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WorksheetsStatistics and Probability Quiz
Total questions: 60
Worksheet time: 3600secs
This refers to an intelligent guess about a population parameter.
Decision
Hypothesis
Rejection
Significance
It is the starting point of the investigation in hypothesis testing.
Alpha Level
Rejection Region
Null Hypothesis
Alternative Hypothesis
What is the symbol that can be used to denote the probability of committing Correct Decision A?
𝛼
𝛽
1 − 𝛼
1 − 𝛽
The calculations in determining rejection region can be graphically represented by using _____________.
Bar Graph
Straight Line
Normal Curve
Cartesian Plane
It is called the critical Region
P (type II error) = ß
Ho = parameter = specific value Ha = parameter < specific value
Rejection region
Ho = parameter = specific value Ha = parameter ≠ specific value
This is a two-tailed test
P (type II error) = ß
Ho = parameter = specific value Ha = parameter < specific value
Rejection region
Ho = parameter = specific value Ha = parameter ≠ specific value
This is a left-tailed test
P (type II error) = ß
Ho = parameter = specific value Ha = parameter < specific value
Rejection region
Ho = parameter = specific value Ha = parameter ≠ specific value
Which of the following is NOT a discrete variable?
The number of coins that match when three coins are tossed at once.
The number of non-defective I-phone
The weight of box delivered by the grab driver last December
The number of vehicles owned by Ambrocio family
Which of the following is NOT a continuous variable?
The number of arrivals at an emergency room between 8am to 8pm
The temperature of a cup of tea served at a restaurant
The weight in pounds of a bag of powdered milk as relief good last month
The average height of 'rubber trees' along Rovera Street
A variable where the information or data can take infinitely many values and can also be obtained by measuring?
Qualitative variable
Quantitative variable
Continuous variable
Discrete Variable
Which of the following statement describe a continuous variable?
The average distance travelled by a jeep in a week
The number of students present in a class
The number of girls wearing eyeglasses
A variable whose value could be a finite and countable number is a
Continuous variable
Discrete variable
Qualitative
Quantitative
Which of the following is discrete random variable?
Claire is 165 cm tall
Claire weighs 68 kilograms
Claire has 5 pets
Claire ran 500 meters in two minutes
Which of the following is NOT a continuous random variable?
The height of the airplane's flight
The amount of liquid on a container
The number of COVID 19 cases each day
The length of time for the check up in the hospital
You decided to conduct a survey of families with five children. You are interested in counting the number of girls (out of five children) in each family. Is this a random variable?
Maybe
Cannot be determined
Yes, it is a random variable.
No, it is not a random variable.
If a coin is tossed, what are the possible values of the random variable for the number of tails?
0,1,2,3
1,2,3
0,1,2
0,1
Suppose 3 scientific calculators are tested. Let D represent the defective scientific calculator and N for the non-defective. How many possible outcomes will occur from the experiment?
3
4
8
9
You decide to conduct a survey of families with two children. You are interested in counting the number of boys (out of two children) in each family. Is the above experiment 'counting the number of boys (out of 2 children) in each family a random variable?
Yes, it is a random variable.
No, it is not a random variable.
Maybe
It cannot be determined.
Which of the following is NOT a true statement.
Each probability (x) must be between or equal to 0 and 1;
that is 0 ≤ P(x)≤ 1.
The sum of all the probabilities is 1.
Random variables can only have one value.
Which of the following values is not the value of the probability of the random variable?
1.05
0.5
0.15
0.05
What would be the probability of picking a face card (i.e. a king, queen, or jack?
P(Face) = 4/52 = 1/13
P(Face) = 6/52 = 3/26
P(Face) = 12/52 = 3/13
P(Face) = 8/52 = 2/13
What is the probability of rolling, on a fair dice 'a number greater than 4'?
P(greater than 4) = 0
P(greater than 4) = 1⁄2
P(greater than 4)=P(5 or 6)=2/6=1/3
P(greater than 4)=P(1,,2,3,4,5,6)= 6/6 = 1
Which of the following is the area under the normal curve?
0
1
2
3
If the z-value is 0.42, what is the area?
0.0800
0.0279
0.1628
0.3129
Find the area if the value of z = -0.13.
0.0248
0.0517
0.1398
0.2467
If the area is 0.4977, what is the z-value?
