WorksheetsSTATISTICS AND PROBABILITY PRACTICE TEST Q3 2nd Sem
Total questions: 50
Worksheet time: 31mins
What are the possible values of a random variable when a coin is tossed once?
Tail (T) and Head (H)
The number of dots 1,2,3,4,5,6
Tail and Tail (TT), and Head and Head (HH)
The pair of even number of dots (2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4) and (6,6)
What is the first step in finding the variance of a discrete probability distribution?
Calculate the standard deviation
Find the mean of the probability distribution
Subtract the mean from each value of the random variable X
Multiply the square of the difference of X and the mean by each value of the random variable.
Which of the following is NOT a property of a normal curve?
The total area under it is 1.
The curve is symmetric about the center.
It is divided into positive 2 and negative 2 standard deviations
The mean, median, and mode have the same value and are located at the same point.
A fair coin is tossed three times and the sequence of heads (H) and tails (T) is observed. What is the probability that no heads will appear?
1/8
3/8
5/8
2/3
Which of the following illustrates a systematic sampling method?
A researcher conducted a survey of 50 randomly selected workers from each of these categories: high school graduate, with undergraduate degrees, with master’s degree, and with doctoral degree.
A researcher interviewed all freshmen in each of 15 randomly selected public schools in Surigao del Norte.
A researcher doing a research work on students’ reaction of the newly implemented curriculum and interviewed every 10th student entering the gate.
A researcher selected a sample of n = 120 from a population 850 using the Table of Random Numbers.
The expected value of a random variable is the
largest value that will ever occur.
mean value over an infinite number of observations of the variable.
most common value over an infinite number of observations of the variable.
value that has the highest probability of occurring.
The area under the part of normal curve in the standard normal distribution that lies within 2 standard deviations of the mean is
68%
95%
99.7%
100%
What would be the best interpretation you can create given the mean of the probability distribution?
Most customers will purchase 3 tickets.
Cardo can expect to have more tickets sold.
A group of 10 customers will purchase exactly 29 tickets.
If we look at a large number of customers, then each customer, on the average, will have purchased about 1.66 tickets.
What is the variance of the probability distribution?
2.18
2.19
2.20
2.21
A randomly selected sample of 400 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent (46%) of the 400 students surveyed answered "yes." Which one of the following statements about the number 46% is correct?
It is a sample statistic
It is a random variable
It is a population parameter
It is a quantitative discrete variable
Which statement is NOT true about the variance of a discrete random variable?
Variance is always nonnegative.
It tells the average of the items in a discrete probability distribution
It measures how far apart the elements of the set are spread out
High variance indicates that the data points are very spread out around the mean.
Which of the following is a discrete random variable?
the number of patients in a hospital
the average weight of female athletes
the average amount of electricity consumed
the amount of paint used in repainting a building
It is a variable being measured to produce numerical observations associated with the random outcomes of a chance experiment.
fixed variable
dependent variable
independent variable
random variable
A set of Mathematics exam scores has a mean of 68 and a standard deviation of 8. A set of English exam scores has a mean of 75 and a standard deviation of 10. For which exam would a score of 78 have a higher standing?
Math
English
both Math & English
cannot be determined
Cardo sells a maximum of 3 tickets per customer. Let T be the number of tickets sold to a random customer. Below is the probability distribution of T.
0.20
0.17
0.40
0.23
What is "P(a<x<b)"?
The area to the left of a.
The area to the right of a.
The area between a and b.
The area to the right of b.
A local club plans to invest P10,000 to host a basketball game. They expect to sell tickets worth P15,000. But if it rains on the day of the game, they won't sell any tickets, and the club will lose all the money invested. If the weather forecast for the day of the game is 20% possibility of rain, is this a good investment?
No because the expected value is positive P2,000
No because the expected value is negative P2,000
Yes because the expected value is positive P2,000
Yes because the expected value is negative P2,000
Evaluate the score of the student in a biology test where the equivalent z-score is 0.98. The mean of the test was 88 with a standard deviation of 9.5.
95
96
97
98
What do you call a portion or representative of population?
Parameter
Population
Sample
Statistic
Which of following is true about the mean of the sample means?
The mean of the sample mean is equal to the population mean.
The mean of the sample mean is equal to the population mean divided by the population variance.
The mean of the sample mean is equal to the square of population mean.
The mean of the sample mean is equal to the square root of population mean.
What happen to the histogram of the sample means of the random samples in Central Limit Theorem, as n→∞?
It changes nothing from the original population.
It shows the variance of the distribution.
It shows the standard deviation of the distribution.
