OM 215 Quantitative Methods for Management Exam I have two assignments about Quantitative Methods for Mgt, each assignments has 10 to 12 questions to solve
OM 215 Quantitative Methods for Management Exam I have two assignments about Quantitative Methods for Mgt, each assignments has 10 to 12 questions to solve.And please i need it to be handwritten Thank you OM215 Assignment 2B
Q1
Events A and B are such that P(A)=0.4, P(B)=0.8 and P (A and B) =0.3.
State, giving a reason in each case whether events A and B are
a. Independent
b. Mutually exclusive.
Also find P(A/B) and P(B/A)
Q2
Given the following discrete probability distribution,
X
P(X)
130
200
100
0.43
0.35
0.22
a. Calculate the expected value of X.
b. Calculate the standard deviation of X.
1
Q3
Given a binomial distribution with n =9 and p =0.45, obtain the following:
a. the mean
b. the standard deviation
c. find P(x=5)
Q4
For a normally distributed population with ?? = 42 and ?? = 5.2, find P( x ? 55 ).
Q5
Construct a 95% confidence interval estimate for the population mean given the
following values:
Q6
Construct a 98% confidence interval estimate for the
population mean given the following values:
Q7
Provide the relevant critical value(s) for each of the following circumstances:
a. upper tail test, n =30, ? =9.0, ? = 0.02
b. HA: µ?35, n=41, ? =35.407, ? =0.05
2
Q8
For each of the following z-test statistics, compute the p-value assuming that the hypothesis
test is a one-tailed test:
a. z =-2.15
b. z =1.43
Q9
For the following hypothesis test:
HO: µ =200
HA: µ ?200
?=0.1
with n=36, , ? =0.72, and x?=204.2, state
a. the decision rule in terms of the critical value of the test statistic
b. the calculated value of the test statistic
c. the conclusion
Q10
For the following hypothesis test:
HO: µ ?42
HA: µ 70
with n = 20, x?=71.2, s = 6.9, and a = 0.05, state
a. the decision rule in terms of the critical value of the
test statistic
b. the calculated value of the test statistic
c. the conclusion
Q8
For the following hypothesis test:
H0: m = 60.5
HA: m ? 60.5
a = 0.5
with n =15, s = 7.5, and x?= 62.2, state
a. the decision rule in terms of the critical value of the
test statistic
b. the calculated value of the test statistic
c. the conclusion
Q9
For the following hypothesis test:
HO: ?2 =16
HA: ?2 ?16
?=0.01
with n=10, , s2 =20.6,
state
a. the decision rule in terms of the critical value of the test statistic
b. the calculated value of the test statistic
c. the conclusion
3
Q10
Q11
The following data for the dependent variable, y, and the independent variable, x, have been
collected using simple random sampling
x
9
12
11
13
8
18
17
16
10
20
y
11
17
27
16
9
25
24
21
16
24
a.
b.
Compute the correlation coefficient.
Conduct a test of hypothesis to determine if there exists a correlation between the two
variables in the population. Use a significance level of 0.1
Q12
Examine the following sample data for the variables y and x
x
19
13
17
9
12
15
y
7
9
8
11
9
6
Compute the regression equation based on these sample data.
4
5
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