Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
A review of key concepts from chapters 4 and 5 of math 243, focusing on probability, sample proportions, sample means, confidence intervals, and significance tests.
Typology: Exams
1 / 2
This page cannot be seen from the preview
Don't miss anything!
Math 243: – Review for Midterm #
Disclaimer: This review sheet is intended as a study aid only.
Chapter 4
μpˆ = p, σpˆ =
√ p(1 − p)
n
p ˆ − p
σpˆ
pˆ − p √ p(1 − p)/n
μx¯ = μ, σ¯x =
σ √ n
Central limit theorem:
x¯ − μ
σx¯
x¯ − μ
σ/
n
Chapter 5
x¯ ± z
∗ σx¯, x¯ ± z
∗ σ √ n
, x¯ ± margin of error
∗ σx¯ = z
∗ (^) √σ n
n =
( z∗σ
m
) 2
(1) State H 0 , Ha
(2) General formula:
H 0 z-value of the z-test Ha P-value
μ = μ 0
z =
x¯ − μ 0
σ¯x
μ > μ 0
μ < μ 0
μ 6 = μ 0
P (Z > z)
P (Z < z)
2 P (Z > |z|)
(3) Assess statistical significance at level α. Reject H 0 at the α level of
significance if P-value ≤ α; Don’t reject H 0 at the α level of significance
if P-value > α
