Question

Multiple Choices

4. the best way to form a cluster of 20 samples from a population measuring 320:
a. all members of the population are written in pieces of paper and then put in a box. Twenty pieces of paper were selected from the box
b. all population members are written in the alphabetical list. the first sixteen parts of the list are taken randomly and become members of the population. Then each 16th name in the list of members in the population
c. the sample consisted of the first 20 people because they registered first
d. every 320 names are numbered. Twenty numbers are taken randomly using a computer and the people associated with the number are members of the sample
e. all population names are written in the alphabetical list and in the list of numbers 1 to 320. A number between 1 and 304 (inclusive) is taken randomly. The name associated with the number and the next 19 people on the list are sample members

5. Which of the following is the best description to describe procedural systematic random samples?
a. the sample chosen was such that samples of a certain size had the same opportunity to be sampled
b. after populations are separated into subpopulations, one or more of these subpopulations are randomly selected. The entire subpopulation is sampled
c. numbers are chosen randomly from a list of random numbers, then each member of the subpopulation which is a repetition of numbers is chosen to be a sample
d. the sample is chosen in such a way that the sample size is proportional to the size of the subpopulation
e. sample where respondents gave voluntary responses

6. The average emission level released by an esin must be less than 20 ppm. A study was conducted to determine the emission level of a factory according to or not according to standards. If μ = average pollutant emissions (ppm), how is H₀ and H_A appropriate?

a. H₀ : μ = 20; H_A : μ > 20

b. H₀ : μ ≥ 20; H_A : μ < 20

c. H₀ : μ > 20; H_A : μ < 20

d. H₀ : μ = 20; H_A : μ ≥ 20

e. H₀ : μ ≥ 20; H_A : μ > 20

Please explain too

Answer 1

4. Option: d. every 320 names are numbered. Twenty numbers are taken randomly using a computer and the people associated with the number are members of the sample.

[Since in this process we select a sample complete randomly and in this process sample is free from sampling bias].

5. Option: c. numbers are chosen randomly from a list of random numbers, then each member of the subpopulation which is a repetition of numbers is chosen to be a sample.

[Since the systematic sampling is mixed sampling i.e. first we choose a number randomly from the list and the remaining members of the sample are selected depending on the position of first unit of the sample.]