Suppose a professor wants to estimate the proportion of UM students who have a satisfying experience with the e-learning approach adopted by the school in the current semester. What is the minimum sample size that he should use if he wants the estimate to be accurate within ±0.06 with a 90% confidence?
If P(A) = 0.4 and P(B) = 0.6, which of the following must be true?
a. Events A and B are mutually exclusive.
b. Events A and B are collectively exhaustive.
c. Events A and B are statistically independent.
d. None of the other three choices must be true.
Which of the following is TRUE?
a. Mean is always equal to median.
b. Mode is better than mean to measure the central tendency for categorical data.
c. A data group with larger standard deviation has relatively greater variability than another data group with smaller standard deviation.
d. Population variance is always equal to sample variance.
Because of the outbreak of the coronavirus, students of UM are allowed to opt for Pass/Fail grade for courses they enroll in the second semester of 2019/2020. An instructor of ISOM2002 believes that there will be more than 35% of the students in the course choosing this option. A random sample of 40 students of ISOM2002 reveals that 16 of them prefer to take the Pass/Fail option. What would be the two hypotheses if we want to test the instructor’s belief?
a. H0: π ≤ 0.40 and H1: π > 0.40
b. H0: π ≥ 0.35 and H1: π < 0.35
c. H0: π ≥ 0.40 and H1: π < 0.40
d. H0: π ≤ 0.35 and H1: π > 0.35
Donald has in his pocket three coins: two fair coins and a two-headed coin. He selects one of the coins at random; when he tosses it, it shows head. What is the probability that the selected coin is a two-headed coin?
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