(a) Determine the polynomial interpolant to the data
t 1 2 3 4
p(t) 11 29 65 125
using the monomial basis.
(b) Determine the Lagrange polynomial interpolant to the same data and show that the resulting polynomial is equivalent to that obtained in part a.
(c) Compute the Newton polynomial interpolant to the same data using each of the three methods (triangular matrix, incremental interpolation, and divided differences) and show that each produces the same result as the previous two methods.

(co 3) the times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 9.4 minutes. a random sample of 25 customers has a mean of 36.1 minutes or less. would this outcome be considered unusual, so that the store should reconsider its displays? no, the probability of this outcome at 0.035, would be considered usual, so there is no problem yes, the probability of this outcome at 0.035, would be considered unusual, so the display should be redone no the probability of this outcome at 0.359 would be considered usual, so there is no problem yes, the probability of this outcome at 0.965 would be considered unusual, so the display should be redone