Question

In: Statistics and Probability

A simple random sample of n measurements from a population is a subset of the population...

A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of the following is/are true? (Select all that apply.
)Every sample of size n from the population has a proportionally weighted chance of being selected.
Every sample of size n from the population has an equal chance of being selected.
Every member of the population has an equal chance of being included in the sample.The simplest method of selection is used to create a representative sample.
Each subset of the population has an equal chance of being included in the sample.

Solutions

Expert Solution

option a : Every sample of size n from the population has a proportionally weighted chance of being selected.

all samples of size n have equal chance

option b : Every sample of size n from the population has an equal chance of being selected.

true, as all samples of size n have equal chance

option c : Every member of the population has an equal chance of being included in the sample.

true, as it is simple random sampling so all members have equal chances

option d : The simplest method of selection is used to create a representative sample.

true, simplest method of selection is used in simple random sampling to select the sample

option e : Each subset of the population has an equal chance of being included in the sample.

false, each subset has chance proportional to theit size

answer : option b,c,d

(please UPVOTE)


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