Mathematics, 06.05.2020 04:22 bestballer7095
(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).
52 48 49 52 53
Assume that the different measurements are due only to measurement error, and that measurement error is Normally distributed. The goal is to set up an approximate 95% confidence interval for the correct measurement. In each part, answer correct to three decimal places.
First find the average and SD of the data.
Answers: 3
![s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}](/tpl/images/0646/2144/eb228.png)
![s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168](/tpl/images/0646/2144/0f121.png)
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(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in mil...
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