A student measures the acceleration A of a cart moving
Chapter 5, Problem 3E(choose chapter or problem)
A student measures the acceleration A of a cart mov- ing down an inclined plane by measuring the time T that it takes the cart to travel 1 m and using the formula \(A=2 T^{2}\) . Assume that T = 0.55 \(\pm\) 0.01 s, and that the measurement T comes from a normal population and is unbiased.
Generate an appropriate simulated sample of values A∗. Is it reasonable to assume that A is normally distributed? Use the simulated sample to estimate the standard deviation of A. If appropriate, use the normal curve to find a 95% confidence interval for the acceleration of the cart.
Equation transcription:
Text transcription:
\pm
A=2 T^{2}
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