Refer to Example 8. How large a sample will we need in order to assert with probability 0.95 that the sample mean will not differ from the true mean by more than 1.5. (replacing \(\sigma\) by \(s\) is reasonable here because the estimate is based on a sample of size eighteen.)

Data From Example 8

Data From Example 7

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EXAMPLE 8 Graphics to accompany a two sample t test Example 7, Chapter 2, presents strength measurements on an aluminum alloy. A second alloy yielded measurements given in the following stem-and-leaf display. Find a 95% confidence interval for the difference in mean strength 8.