Tests for when is unknown
Now let's relax the assumption that the population variance is known, assume that
it is uknown. Now instead of using a standard normal distribution we will use a
t-distribution and relace with s.
Perform the same one-tailed test
AGE
20-23
24-27
28-31
32-35
36-39
40-43
44-47
Total Result
Sum - AGE
586
5087
6139
4489
1549
406
89
18345
Distribution of Ages for all MLB Players
20000
18000
16000
14000
12000
10000
8000
6000
4000
2000
0
18345
5087
586
6139
4489
1549
406
89
12/06/2016
IN
SYLLABUS
MAS 312
Fall 2016
P (TuTh 11:00-12:15) Ares 531
Q (TuTh 12:30-1:45) Ares 530
Description: Statistical Methods and Quality Control. This course covers the statistical theory,
tools, and methods required for Business and Engineering systems analysi
Nick Reynolds
MAS 312
Case #2
a.
UCL = xbarbar + 3(standard deviation/square root of N) = 4.973
LCL = xbarbar -3(standard deviation/square root of N) = 4.943
For r- control charts
UCL = D3Rbar = .0543
LCL = D4Rbar = negative value which is impossible so w
Nick Reynolds
Chapter 2 Hw
Crit thinking Qs : 2.2
Q and problems : 1,2,3,6,7,9,10,15,18
Critical thinking
2.2: Revenues and cost figures shown on the income statement may not be an accurate
representation of cash flows because the costs they include are n
L12
a29a245b5f7c5a3ae6d45aedfaa9898f4275fb60.xlsx
Goodness-of-fit Test
This test involves comparing the differences between observed frequencies
and frequencies expected under a null hypothesis.
The test statistic is:
2 = _(= )^ (
2
) /e i
This statisti
L09
Required sample size for one sample
a5c53c374dad63cb0bbf81e0449880a321a23f73.xlsx
test for mean
Choice of sample size for testing means
Given:
0
a
hypothesized mean
population standard deviation
difference between the hypothesized mean and an actual m
Testing for one population proportion
p
n
x
pp
pp
population proportion
sample size
number of successes in n trials
sample proportion
p
pp2
pq/n
q
(1-p)
(pp - p)/pq/n is distributed as a standard normal
ztest = (pp - p0)/p0q0/n
H0: p p0
H0: p p0
H0: p = p
L6
L6 Introuction to Hypothesis Testing
Hypothesis testing
Statistical hypothesis testing involves examining the relationship between
a stated belief regarding a population and the results obtained from a random
sample drawn from the population. The state
L8
949a20a722f96ce4cf9c50f203109233358bd1ce.xlsx
Testing for the equivalence of two population means when the variances are unknown
and assumed unequal
Assume that we draw two independent samples from two different populations
Pop 1 Pop 2
n2
sample size n
L11
L11 tests for one variance
Hypothesis tests for the population variance
Chisq with 15 df
right tail, = 0.05
population variance
2
282d491e017aaae99bb39a726f55839ef899f269.xlsx
s2
sample variance
n
sample size
(n-1)s2/2 is distributed as a Chi-squared
L8
9db453b4c35d115783be850ae9e15a666dbc01f6.xlsx
Testing for the equivalence of two population means when the variances are unknown
but assumed equal
Assume that we draw two independent samples from two different populations
Pop 1 Pop 2
n2
sample size n1
L8
96f76ea250e51e992852f9191c8b2f900a53a892.xlsx
Testing for the equivalence of two population means when the variances are known
Assume that we draw two independent samples from two different populations
Pop 1 Pop 2
n2
sample size n1
2
mean 1
variance
sa
L10
hypothesis testing for one popultion proportion
e272ceed5be3672327253b57339db7fe058c039d.xlsx
Testing for one population proportion
p
n
x
pp
pp
population proportion
sample size
number of successes in n trials
sample proportion
p
pp2
pq/n
q
(1-p)
(pp
Nick Reynolds
Chapter 9
9.1,2,5
9.1,4,6,7,9,10,11,12,13,20
9.1 : Opportunity cost: in the context of capital budgeting opportunity cost is the investment you give up
in order to invest in some other project.
9.2: Depreciation would be preffered to use MAC
Nick Reynolds
Chapter 10
Crit : 6,8,9
Q and P: 2,3,4,5,7,9,13,14,15,17,18,21,22,26
CH 10 Finance HW
Critical Questions:
6. TMCC would be willing to accept this because the future value of that $100,000 in their
business plan is worth equal or of less valu
CHARLES WERDER
2015 Miami Marlins Active Roster
NAME
Alvarez
Henderson
Capps
Carter
Cishek
Steve
Claiborne
Preston
Cosart
Jarred
Crow
Aaron
Dunn
Mike
Dyson
Sam
Fernandez
Jose
Hand
Brad
Haren
Dan
Koehler
Tom
Latos
Mat
Morris
Bryan
Nicolino
Justin
Phelps
Da
MAS312
EXAM ONE
Ver A
NAME
1 Do all work for credit on the sheet containing the question.
2 The copy of the exam in Excel is the same as this paper copy.
3 Use Excel or calculators to find your answers.
4 You may use the card which I provided for formaula
CJ Werder
Null Hypothesis
mu of nba - mu of mlb <= 6
Alternate Hypothesis mu of nba - mu of mlb > 6
alpha
0.04
beta
0.06
delta
2
n=
NBA x bar=
NBA std dev.
48.8668194624 round up to 49
78.9591836735
MLB x bar
3.9314924206
MLB std dev.
z test =
z critical