Consider the following three distributions: the standard normal distribution (wr
ID: 3248432 • Letter: C
Question
Consider the following three distributions: the standard normal distribution (written as "N(0,1)) the t-distribution with 5 degrees of freedom (written as "ts") the t-distribution with 10 degrees of freedom (written as "to") The task here is to list these three distributions according to the values of their standard deviations, giving the distribution with the smallest standard deviation first. Which of the following is the correct list? (A) N(0,1) ts, (B) N(0,1) to, ts (c) ts, N(0,1) to (D) ts, tio, N(0,1) (E) to, ts, N(0,1)Explanation / Answer
a) t distribution Properties
A standard normal distribution has a standard deviation of 1 and standard deviation of t distribution approaches 1 as the degrees of freedom increases.
Therefore the order is option B, N(0,1), t10, t5
b) Withing each cluster, the population should be as heterogeneous as possible, but there should be homogeneity between clusters. That is, each cluster should be a small-scale representation of the total population.
Answer is option B. Each cluster should as much as possible be representative of third graders in the city as a whole in terms of reading ability.