1.63
1.97
2.01
2.83
Find the area between z=-1 and z=3.
0.8300
0.8400
0.8350
0.8450
Find the area between z= -1.5 and z=-1.3.
0.0100
0.0200
0.0300
0.0400
Find the area between z= -1.5 and z=-1.3.
0.0100
0.0200
0.0300
0.0400
If the area is 0.8351, what are the two values of z.
z=0.24 and z=0.31
z=1.6 and z=2.1
z=-0.13 and z=-1.3
z=-2.5 and z=1
Find the area of the proportion in the probability notation P(11).
0.1585
0.1586
0.1587
0.1588
Solve for the proportion of the area of the probability notation P(z>1).
0.1585
0.1586
0.1587
0.1588
Find the area of the proportion in the probability notation P(z>-2.5).
0.9937
0.9934
0.9936
0.9938
Given =180 and = 15 in a college entrance examination, find the corresponding zvalue of the score by the following students if X = 150.
2
-2
2.5
-2.5
From the given in number 12, what is the z-value if X = 200?
1.33
1.66
1.99
2.22
What is the value of 82nd percentile?
0.92
0.83
0.53
0.23
What is another name for normal distribution?
Gaussian distribution
Poisson distribution
Bernoulli's distribution
Probability distribution
What is the total area in the distribution under the normal curve?
0
1
2
3
Which of the following is a parameter of normal distribution?
mean
standard deviation
mean and standard deviation
none of the above
The graph of a normal distribution is symmetrical about the ________.
mean
standard deviation
mean and standard deviation
none of the above
What percent of the area under a normal curve is within 2 standard deviations?
68.3%
95.4%
99.7%
100%
Which of the following denotes the standard normal distribution?
A
X
Y
Z
A random variable X has a mean of 12 and a standard deviation of 3.2. What is the corresponding z-score for x = 8?
-1.25
-1.50
-1.75
-2.25
What is the area under the normal curve if the z-score given is 2.14?
0.9830
0.9834
0.9838
0.9842
What is the z-score if the area under the normal curve is 0.0475?
-1.66
-1.67
1.66
1.67
What is the area under the normal curve between the z-scores -1.99 and 1.56?
0.9173
0.9317
0.9369
0.9639
In an achievement test, the mean score of normally distributed values is 70 and the standard deviation is 12. What is the percentage of students who got a score of 85 and above?
0.1056
0.1075
0.8925
0.8944
What is the area under the normal curve?
0
1
2
3
Which of the following is the curve symmetrical to?
Mean
Variance
Standard Deviation
Area
What is the area when the z-score is 0.00?
0.00
0.50
0.10
100
Find the area when the z-score is above 1.92?
0.0274
0.9726
0.5129
0.0329
It is the process of using sample statistics to draw conclusions about true population parameters.
statistical inference
the scientific method
sampling
descriptive statistics
It is the universe or 'totality of items or things' under consideration.
sample
population
parameter
statistic
It is the portion of the universe that has been selected for analysis.
sample
frame
parameter
statistic
It is a summary measure that is computed to describe a characteristic from only a sample of the population.
parameter
census
statistic
scientific method
Which of the following is most likely a parameter as opposed to a statistic?
The average score of the first five learners completing an assignment
The proportion of females registered to vote in a county
The average height of people randomly selected from a database
The proportion of trucks stopped yesterday that were cited for bad brakes
A prototype automotive tire has a design life of 38,500 miles with a standard deviation of 2,500 miles. Five such tires are manufactured and tested. On the assumption that the actual population mean is 38,500 miles and the actual population standard deviation is 2,500 miles, find the probability that the sample mean will be less than 36,000 miles. Assume that the distribution of lifetimes of such tires is normal.
0.0251
0.0105
0.0125
0.2510
The following statements are true about the properties of t-distribution, except
The t-distribution is bell shaped.
It is symmetrical about the mean.
The total area under the curve is 100%.
The curve touches or intersects the x-axis.
A/an ________________ of a population parameter is a single value of a statistic.
Interval estimate
Point estimate
Good estimate
Accurate estimate
A/an ________________ is defined by two numbers, between which a population parameter is said to lie.
Interval estimate
Point estimate
Good estimate
Accurate estimate
