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Question: As the sample size n increases without limit, the shape of the distribution of the sample means taken with replacement from a population with mean μ and standard deviation σ will approach a normal distribution. This distribution will have mean μ and standard deviation σ n . In statistics, what is this statement referred to as? A ) Correction factor for continuity B ) Normal distribution C ) The Central Limit Theorem D ) Standard error of the mean Steps to derive 1 The Central Limit Theorem: As the sample size n increases without limit, the shape of the distribution of the sample means taken with replacement from a population with mean μ and standard deviation σ will approach a normal distribution. This distribution will have mean μ and standard deviation σ n .2 If the sample size increases, the central limit theorem can be used to answer the questions about the sample means.3 Therefore, in statistics, the statement is reffered as 'The Central Limit Theorem'.Hence the right answer is Option C Click Here To Go Back Few Other Questions - The front, right and top views of a three-dimensional figure are shown. Identify the figur.. The front, side and top views of a three-dimensional figure are shown. Identify the figure.. Cost of a T-shirt is $15.50. Arthur bought n T-shirts and paid a tax of $5.25. Which equat.. Identify a rule for the table.x2345y8121620.. If the length of a square is doubled, what happens to its area?.. Identify the table that suits the graph... Write a variable expression for the phrase.Five times the value of 37 of the length l is .. Write a variable expression for the situation.Two times William's age x is greater than th.. 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