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Sampling for Differences in Sample Means Practice Test
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Q1
A manufacturer compares the mean lifetime of batteries from two production lines. In repeated sampling, an independent random sample of $n_1=16$ batteries from Line 1 and $n_2=16$ batteries from Line 2 is tested, and $\bar{x}_1-\bar{x}_2$ is recorded. Which statement is correct about how the standard deviation of the sampling distribution changes if both sample sizes are quadrupled (to $n_1=n_2=64$)?
A manufacturer compares the mean lifetime of batteries from two production lines. In repeated sampling, an independent random sample of $n_1=16$ batteries from Line 1 and $n_2=16$ batteries from Line 2 is tested, and $\bar{x}_1-\bar{x}_2$ is recorded. Which statement is correct about how the standard deviation of the sampling distribution changes if both sample sizes are quadrupled (to $n_1=n_2=64$)?