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The Central Limit Theorem states that as $n$ becomes large, the distnbution of $Z+(Xˉ−X)/σXˉ$ approaches the standard normal distribution. True False: QUESTION 4 The central imit thoorom ensures that the sampling distribution of the sample mean $Xˉ$ approaches the normal cistribution as the sample size $n$ increases. True False QUESTION 5 If the standard error of the sampling distribution of sample proportions is 0.0245 for samples of size 400 , then the population proportion must be 0.40 . True Faise QUESTION 6 If the population distribution is unknown, the sampling distribution of the sample mean $Xˉ$ in most cases, can be approximated by the normal distribution if the samp size is large. True False QUESTION 7 Whon a groat many simple random samples of size $n$ are drawn from a population that is normally distributed, the sampling distribution of the sample means will be normal regardless of sample size $n$. True False QUESTION 8 Statisticians and decision makers usualy use the population mean to estimate the sample mean. True False

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