Taguig Science High School: Final Examination in Statistics and Probability
Taguig Science High School: Final Examination in Statistics and Probability
Taguig Science High School: Final Examination in Statistics and Probability
Department of Education
Division of Taguig City and Pateros
TAGUIG SCIENCE HIGH SCHOOL
5 ML Quezon Avenue San Miguel, Taguig City
SY 2018 – 2019 Second Semester
MULTIPLE CHOICES. Read and identify the following sentences. Choose and blacken the circle that best
corresponds to the letter of your answer.
6 – 8. Given the information: the sample population is normally distributed, n = 50, 𝜎 = 0.5, and x̅ = 18 Find;
6. The point estimate of the population mean.
A. 0.14 B. 0.5 C. 18 D. 50
9 – 11. Given: n = 20, s = 3, and x̅ = 82.5. The parent population is normally distributed. Find;
14 -16. A survey of 1000 students shows that 780 trust the Principal. Compute a 90% confidence interval for
the proportion of all students who trust Principal, where p̂ represent the proportion who trust the Principal
Page 2 statistics and probability
16. The interval estimate of the proportion of all students who trust Principal is –
A. 75% to 81% B. 20% to 24% C. 76% to 80% D. 0.20 to 0.24
17– 22. A perfume company claims that the bestselling perfume contains at most 25% alcohol.
Twenty bottles where selected and found to have a mean of 29.7% and a standard deviation of 4.8%. Test
the claim of the perfume company at the 5% level of significance.
21. Decision:
A. Accept Ho B. Reject Ho C. Reject Ha D. A & C
22. Conclusion:
A. The bestselling perfume contains at most 25% alcohol.
B. The claim of the perfume company should be accepted
C. The bestselling perfume contains 25% alcohol.
D. The bestselling perfume contains greater than 25% alcohol.
23 – 28. A pill is supposed to contain 25.4 mg of phenobarbital (treatment of certain types of epilepsy) and
standard deviation of 0.95. A random sample of 30 pills yields a mean of 19.7mg. Are these pills accepted at
the 𝛼 = 0.05 significance level?
27. Decision:
A. Accept Ho B. Reject Ho C. Reject Ha D. A & C
28. Conclusion:
A. A pill contains more than 25.4 mg of phenobarbital.
B. A pill is supposed to contain 25.4 mg of phenobarbital.
C. The pills should be accepted.
D. The pills should be not accepted.
Page 3 statistics and probability
29 – 37. A certain health magazine stated that 14% of men said they used exercise to reduce stress. At
α = 0.05, test the claim wherein, from a random sample of 100 men who were selected, 10 said that they
used exercise to relieve stress.
36. Decision:
A. accept Ho B. Reject Ha C. Accept Ha D. none
37. Conclusion:
A. Thus, the claim is correct.
B. Thus, the claim is incorrect
C. The proportion of men said they used exercise to reduce stress is not 14%.
D. All of these
38 – 50. A store manager wishes to find out whether there is relationship between the age of the employee
and the number of days they incur in a year. The data for the sample are shown. Calculate the correlation
coefficient (r) and describe the relationship in terms of strength and direction.
44. Base on the interpretation of the value of r in number 43, this implies that the age of employees and the
number of sick days has a -
A. very high positive correlation C. very high negative correlation
B. high positive correlation D. high negative correlation
45. Base on the interpretation of the value of r in number 44 about the age of employees and the number of
sick days this means that -
A. the older employees tend to have more number of sick days while the younger employees tend to
have less number of sick days.
B. the older employees tend to have less number of sick days while the younger employees tend to have
more number of sick days.
C. The older employees have the same number of sick days with the younger employees.
D. None of these
Prepared by:
RCS