A function f : D → R is called a Lipschitz function if there is a number K > 0 such that |f(x) – f(y)| < K|x – y| for all æ and y in the domain D. (a) Prove that a Lipschitz function satisfies the e-ô criterion on its domain, and the conclude that it is uniformly continuous. (b) Let f(x) = Va for all a e (0, 1). Prove that f is uniformly continuous but is not a Lipschitz function.

Q: What is the correct answer ? I have to show work.

A: Given Information: Sample size (n) = 22  Mean (u) = 12 Standard deviation (s) = 5.4

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Q: Part D?

A: As per your instructions i have to solve part(D)

Q: Can you draw a table so I can understand better

A: Start with a in the column one and make possible pairs. Then go with b, then c and then so on.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.