THIRD PERIODICAL EXAMINATION
STATISTICS & PROBABILITY
SECOND SEMESTER
GENERAL DIRECTIONS: Read analyze each question carefully. Write your answer on your answer
sheet.
I.MULTIPLE CHOICE: Choose the letter of the best answer.
Competency: Illustrates: (a) null hypothesis (b) alternative hypothesis (c) level of significance
(d) rejection region; and (e) types of errors in hypothesis testing.M11/12SP-IVa-1
Understand - Conceptual
1. Which of the following illustrates a null hypothesis?
a. Senior high school students read their Math lessons for 25 minute per day.
b. The average BMI of the pupils under feeding program is different from 18.2
c. The content of soda X has an average of less than 300 ml.
d. The proportion of obese children ages 3-10 is higher than 40%.
2. Which of the following illustrates alternative hypothesis?
a. µ = 25
b. µ ≠ 25
c. µ ≥ 25
d. µ ≤ 25
3. When can you say that you have committed a Type I Error?
a. When a false null hypothesis is rejected
b. When a true null hypothesis is not rejected
c. When a true null hypothesis is rejected
d. When a false null hypothesis is rejected
4. If the non-rejection area in a two tailed test rejection region covers 95% of the standard normal
distribution, what is the rejection region area on the left tail?
a. 0.5%
b. 1%
c. 2.5%
d. 5%
Competency: Calculates the probabilities of committing a Type I and Type II error. M11/12SPIVa-2. Evaluate - Conceptual
5-6. A DTI representative wants to test at 99% confidence level whether the average content of a
soda is less than 330ml as indicated in the label. Is the probability of committing Type I Error
0.01%?
a. Yes, because it is fixed to all situations with 99% confidence level.
b. Yes, because when 1% is converted into decimal, Type I Error will be 0.01%.
c. No, because the correct probability of committing Type I Error is 0.10%
d. No, because the remaining 1% is the correct probability of Type I Error.
Competency: Identifies the parameter to be tested given a real-life problem. M11/12SP-IVa-3
Understand - Conceptual
7. A college dean claims that a bachelor’s degree can be earned in an average of 5 years. Using
hypothesis testing, what needs to be tested in the situation?
a. Ho: µ = 5
b. Ho: σ = 5
c. Ha: µ ≠ 5
d. Ha: σ ≠ 5