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PERFORMANCE TASK # 6
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In using the z-table, which percentage is related to the left of 𝑧 = 1.50?
93.32%
If z-score = -0.64, what is the area under the normal curve?
z = 0.2611
If z-score = -3.15, what is the area under the normal curve?
z = 0.0008
If z-score = -1.27, what is the area under the normal curve?
z = 1020
If z-score = 0.74, what is the area under the normal curve?
z = 0.7704
If z-score = 3.08, what is the area under the normal curve?
z = 0.9990
If z-score = 2.14, what is the area under the normal curve?
z = 0.9838
What formula represents the standard error of the sampling distribution of the sample mean?
Answer will be written on the board.
Which theorem states that the sampling distribution of the mean approaches a normal distribution as the sample size increases?
CENTRAL LIMIT THEOREM
Given mean 𝜇 = 100, and the standard deviation 𝜎 = 15, what will be the actual score of 𝑥 that corresponds to the following standard score?
115
It is a subset taken from a population, either by random or nonrandom sampling techniques.
SAMPLE
It refers to the entire group that is under study or investigation
POPULATION
What is the measure of mean or variance of sample called?
STATISTIC
What is the measure of mean or variance of population called?
PARAMETER
What can you conclude about the shape of the sampling distribution of the sample mean when the sample size is large?
It approaches a normal distribution.
If a population has a mean of 7.8, what is the mean of the sampling distribution of its mean?
7.8
Given the sample size and the population standard deviation, compute for the standard error of the mean. 𝑛 = 8 , 𝜎 = 40
14.14
Given the sample size and the population standard deviation, compute for the standard error of the mean. 𝑛 = 5 , 𝜎 = 30
13.42
The principal creates a list of all senior high school students. He decides to include every tenth student in his samples.
SYSTEMATIC
Mr. Carreon writes the name of all senior high school students on small pieces of paper. He rolls and puts them in a box and then draws 500 names as respondents in his study.
SIMPLE/LOTTERY
What formula is used to convert a standard normal variable 𝑧 to a normal random variable 𝑥?
Answer will be written on the board.
Which refers to the long-term average or expected value of repeatedly conducting an experiment?
Mean
What percentage of the total area under the normal curve is within one standard deviation from the mean?
68%
In a normal distribution, which represents the center of the distribution where the curve is symmetrical?
Mean, Median, and Mode
In a probability distribution, what is the sum of the probabilities of all possible outcomes?
1
What is the mean value of the given table?
1
If two coins are tossed once, which is NOT a possible value of the random variable for the number of heads? 0,1,2, or 3?
3
What kind of random variable may be classified as discrete or continuous?
QUANTITATIVE
It is also known as numerical data, and its sizes are relevant in answering questions such as “how much” or “how many”.
QUANTITATIVE
Express a categorical attribute, rather than relying solely on numerical values to answer queries like “what kind”.
QUALITATIVE
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