Problem 8E

As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 85%. A random sample from a recent shipment of alumina yielded the following results (in percent):

A hypothesis test will be done to determine whether or not to accept the shipment.

a. State the appropriate null and alternate hypotheses.

b. Compute the P-value.

c. Should the shipment be accepted? Explain.

MATH 103 Chapter 2 Notes Set ollection f objects well defined ● {A} Element - ember of a et ● ∈ ● 1 ∈ A ● 5 ∉ A Sets are esignated by: ● Word description (1st 3 l etters of the alphabet) ● Listing r roster , , c } ● Set builder notation { x | x is the first 3 letters of the alphabet } Empty or ull et ● Ø r { } ● NEVER uses { Ø } Cardinal Number - number of elements in a set (how many) ● If A = { 1, 2, 3, 4 }, then n(A) = 4 (because there are four numbers, or elements, in that set) Finite