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tommyj
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EDIT dw i figured it out, not sure how to remove it though!
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tommyj said:Sorry to get your hopes up but I made mistakes in both parts! How did you do part a) may i ask? I can't get terms to dissappear.
tommyj said:Also, for part b) both constraints only seem to imply that [itex]F^{ab}\nabla _an_b=0[/itex] which don't really seem to help to solve for the time derivative of the initial conditions. I've spent ages looking and can't find anything on it!
The problem being addressed in Wald Chapter 10 Problem 2 is how to accurately estimate the population mean from a small sample size.
This problem is significant because it is a common issue faced by scientists and researchers when trying to make inferences about a larger population based on a small sample size.
The solution proposed in Wald Chapter 10 Problem 2 is the use of confidence intervals, specifically the use of the t-distribution and t-intervals, to estimate the population mean with a given level of confidence.
The t-distribution differs from the normal distribution in that it takes into account the smaller sample size and therefore has heavier tails, allowing for a more accurate estimation of the population mean.
Some limitations of using t-intervals include the assumption of normality for the population, the assumption of independence within the sample, and the requirement of a large enough sample size for the t-distribution to be a good approximation of the normal distribution.