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All statistical estimates inherently involve some level of imprecision and some level of uncertainty. Beth has collected a sample from a numerical variable X. She has calculated a sample mean of 6,126. From this, Beth draws the following inference: ‘I am 95% confident that the population mean of X is somewhere between 6,067 and 6,185.’ In this inference, Beth has: failed to acknowledge both the imprecision and uncertainty in statistical estimatesacknowledged both the imprecision and the uncertainty in statistical estimatesacknowledged the uncertainty but failed to acknowledge the imprecision in statistical estimatesacknowledged the imprecision but failed to acknowledge the uncertainty in statistical estimates

All statistical estimates inherently involve some level of imprecision and some level of uncertainty.Beth

has collected a sample from a numerical variable X. She has calculated a sample mean of 6,126. From this, Beth draws the following inference:

‘I am 95% confident that the population mean of X is somewhere between 6,067 and 6,185.’

In this inference, Beth has:

failed to acknowledge both the imprecision and uncertainty in statistical estimatesacknowledged both the imprecision and the uncertainty in statistical estimatesacknowledged the uncertainty but failed to acknowledge the imprecision in statistical estimatesacknowledged the imprecision but failed to acknowledge the uncertainty in statistical estimates

 
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