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Consider a population consisting of 4, 7, 8, 13, 15 and 17. Suppose samples of size 3 are drawn from this population. Determine the total number of samples. *
A researcher is interested in estimating the average monthly salary of bank managers in NCR. He wants to be 90% confident that his estimate is correct. If the standard deviation is ₱8,500, how large a sample is needed to get the desired information and to be accurate within ₱1,150?
What is the probability that the 30 randomly selected student will complete the test in 53 minutes?
The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team
a)Construct a well labeled tree diagram to represent all the possible outcomes. [4]
b) What is the probability that Roy:
i) attends practice and is chosen? [1]
ii) does not attend practice and is not chosen? [1]
iii) does not attend practice? [1]
iv) is chosen? [2]
The intelligence quotients (IQs) of 16 students from one area of a city showed a mean of 107 and a standard deviation of 10, while the IQs of 14 students from another area of the city showed a mean of 112 and a standard deviation of 8. What would be the ‘ t ’ value to test whether there is a significant difference between the IQs of the two groups at significance level 0.01?
a. 2.56
b. 1.45
c. 3.45
d. 2.22
Suppose that the manufacturing company of Exercise 5.36 decides to change its acceptance scheme. Under the new scheme, an inspector takes 1 item at random, inspects it, and then replaces it in the box; a second inspector does likewise. Finally, a third inspector goes through the same procedure. The box is not shipped if any of the three inspectors find a defective. Answer the questions in Exercise 5.36 for this new plan
The weight of teenagers in Barangay Payapa approaches a normal distribution with a mean of 52.9 kg and a standard deviation of 7.2 kg. If a teenager is a chosen at random from Barangay Payapa, what is the probability that his/her weight is above 48.5 kg?
Question #140012
In an effort to improve the mathematical skills of 10 students, a teacher provides a weekly 1-
hour tutoring session for the students. A pretest is given before the sessions, and a posttest is
given after. The results are shown here. At α= 0.05, can it be concluded that the sessions help
to improve the students’ mathematical skills?
1. Consider the following contingency table analyzing the relationship between major and mathematics score.
Column Variables
Row Variables
(L)
(B)
(M)
Natural Sciences (N)
50
80
80
Social Sciences (S)
60
70
80
If there is a random selection of one student, determine the following probabilities:
a. P(N) b. P(B) c. P(N Ո L) d. P(M Ս S) e. P(B|N)
