2.3 Exercises
1. Analyze the logical forms of the following statements. You may use
the symbols , ,
/ =, 6=, , , , , , and in your answers, but not
, *, P, , , cfw_, , or . (Thus, you must write out the definitions of
some set theory notation, and you mus
Math 253, Spring 2016 Test 1 Page I of 4
1. (10 total points)
A curve is given by parametric equations x = e, y = t ln(t2) for t Z 1.
d
(a) (3 points) Compute the derivative d:.
(b) (4 points) Find an equation of the tangent to the curve at the point corr
How To Prove It
3 Proofs
3.2 Proofs Involving Negations and Contradictions
1. This problem could be solved by using truth tables, but dont do it that way. Instead,
use the methods for writing proofs discussed so far in this chapter. (See Example 3.2.4.)
(
STAT 231; N. Johnson; Exam 4 Answers
1. What tests would you conduct for the following claims? Choose among 2sample TTest
(pooled), 2sample TTest (not pooled), TTest, ZTest, 2sample Z Test, 2, and ANOVA. If
there are further requirements that must be me
STAT 231; N. Johnson; Fall 2012; Sample Exam 4
1. Whattestswouldyouconductforthefollowingclaims?Chooseamong2sampleT
Test(pooled),2sampleTTest(notpooled),TTest,ZTest,2sampleZTest,2,
ANOVA,andFTest.Iftherearefurtherrequirementsthatmustbemettousethetest
(e.g
STAT 231; N. Johnson; Fall 2012; Sample Exam 3 version 1 answers
1. H0: p 0.02
H1: p > 0.02
z = 1.597; critical value = 1.645; p-value = 0.0551; fail to reject the null hypothesis.
1-PropZTest
2. H0: = 24
H1: 24
z = 2.653; critical value = 2.576; p-value
1
BUSA 303/304: Sample Questions: Test #1 10/2001
CIRCLE the letter of the BEST answer for each of the following questions. Each correct answer
is worth 4 points.
1. The common law may be described as:
a. Rules of law developed by judges as they make deci