Alpha stands for the level of significance, which is 1 minus the level of confidence. It is also indicated as the probability of committing a Type I error. The levels of significance ...

Let P be the set of all polynomials. Show that P, with the usual addition and scalar multiplication of functions, forms a vector space.
I'm just no good at proofs. I know we are supposed to go through and prove the Vector Space Axioms and the C1 and C2 closure properties. I just don't think I'm doing it successfully. I'm just

Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?

a. Let K be a field of characteristic p > 0, and let c in K. Show that if alpha is a root of f (x) = x^p - x - c, so is alpha + 1. Prove that K(alpha) is Galois over K with group either trivial or cyclic of order p.
b. Find all subfields of Q ( sqrt2, sqrt 3) with proof that you have them all. What is the minimal polynomial

Assembly line workers are randomly assigned to two groups with 21 workers in each group. Each group receives a different training program and then their scores on an assembly task are compared. The "F" statistic for the variance in the two groups is 0.178. Using a 0.05 level of significance, what are the critical values for rej

For which real values alpha does lim {x -> 0+} x^alpha sin(1/x) exist?
It is easy to show using the epsilon - delta definition below that this limit exists for all real alpha >= 1. In fact the limit is zero in this case. The case alpha equals zero is also quite simple and the limit does not exist. Consider the two sequence

1. Let f : X -> Y and g : Y -> Z be mappings.
(1) Show that if f and g are both injective, then so is g o f : X -> Z
(2) Show that if f and g are both surjective, then so is g o f : X -> Z.
2. Let alpha = 1 2 3 4 5 and Beta = 1 2 3 4 5
3 5 1 2 4 3 2 4 5 1 .

3. Consider a DAG supermarket selling chicken noodle soup manufactured by the Campbell Soup Company. Customer demand for chicken noodle soup is R cans per year. The price Campbell charges is $C per can. DAG incurs a holding cost rate of {see attachment}. The ordering cost is $K per order. Using the EOQ formula, DAG normally orde

United Airways has tried out single order exponential smoothing for forecasting passenger demand. Below are recent results using alpha = 0.2, 0.4. and 0.6. Which alpha is best, based on this limited data?
Actual Forecast with Alpha Equal to
Period Passengers