STAT 401 Homework 1 Solution (Penn State)
Section 1.2, Problem 2
(a) There are three populations P1, P2 and P3. Population Pi is the collection of variety i corn planted on all plots (with similar conditions), i = 1, 2, 3. Obviously, each population is hypothetical as “all plants” above is not practically possible.
Section 1.2, Problem 4
(a) The population of interest is the air quality on all domestic fights.
Section 1.3, Problem 2
(a) The sampling scheme described above does not produce a simple random sample of size 100 from the recent production of remotes.
Section 1.3, Problem 6
(a) As a first step we identify each client with a number from 1 to 1000. Next, we write each number from 1 to 1000 on a slip of paper, put all 1000 slips of paper in a box and mix them thoroughly. Finally, we select 100 slips from the box, one at a time and without replacement. The 100 numbers selected specify the desired sample of size 100 clients from a population of 1000 clients.
Section 1.4, Problem 4
(a) The variable of interest is the degree of staleness measured on the flights. And the statistical population is the value of air quality, measured on the 175 domestic flights.
Section 1.6, Problem 2
Section 1.6, Problem 11
Section 1.6, Problem 12(bonus)
(a) μw =c1 +μv,s2w =s2v,sw =sv