Consider the following data to determine whether there is a
significant difference between the values of...
Consider the following data to determine whether there is a
significant difference between the values of Group 1 and Group 2.
Let the significance level be 5%.
Group 1: 15, 17, 26, 11, 18, 21, 13, 29
Group 2: 23, 14, 24, 13, 22, 23, 18, 21
What rank will be given to the value 15? _______________.
What is the rank sum, W1, of Group 1? (round answer to 1 decimal
place) ___________.
What is the value of the test...
Consider a deck consisting of seven cards, marked 1, 2, . . .,
7. Three of...
Consider a deck consisting of seven cards, marked 1, 2, . . .,
7. Three of these cards are selected at random. Define an rv W by W
1⁄4 the sum of the resulting numbers, and compute the pmf of W.
Then compute E(W) and Var(W). [Hint: Consider outcomes as
unordered, so that (1, 3, 7) and (3, 1, 7) are not different
outcomes. Then there are 35 outcomes, and they can be listed.]
(This type of rv actually arises...
1. Consider a standard card deck with 52 cards. There are 13
ranks, 1 to 13...
1. Consider a standard card deck with 52 cards. There are 13
ranks, 1 to 13 and each rank has 4 suits. We say that a
set of 4 cards is winning if the respective ranks
can be put in a consecutive order
a1,a2,a3,a4 so that
ai+1 = ai + 1. For example, the set of cards
{3hearts, 4spades, 5diamonds, 6hearts} is winning because the cards
have consecutive ranks 3,4,5,6. (The cards can have any suit.)
Suppose that you pick...
1) X values 19, 17, 18,19,16, 23,21,22,21,20
X values converted to ranks are 4.5,
2,3,4.5,1,10,7.5,9,7.5,6
Y...
1) X values 19, 17, 18,19,16, 23,21,22,21,20
X values converted to ranks are 4.5,
2,3,4.5,1,10,7.5,9,7.5,6
Y values 1,1,2,2,2,2,3,3,5,6
What are the Y values converted to 1 to 10 ?
X rank- Y rank D?
D2? sum of D2
1b) 6x D2?, n(n2-1)?, 6xD2/n3-n= ? 1-6xD2/n3-n=?
If the following scores are converted to ranks, what values
should be assigned to the two...
If the following scores are converted to ranks, what values
should be assigned to the two individuals who started with scores
of X = 5? Rank from highest to lowest. Scores: 2, 3, 5, 5, 7, 10,
18
one receives a rank of 3 and the other gets a rank of 4
both should receive a rank of 3
both should receive a rank of 4.5
both should receive a rank of 4
Let V be the set of all ordered pairs of real numbers. Consider
the following addition...
Let V be the set of all ordered pairs of real numbers. Consider
the following addition and scalar multiplication operations V. Let
u = (u1, u2) and v = (v1, v2).
• u ⊕ v = (u1 + v1 + 1, u2 + v2 + )
• ku = (ku1 + k − 1, ku2 + k − 1)
1)Show that the zero vector is 0 = (−1, −1).
2)Find the additive inverse −u for u = (u1, u2). Note:...
Consider the following data to determine whether there is a
significant difference between the values of...
Consider the following data to determine whether there is a
significant difference between the values of Group 1 and Group 2.
Let the significance level be 5%.
Group 1: 15, 17, 26, 11, 18, 21, 13, 29
Group 2: 23, 14, 24, 13, 22, 23, 18, 21
Using the Mann Whitney Table of p-values, what is the p-value
for this test? Round your U test statistic up to the next value to
locate on the table. (round answer to 4...
Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5),
u4=(3,0,2)
a) Find the dimension and a basis for...
Consider the vector u1=(2,0,2), u2=(4,1,-1), u3=( 0,1,-5),
u4=(3,0,2)
a) Find the dimension and a basis for U= span{ u1,u2,u3,u4}
b) Does the vector u=(2,-1,4) belong to U. Justify!
c) Is it true that U = span{ u1,u2,u3} justify the answer!