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):
93.2 87.0 92.1 90.1 87.3 93.6
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 et - countable (has a beginning and an end) Infinite set - not countable, doesn’t end (goes on forever…) Set equality - A = B if every element in A is also in B and vice versa Universal set - U (everything in our universe at a given time/all things under discussion) Venn D iagram - picture et relations Complement o f Set A ● A’ = { x | x ∉ A and x ∈ U } ● Is not i } A Subset - ⊆ ● A B very lement in is also i n B ● Ø i s a subset very et A Ø ⊆ ● Every set is a subset of the universal set A ⊆
