Constructing a Confidence Interval for a Population Mean

AP Statistics· difficulty 1/5

A random sample of 25 batteries has a mean lifetime of 42.3 hours with sample standard deviation 5.1 hours. The lifetimes are approximately normally distributed.

Sample Summary Statistic Value n 25 x-bar 42.3 s 5.1 df 24

What is the standard error of the mean for this sample?

  • A

    0.20

  • B

    5.10

  • C

    1.02

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  • D

    0.41

Explanation

SE = s/sqrt(n) = 5.1/sqrt(25) = 5.1/5 = 1.02.

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