Question

A random sample of n individuals were selected. A 95% confidence interval ($52,000 to $70,000) was constructed using the sample results.

Which of the following statement(s) is/are true? (Can choose answer more than 1)

If all possible samples of size n were drawn from this population, about 95% of the population means would fall in the interval ($52,000 to $70,000).

We do not know for sure whether the population mean is in the interval $52,000 and $70,000.

If all possible samples of size n were drawn from this population, 95% of the intervals established by the above method would contain the population mean.

If all possible samples of size n were drawn from this population, about 95% of the sample means would fall in the interval ($52,000 to $70,000).

Answer #1

3re Option is correct.

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A random sample of n individuals were selected. A 95% confidence
interval ($52,000 to $70,000) was constructed using the sample
results.
Which of the following statement(s) is/are true? ( Can choose
more than one answer)
If all possible samples of size n were drawn from this
population, about 95% of the population means would fall in the
interval ($52,000 to $70,000).
We do not know for sure whether the population mean is in the
interval $52,000 and $70,000.
If all...

Question 1.
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b) There is a 95% chance that the true population value is
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c) if we sampled from a population repeatedly and created
confidence intervals, 95% of those confidence intervals would
contain the population mean
d) We are 95% sure of the sample statistic
Question 2.
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