True or false If the sample mean of a random sample from an

True or false? If the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for will be relatively short.

False. The maximal error of estimate controls the length of the confidence interval dependent on the value of x.

True. The maximal error of estimate controls the length of the confidence interval dependent on the value of x.  

   False. The maximal error of estimate controls the length of the confidence interval regardless of the value of x.

True. The maximal error of estimate controls the length of the confidence interval regardless of the value of x.

Solution

False. The maximal error of estimate controls the length of the confidence interval regardless of the value of x. [ANSWER, OPTION D]

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Note that the width of the interval depends on the standard deviation, sample size, and confidence level, but not on the mean itself.