S1,S2,S3 WST01: Samples Topical Past Paper Questions

The random variable $H \sim \mathrm{N}(\mu, 6^2)$ The mean of a random sample of $n$ observations of $H$ is denoted by $\bar{H}$. Given that P($\bar{H} 56.976)=0.0250$ using the tables provided (a) show that $n = 100$ (6) (b) hence, find the value of $\mu$ (2)

The random variable $X$ is such that $X \sim \mathrm{N}(\mu, \sigma^{2})$ The mean of a random sample of $n$ observations of $X$ is denoted by $\bar{X}_{n}$ Given that $$ \mathrm{P}\big(\overline{X}_{n} 75.2\big)=0.0179 $$ and using the statistical tables provided, (a) show that…

Jian owns a large group of shops. She decides to visit a random sample of the shops to check if the stocktaking system is being used incorrectly. (a) Suggest a suitable sampling frame for Jian to use. (1) (b) Identify the sampling units. (1) (c) Give one advantage and one disadva…