It approaches the normalcy of the distribution.
Below are the scores of 8 Grade 11 students in the Statistics quiz. 7, 8, 12, 15, 10, 11, 9, 14
What is the mean of the sample means of size 3?
9.50
9.75
10.50
10.75
Which is NOT a correct statement?
The total probability distribution of the sample mean is always equal to 1.
There are 10 possible samples of size 3 drawn in the population N = 5.
There are 31 possible samples of size 3 drawn in the population N = 7.
There are 20 possible samples of size 3 drawn in the population N = 6.
Which concept of random sampling distribution of the sample means using Central Limit Theorem?
If you have a population mean μ and standard deviation and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately distributed normally.
The probability of the simultaneous occurrence of two events that are independent is given by the product of their individual probabilities.
If you have a population mean μ and standard deviation and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately distributed same as the original population.
The larger the sample size n in sampling distribution of sample mean, the lesser the histogram is to show the normalcy of the distribution.
Below are the scores of 8 Grade 11 students in the Statistics quiz. 7, 8, 12, 15, 10, 11, 9, 14
What is the variance of the sample means of size 3 if the population variance is 6.9375?
1.5
1.6
1.7
1.8
The following are common properties of z-distribution and t-distribution, except:
The mean, median, and mode are zero.
The total area under the curve is 100%.
The curve is asymptotic to the x-axis.
The variance is always greater than 1.
Which of the following is the length of the interval between 45.5 and 60?
10.5
14.5
45.5
60
Human gestation length is said to be normally distributed with a mean of 266 days and a standard deviation of 16 days. Suppose 64 pregnancies are randomly selected. What is the probability that the average gestation length is between 262 and 270 days
95.45%
95.50%
95.75%
95.80%
The midterm examination scores in Statistics and Probability follows a normal distribution with mean of 38 and a standard deviation of 2. If Felix is included in the top 5%, what minimum score should Felix have?
40
41
42
43
A randomly selected 400 students out of 9000 students at a university with 15-week semesters was asked whether or not they think the semester should be shortened to 14 weeks (with longer classes). Forty-six percent (46%) of the 400 students surveyed answered "yes." What is the sample?
400 students
9000 students
15-week semesters
46% who answered “yes”
A method of systematically gathering information on a fraction of a population (called samples) for the purpose of inferring quantitative descriptors of the attributes of the population
Survey
Interview
Census
Experiment
A study occurs if the entire population is very small, or it is reasonable to include the entire population. It is called a census because data is gathered on every member of the population.
Survey
Interview
Census
Experiment
The purest form of Sampling
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
What is the sampling technique used when the population is large or when it involves subjects residing in a large geographic area?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
What is the sampling method that relies on arranging the target population according to some ordering scheme and involves a random start and then proceeds with the selection of every kth element from then onwards?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
What is the sampling method which obtain samples by dividing the population into subgroups or strata according to some characteristic relevant to studies?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
The registrar gave the researcher a list of 300 Grade 11 students of a certain school. The researcher selected every 15th name on the list. What type of sampling the researcher should use?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
A researcher interviewed people from each barangay in the City of Antipolo for his research on population. What type of sampling the researcher should use?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
The researcher interviewed all top 5 Grade 12 students in each of 20 randomly selected private schools in Antipolo City. What type of sampling the researcher should use?
Simple Random Sampling
Stratified Sampling
Systematic Sampling
Cluster Sampling
What is the probability area of z=1.25
0.8944
0.8749
0.9265
0.9115
What is the probability corresponding to the z = -2.08?
0.0188
0.0146
0.0192
0.0239
What is the probability that corresponds to the z > -0.33?
0.3707
0.6293
0.7293
0.2707
What is the population mean of
X={15,25,35,45,55}
35
30
40
25
If the population standard deviation of a dataset is 2.4, what is the population variance?
1.55
5.76
1.33
4.8
If the population variance of a set of data is 28.36, what is the population standard deviation?
4.33
5.33
6.33
7.33
If the population standard deviation of a dataset is 1.9, what is the population variance?
1.38
3.61
3.8
0.95
If the population variance of a set of data is 3.54, what is the population standard deviation?
2.88
1.88
0.88
3.88
If the population mean is 3.7, what is the mean of the sampling distribution?
3.7
1.92
13.69
0
If the dataset has a sample size of n=3 with a population variance of 11.43, what is the variance of the sampling distribution of the means?
2.81
3.81
4.81
5.81
If the dataset has a sample size of n=4 with a population standard deviation of 4.84, what is the standard deviation of the sampling distribution of the means?
2.2
2.42
2.22
2.24
