Infinite-dimensional vector space
Prove that the space P of all polynomials is an infinite-dimensional vector space. [Hint: mathematical induction may be useful here.]
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How should you calculate confidence interval using quantiles from a t-distribution and with how much degree of freedom? Is it approprait to use in calculating the confidence of interval quantiles from a normal distribution?Explain and show work.
Find the 95% confidence interval for the variance of the weights of containers of motor oil if a sample of 14 containers has a variance of 3.2. Assume the variable is normally distributed.
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