Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS - GROUPS 2, 3, & 4
Assignment 1 Solutions
1.
(i) Let A and B be the event that he gets Project A and Project B , respectively.
You are given that P (A) = 0.6, P (B ) = 0.75 and P (A B ) = 0.85
P (A B ) = P (A
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS - GROUPS 2, 3, & 4
Assignment 5 Solutions
1. Let d be the mean dierence of sales of non-sale items between the store with campaign
and the paired store without campaign.
(i) H0 : d = 0
H1 : d = 0
Since the sa
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS GROUPS 2, 3, & 4
Assignment 4
Deadline of submission: During the class session in Week 11
1.
A market researcher for a consumer electronics company wants to study the television
viewing habits of residents of
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS - GROUPS 2, 3, & 4
Assignment 4 Solutions
1.
(i) Given that x = 15.3, s = 3.8, n = 340, and t0.025,339 1.96 (exact value t0.025,339 =
1.9670).
We do not need to make any assumption. Since the sample size (n =
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS GROUPS 2, 3, & 4
Assignment 3
Deadline of submission: During the class session in Week 7
1.
Suppose that an intelligence test is constructed to have a normal distribution with a
mean of 100 and a standard dev
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS - GROUPS 2, 3, & 4
Assignment 3 Solutions
1.
Let X be the IQ score of randomly selected person. Then, X N ( = 100, 2 = 152 )
(i)
P (85.9 < X < 118.6) = P
118.6 100
85.9 100
<Z<
15
15
= P (0.94 < Z < 1.24) = 1
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS GROUPS 2, 3, & 4
Assignment 2
Deadline of submission: During the class session in Week 5
1.
Using historical records in the last ten years, the personnel manager of a plant has
determined the probability dist
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS - GROUPS 2, 3, & 4
Assignment 2 Solutions
1.
(i)
P (X > 2) = P (X = 3) + P (X = 4) + P (X = 5)
= 0.08 + 0.05 + 0.02
= 0.15
(ii) The cdf of X is
x
0
P (X x) 0.60
1
2
0.75 0.85
3
4
0.93 0.98
5
1
(iii)
E (X ) =
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS GROUPS 2, 3, & 4
Assignment 1
Deadline of submission: During the class session in Week 4
1.
A general contractor has submitted two bids for two projects: A and B . The probability
of getting project A is 0.60
Term I, 10/11
STAT 101 INTRODUCTORY STATISTICS GROUPS 2, 3, & 4
Assignment 5
Deadline of submission: During the class session in Week 13
1.
In order to measure the eect of a store-wide sales campaign on non-sale items, the research
director of a national