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.

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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.

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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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