The ages (in years) of 50 individuals on a mailing list, in ascending order are:
10 11 13 14 14 15 15 17 18 20
20 21 22 24 26 26 26 27 29 30
31 31 33 34 36 36 36 37 38 39
40 41 41 43 44 45 45 46 47 48
49 51 53 55 57 58 59 59 60 60
Consider the frequency table for the data:
A B C D
Interval Frequency Frequency Frequency Frequency
0,5 – 15,5 5 7 7 5
15,5 – 30,5 14 13 12 15
30,5 – 45,5 16 17 18 14
45,5 – 60,5 15 13 13 16
The column that represents the correct frequencies for the data is
[1] A
[2] B
[3] C
[4] D
find the general solutions of (x+y+2z) dz/dx+(x+y+2z)dz/dy=3z
A quality-control exercise was carried out by ChocCheer for estimating the percentage of defective chocolate
bars in a large shipment of 1 000 boxes with 100 bars in each box. Twenty boxes were chosen at random,
and every bar in them checked. The number of defective bars in each of the boxes are:
8, 10, 4, 3, 11, 6, 9, 10, 2, 7, 6, 12, 9, 11, 6, 3, 14, 9, 5, 4
Choose the CORRECT statement.
[1] The variable is the 1 000 boxes of chocolate bars.
[2] The sample unit 149.
[3] The sample is the 20 boxes of chocolate bars that were selected.
[4] The population is the 100 chocolate bars per box
To save money for a new house, you want to begin contributing money to a savings account. Your plan
is to make equal contributions to the account for eight years. Each contribution will be R18 490,00. The
contributions will come at the end of every three month period, starting three months from now. The savings
account pays 9% interest per annum, compounded quarterly. How much money do you expect to have in
the account at the end of the eight years
(a)Check whether the set ]-5,7]nl [-7,5[ contains any e -neighbourhood of 3. 2 (b)What are the suficient conditions for a set to have a limit point ? Check whether the set {+-1/n | neN} has any limit point in R.
Using the definition, show' that the sequence [1/√n]neN is Cauchy.
1. Mr. Ronald Aquino is currently working on his thesis on the effectiveness of design
thinking methods in teaching statistics and probability using one-shot pretest-post test
design. Before the implementation of the design thinking methods, he administered a
pretest to 20 randomly selected grade 11 students. The same test was administered at
the end of the experiment to the same group of students. He wants to know whether the
design thinking methods is effective by determining whether a significant difference
exists between the pretest and post test scores of the students using 0.05 level of
significance; that is, Mr. Aquino desires to determine whether the post test scores of the
students are significantly higher than their pretest scores. The table below shows the
scores of the 20 students.
b. Are design thinking methods effective in enhancing the performance of senior high school
students in statistics and probability?
1. Mr. Ronald Aquino is currently working on his thesis on the effectiveness of design
thinking methods in teaching statistics and probability using one-shot pretest-post test
design. Before the implementation of the design thinking methods, he administered a
pretest to 20 randomly selected grade 11 students. The same test was administered at
the end of the experiment to the same group of students. He wants to know whether the
design thinking methods is effective by determining whether a significant difference
exists between the pretest and post test scores of the students using 0.05 level of
significance; that is, Mr. Aquino desires to determine whether the post test scores of the
students are significantly higher than their pretest scores. The table below shows the
scores of the 20 students.
a. Is there a significant difference between the pretest and post test scores of the 20
students?
Determine which of the following biconditional statements are true.
(a) if and only if .
(b) if and only if .
(c) if and only if .
Select one:
a. (a) and (b)
b. (a) and (c)
c. (b)
d. (c)
e. (a)
Find the complete integral of p^2 + q^1/2 -y