MAT215 - Professor Mankowski
Hypothesis Testing Writing h0 and h1
Instructions: For each situation below, write out both the null and alternative hypothesis
An Atlantic City casino manager finds a way to rearrange the floor in such a way as to
Take-Home Computational Quiz
a. The student makes more than 15,000.
M = 12,837 SD = 1,500
15,000 12,837 = 2,163 / 1,500 = 1.44
P(z > 1.44) = 0.9251
1 0.9251 = 0.0749 = 7.49%
b. The student makes between 13,000 an
Central Limit Theorem
If we take an indefinite amount of samples of size n from a population where n >= 30.
1. Distribution of all sample averages is normal.
2. Average of all sample averages = M
3. Standard Deviation = SD / sqrtN.
How do we know its time
Process that leads to a well-defined results called outcomes.
Set of all possible outcomes.
o Flipping 3 coins.
o Rolling a die for a number divisible by 3.
o Guessing a true/false question.
An event is
9. H0: M = 26,035
H1: M = 27,690
CR = .05
Assuming H0 is really true, the distribution of _Xs curve (median = 26,025)
Critical Region Tells when to accept/reject H0. CR comes from Level of Significance
To find out
Addition Rule Used when we see or.
Are we mutually exclusive?
If we are not mutually exclusive: P(A or B) = P(A)+P(B)-P(AnB)
Discrete Random Variables Random variable whose values can be listed.
Example: X = # of As at end of term.
X = letter in alphabet
Introduction to CI (estimation)
Point Estimate: Using one # to rely on as our estimate for a population parameter.
In our case, the point estimate is _X.
The population parameter is M.
What determines how wide the interval around _X should be?