FOURTH MONTHLY TEST IN STATISTICS AND PROBABILITY
Name: ______________________________________________ Score: ______________________
Section: ________________________________________
Date: _______________________
“However difficult life may seem, there is always something you can do and succeed at.”
- Stephen Hawking GENERAL DIRECTION:
Read each item carefully. Write the letter of your answer on the space provided before each item.
____1. The descriptive measures computed from a population are called parameters while descriptive
measures computed from a sample are called __________________ .
a. Statistics
c. Sample mean
b. Sampling
d. Sample size
____2. This consists of means derived from all possible random samples of specific size obtained from a
population.
a. A sampling distribution of sample proportions
b. A sampling distribution of sample variances
c. A sampling distribution of samples
d. A sampling distribution of sample means
____3. The means of the samples are less than or greater than the mean of population. The difference
between the sample mean and the population mean is called _______________.
a. Variance
c. Population error
b. Sampling error
d. Standard deviation
____4. What is the shape of the sampling distribution of the means if random samples of size n become
larger?
a. Left skewed
c. Normal
b. Right skewed
d. Rectangular
____5. In Statistics, error refers to:
a. Mistake resulting in wrong decisions
b. Mistake resulting from computation
c. Difference between two parameter values
d. Difference between an observed value and a parameter
____6. Which of the following statements is correct?
a. The mean of the sampling distribution of the means is less than the population mean.
b. The mean of the sampling distribution of the sample means is greater than the population mean.
c. The means of the samples drawn from a population are always equal to the population mean.
d. The means of the samples drawn from a population may be equal, greater than or less than the
population mean.
____7. What do you call a number that describes a population characteristic?
a. sample statistic
c. variable
b. parameter
d. decimal
____8. A certain population has a mean of 15.4 and a standard deviation of 5.6. If random samples of size 5
is taken from this population, which of the following statements is correct?
a. The mean of the sampling distribution of the sample means is equal to 15.4.
b. The mean of the sampling distribution of the sample means is less than 15.4.
c. The standard deviation of the sampling distribution of the sample means is 5.6.
d. The standard deviation of the sampling distribution of the sample means is 15.4.
____9. What do you call a single value that may refer to a parameter value?
a. Z statistic
c. Point estimate
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b. T statistic
d. Interval estimate
____10. A range of values called ______________ is also used to estimate a population parameter.
a. Point estimate
c. Standard estimate
b. Interval estimate
d. Normal estimate
____11. “As the sample size n increases, the shape of the distribution of the sample means taken with
replacement from a population with mean and standard deviation will approach a normal distribution.”
The given statement is better known as _______________.
a. the Bayes’ Theorem
b. the Central Limit Theorem
c. the z-distribution
d. the t-distribution
____12. How many possible sample of 3 members can be drawn from a population of size 12?
a. 36
c. 144
b. 1728
d. 220
____13. Among the three values of central tendency, the best estimator of the population parameter is the
_____.
a. Mean
c. Mode
b. Median
d. Range
____14. When the mean of a sample statistic from a large number of different random samples equals the
true population parameter, then the sample statistic is a/an _____________ of the population parameter.
a. Unbiased estimate
c. Over estimate
b. Under estimate
d. Interval estimate
𝝈
____15. The expression
is referred to as:
√𝒏
a. Mean of the sampling distribution
b. Standard deviation of the raw score distribution
c. Mean of the sampling distribution of proportions
d. Standard error of the sampling distribution of means
____16. The standard deviation of the sampling distribution of the sample means is a measure of
___________.
a. The degree of accuracy of the sample mean as an estimate of the population mean.
b. The degree of accuracy of the variance as an estimate of the population mean.
c. The degree of accuracy of the variable as an estimate of the population mean.
d. The degree of accuracy of the measurement as an estimate of the population mean.
____17. A sample refers to ____________ of a population.
a. a subset
c. a description
b. a list
d. another name
____18. Which sample size will give a smaller standard error of the mean?
a. 12
c. 25
b. 20
d. 35
____19. Which sample size will give a larger standard error of the mean?
a. 18
c. 30
b. 28
d. 40
____20. A good estimate of the mean is obtained if _________________________.
a. the standard error of the mean is small
b. the standard error of the mean is large
c. the size of the sample is small
d. the standard error of the mean is not close to zero
____21. Based on the 3𝜎 rule or empirical rule, what percentage of the area under the normal distribution
lies within 1 standard deviation below and 1 standard deviation above the mean?
a. 68%
c. 95%
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b. 90%
d. 99%
____22. It is termed as the processes involved in making conclusions about population values?
a. Estimating parameters
c. Inferential statistics
b. Hypothesis Testing
d. Descriptive statistics
____23. A population may be countable or hypothetical collection of elements. The actual number of
customers served in a restaurant constitutes _____________.
a. a finite population
c. an inestimable population
b. an infinite population
d. a huge number of population
____24. The results of a coin tossing experiment to determine the probability of getting heads or tails
constitutes_____________.
a. a finite population
c. a limited population
b. an infinite population
d. a restricted number of population
____25. A probability distribution of the sample means is also called _________________________.
a. sampling distribution of the sample means
b. sampling distribution of sample proportions
c. sampling distribution of sample variances
d. sampling distribution of samples
____26. The number of samples of size r that can be drawn from a population of size n is given by the formula
___________.
a. rCn
c. 2nCr
b. nCr
d. nC2r
____27. Which of the following is the 95% confidence coefficients?
a. ±1.645
c. ±2.33
b. ±1.96
d. ±2.58
____28. Which of the following is the 99% confidence coefficients?
a. ±1.645
c. ±2.33
b. ±1.96
d. ±2.58
____29. A good estimator of a population parameter has the following properties EXCEPT.
a. The mean of a sample statistic equals the true population parameter.
b. The sample statistic is an unbiased estimate of the population parameter.
c. The estimates are not very far from the true parameter value.
d. The sample statistic departs from the true population value.
____30. How many possible sample of 8 members can be drawn from a population of size 12?
a. 120
c. 390
b. 495
d. 459
- END OF TEST -
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