NORMAL DISTRIBUTION AND ITS PROPERTIES Flashcards
-probability distribution of continuous random variables.
-Gaussian distribution.
NORMAL PROBABILITY DISTRIBUTION
The total area under the normal curve is___.
A. -1
B. 0
C. 0.5
D. 1
D. 1
What is the shape of a Normal Probability Distribution?
A. Bar
B. Curve
C. Circle
D. Line
B. Curve
Which of the following statements is the characteristic of a normal probability distribution?
A. The three measures of central tendency such as mean, mode, and median are equal.
B. The three measures of central tendency such as mean, mode, and median are not equal.
C. The two measures of central tendency such as mean, and mode are equal while the median is greater than zero.
D. The two measures of central tendency such as mean, and mode are equal while the median is less than zero.
Which of the following describes the standard normal distribution?
A. has a mean of zero (0) and a standard deviation of 1.
B. has a mean of 1 and a variance of zero (0).
C. has an area equal to 0.5.
D. cannot be used to approximate discrete probability distributions.
A. has a mean of zero (0) and a standard deviation of 1.
What percent of the area under a normal curve is within 3 standard deviations?
A. 68.3%
B. 95.4%
C. 99.7%
D. 100%
C. 99.7%
Which of the following does not describe a normal curve?
A. asymptotic
B. bell-shaped
C. discrete
D. symmetrical about the mean
C. discrete
What is the area if the z - score given is -1.83?
A. 0.0344
B. 0.0336
C. 0.0329
D. 0.0322
B. 0.0336
What is the z-value if the area is 0.9608?
A. -1.76
B. -1.77
C. 1.76
D. 1.77
C. 1.76
What is the below z= 1.85
A. 0.9083
B. 0.9846
C. 0.9678
D. 0.9838
C. 0.9678
The weights (in kg) of 11-STEM B follow a normal distribution and has a mean of 50 and a standard deviation of 5. What is the probability of students having weights greater than 57?
A. 1.4
B. 0.0808
C. 0.9192
D. 0.9332
B. 0.0808
A random variable X has a mean of 4 and a standard deviation of 2. What is the corresponding z-score for x = 7?
A. 0.5
B. 1.0
C. 1.5
D. 2
C. 1.5
Gracia, an ALS student, obtained a z-score of 1.35 in an achievement test that is normally distributed with a mean grade of 85 and standard deviation of 5. What was Gracia’s grade in the achievement test?
A. 71.25
B. 78.25
C. 91.75
D. 94.65
C. 91.75
ABM students launched the “Go Negosyo” project. If their weekly sales on this project is normally distributed with mean of 3,200 and standard deviation of 500. What percent of their weekly sales is 4,000?
A. 94.52%
B. 77.34%
C. 22.57%
D. 23.67%
A. 94.52%
What is the value of 97.5th percentile in a standard normal distribution?
A. -1.96
B. -1.97
C. 1.96
D. 1.97
C. 1.96
Which of the following best defines random sampling?
A. Selecting a sample based on convenience
B. Selecting a sample where every member has an equal chance of being chosen
C. Choosing a sample based on specific characteristics
D. Selecting only the first few members of a population
B. Selecting a sample where every member has an equal chance of being chosen
A teacher wants to survey students about their study habits. She lists all students and picks every 5th student from the list. What sampling method is she using?
A. Simple Random Sampling
B. Systematic Random Sampling
C. Stratified Random Sampling
D. Cluster Random Sampling
B. Systematic Random Sampling
A researcher wants to compare students’ academic performance based on gender. He separates the students into male and female groups and then randomly selects from each group. What sampling technique is used?
A. Cluster Random Sampling
B. Systematic Random Sampling
C. Stratified Random Sampling
D. Convenience Sampling
C. Stratified Random Sampling
A health department wants to study the nutrition habits of elementary students. They randomly select three schools and survey all students from those schools. Which sampling method is applied?
A. Simple Random Sampling
B. Stratified Random Sampling
C. Cluster Random Sampling
D. Systematic Random Sampling
C. Cluster Random Sampling
A university researcher writes the names of all students in a bowl, shuffles them, and picks 20 students at random. What sampling technique is this?
A. Stratified Random Sampling
B. Cluster Random Sampling
C. Systematic Random Sampling
D. Simple Random Sampling
D. Simple Random Sampling
A company wants to analyze employee satisfaction levels. They divide employees into different departments and randomly select a few from each. What method is used?
A. Systematic Random Sampling
B. Cluster Random Sampling
C. Stratified Random Sampling
D. Simple Random Sampling
C. Stratified Random Sampling
A researcher wants to study the coffee-drinking habits of college students in a university with 5,000 students. He surveys 200 randomly selected students. What is the population and sample in this study?
A. Population: All students in the university; Sample: The 200 students surveyed
B. Population: The 200 students surveyed; Sample: All students in the university
C. Population: All students who drink coffee; Sample: All students in the university
D. Population: The students in one class; Sample: The university’s coffee drinkers
A. Population: All students in the university; Sample: The 200 students surveyed
