Question

Asked Jan 10, 2020

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True or False

___1. The margin of error denotes the actual value of the border line with respect to the critical value and standard deviation.

___2. The central limit theorem states that the sample gets closer to a normal distribution as n becomes larger.

___3. A sampling distribution is a normal distribution if the sample size is greater than or equal to 30.

___4. The statistic is the descriptive measures of the population.

___ 5. Interval estimate is a range of values that is used to estimate a parameter.

___6. The z score of the mode is 0.

Step 1

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1)

**Margin of error**

In confidence interval, margin of error denotes the range of values above or below the sample statistic

It is given by

Margin of error = Critical value x Standard deviation of the statistic.

So, the statement, **The margin of error denotes the actual value of the border line with respect to the critical value and standard deviation** is **True**

**Points on sampling distribution of the sample mean:**

- If the true population distribution of a random variable, say,
*x*, is normal with parameters, mean*μ*and standard deviation*σ*, then, whatever be the size (*n*) of the sample taken from the population, the distribution of the sample mean is also normal, with parameters, mean*μ*and standard deviation*σ/√n*. - Even if the true population distribution of a random variable, say,
*x*, is not normal and has population mean&nb...

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