Regarding simple random sampling:

(a) What is simple random sampling?

(b) What is a simple random sample?

(c) Identify two forms of simple random sampling and explain the difference between the two.

Short Answer

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Part (a) A sampling procedure in which each possible sample of a given size has an equal chance of being selected.

Part (b) A sample obtained using simple random sampling.

Part (c) A sample can be obtained more than once in simple random sampling with replacement, but in simple random sampling without replacement, a sample can only be chosen once.

Step by step solution

01

Part (a) Step 1. Given information.

The given statement is:

What is simple random sampling?

02

Part (a) Step 2. Meaning of simple random sampling. 

Simple random sampling is a sampling procedure in which each possible sample of a given size has an equal chance of being selected.

03

Part (b) Step 1. Meaning of simple random sample.

A sample obtained using simple random sampling is known as a simple random sample.

04

Part (c) Step 1. Identify two forms of simple random sampling and explain the difference between them.

The two forms of simple random sampling are:

  1. Simple random sampling with replacement
  2. Simple random sampling without replacement

A member of the population can be selected more than once in simple random sampling with replacement.

In simple random sampling without replacement, on the other hand, a member of the population can only be chosen once.

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Most popular questions from this chapter

Regarding probability sampling:

(a) What is it?

(b) Does probability sampling always yield a representative sample?

(c) Identify some advantages of probability sampling.

Oklahoma State Officials. Refer to Table 5.1 on page 196.

(a). List the possible samples without replacement of size 4 that can be obtained from the population of five officials. (Hint: There are five possible samples.)

If a simple random sample without replacement of four officials is taken from the five officials, determine the probability that

(b). the governor, secretary of state, attorney general, and treasurer are obtained.

(c). the governor and treasurer are included in the sample.

(d). the governor is included in the sample.

The members of a population have been numbered 1-372. A sample of size 5 is to be taken from the population, using systematic random sampling.

(a) Apply Procedure 1.1 on page 17 to determine the sample ( i.e .. the numbers corresponding to the members of the population that are included in the sample ).

(b) Suppose that, in Step 2 of Procedure 1.1, the random number chosen is 10 ( i.e., k = 10 ). Determine the sample.

Leisure Activities and Dementia. An article appearing in the Los Angeles Timesdiscussed the study " Leisure Activities and the Risk of Dementia in the Elderly "(New England Journal of Medicine, Vol. 348, pp . 2508-2516 ) by J. Verghese et al. The article in the Times, titled "Crosswords Reduce Risk of Dementia," contained the following statement: " Elderly people who frequently read, do crossword puzzles, practice a musical instrument or play board games cut their risk of Alzheimer's and other forms of dementia by nearly two-thirds compared with people who seldom do such activities." Comment on the statement in quotes, keeping in mind the type of study for which causation can be reasonably inferred.

Provide a scenario of your own in which a sample is not representative.

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