Question

Which of the following statements about random sampling is correct:

(i) Each element of the population has an equal probability of being

included in the sample.

(ii) It is impossible to collect 'bad' samples, that is samples which are

unrepresentative of the population.

(iii) The population is divided into 'clusters' and one or more of these

clusters are then randomly chosen.

Answer #1

The correct answer is:

**(i) Each element of the population has an equal
probability of being included in the sample.**

*SRS or simple random sampling is based on the premise that
every element of the population being sampled has an equal
probability of being selected.*

These are false:

(ii) It is impossible to collect 'bad' samples, that is samples that are unrepresentative of the population.

*It is possible if we are collecting a small sample or any
other various scenarios samples which are unrepresentative of the
population.*

(iii) The population is divided into 'clusters' and one or more of these clusters are then randomly chosen.

*This is the procedure in the case of cluster sampling. It
does not apply to random sampling in general.*

**Please do upvote
if you are satisfied! Let me know in the comments if anything is
not clear. I will reply ASAP!**

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a. A sampling distribution is necessary for making confidence
statements about an unknown population parameter.
b. A sampling distribution depends on the nature of the
population being sampled.
c. When sampling at random from a normal population, the
sampling distribution for the sample average is a normal
distribution.
d. None of the above.
AND
TRUE or FALSE
Assume a random sample of size n is from a normal population....

1- When we perform ______________, an element of a population
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Stratified random sampling
Sampling with replacement
Sampling without replacement
Cluster sampling
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sample.
Judgment
Convenience
Nonrandom
Probability

Which of the following statements are true?
I. The sampling distribution of ¯xx¯ has standard deviation σ√nσn
even if the population is not normally distributed.
II. The sampling distribution of ¯xx¯ is normal if the population
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III. When nn is large, the sampling distribution of ¯xx¯ is
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I and II
I and III
II and III
I, II, and III
None of the above gives...

Which of the following statements are true?
I. The sampling distribution of ¯xx¯ has standard deviation σ√nσn
even if the population is not normally distributed.
II. The sampling distribution of ¯xx¯ is normal if the population
has a normal distribution.
III. When nn is large, the sampling distribution of ¯xx¯ is
approximately normal even if the the population is not normally
distributed.
I and II
I and III
II and III
I, II, and III
None of the above gives...

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I. All else being equal, the greater the sample size, the
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II. All else being equal, the greater the confidence level, the
greater the margin of error.
III. All else being equal, the greater the sample variance, the
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Which...

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- A sample in which every group of n items is equally
likely.
A sample in which the population is divided into groups, and
then a random sample is taken from each.
- A sample in which every member has an equally likely chance of
selection.
- A sample where a few groups are randomly selected, and then
each member of those groups are measured.
- A sample where the first...

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solve the following and mark the correct statement.
i)
In which case could the sampling distribution of sample means
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B) The parent population is jumbled, the sample size is
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C) The parent population is jumbled, the sample size is
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ii)
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I. The probability that a continuous random variable takes a
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