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The table below presented the ranks which were assigned by three judges to the works
of ten articles:
S.no. 1 2 3 4 5 6 7 8 9 10
Judge A 5 7 4 1 3 2 9 8 10 6
Judge B 4 8 3 2 7 1 10 6 9 5
Judge C 8 6 2 10 4 1 3 9 5 7
Compute the spearman’s rank order correlation coefficients for each pair of ranking and
decide:
a) Which two judges are most alike in their opinion about these artists?
b) Which two judges are different in their opinion about these artists?
Solve the triangle.
A = 21°, C = 105 °, c = 5
1. The economist wants to compare the hourly rates charged by automobile mechanics in two major cities in Metro Manila. He randomly selects auto repair facilities from both cities and records their hourly rates ( in pesos) The data is as follows:
City of Manila
190
140
130
212
205
168
135
180
Quezon City
179
150
120
156
175
160
180
200
Is there sufficient evidence to indicate a difference in the mean hourly rates from these two cities, at ? (20 points)
1. The Mathematical Anxiety Rating Scale (MARS) measures an individual level of mathematical anxiety on a scale from 25 (no anxiety) to 100 (highest anxiety). A group of researcher administered the MARS to 50 students. One of the objectives of the study was to determine if there is a difference between levels of mathematical anxiety experienced by male and female computer science students.
Gender
s
n
Male
34.8
10.6
24
Female
47.2
12.4
26
At level of significance, is there evidence of a difference in the mean mathematical anxiety experienced by male and female computer science students? (10 points)
A survey found that the average hotel room rate in Luzon is ₱2,300 and the average room rate in Mindanao is ₱2,150. Assume that the data were obtained from two samples of 75 hotels in Luzon and 80 hotels in Mindanao and the standard deviations were ₱250 and ₱215, respectively. At α=0.05, can it be concluded that there is a significant differences in the rates? (10 points)
triangle TAB is located at T(2,3), A(1,1) and B(4,-3). Plot the shape, reflect this over the y-axis, then translate the image by rule (x,y) to (x+2, y- 1). record the coordinates of the images in the provides spaces.
A health specialist wants to determine the average number of hours a person exercise
in a day during the quarantine period. She found out that the mean number of hours a
person exercise in a day during the quarantine period is 80 minutes. A random sample of
29 persons were surveyed and found that their mean is 65 minutes and a standard
deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that
the population is normally distributed.
Name and explain in details at least 5 pre maths concepts learners need to be able to master in their Grade R year
For a particular school year, the registrar of a university wanted to know the proportion of students who are enrolled in the Sciences. The enrollment data showed total enrollment of 6 534 students. Of this total, there were 4 286 enrolled in various Science courses. What do the numbers say about the course preferences of the students?
Name and explain in details at least 5 pre maths concepts learners need to be able to master in their Grade R year.
