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Statistics Homework Solutions 55

Statistics Homework Solutions 55 - 55 SECTION 3.2 13(a The...

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SECTION 3.2 55 13. (a) The uncertainty in the average of 9 measurements is approximately equal to s 9 0 081 3 0 027 cm. (b) The uncertainty in a single measurement is approximately equal to s , which is 0.081 cm. 15. (a) Let X 87 0 denote the average of the eight measurements, let s 2 0 denote the sample standard deviation, and let σ denote the unknown population standard deviation. The volume is estimated with X . The uncertainty is σ X σ 8 s 8 2 0 8 0 7 mL. (b) σ X s 16 2 0 16 0 5 mL (c) Let n be the required number of measurements. Then σ n 0 4. Approximating σ with s 2 0 yields 2 0 n 0 4, so n 25. 17. Let X denote the average of the 10 yields at 65 C, and let Y denote the average of the 10 yields at 80 C. Let s X denote the sample standard deviation of the 10 yields at 65 C, and let s Y denote the sample standard deviation of the 10 yields at 80 C. Then X 70 14,
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