Question

A 95% confidence interval for the mean number of miles that college students live from campus was computed to be (0.9, 2.3). Then a randomly selected college student will have a 95% chance of living between 0.9 and 2.3 miles from campus.

• True
• False

Answer 1

The given statement is false. This is because a 95% confidence interval is a range of values for which we can be 95% certain that the mean of the population will lie in the given range. A confidence interval of 95% does not mean that 95% of the values lie between the given range. So, in this case, the given information means that there is a 95% certainty that the mean of the population lies between the range from 0.9 miles to 2.3 miles. Hence, we can conclude that the given statement is false.

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