Finding Probabilities Associated With z-score Values 1) What is the probability of getting a z-score > than +2.00 à p(z > +2.00)? p (z > +2.00) = 2) p (z < -0.68) = 3) p (z between -1.00 and +1.00) = 4) p (z < -1.96 or z > +1.96) = 5) What percentile rank corresponds to the z-score +1.63? Finding z-scores From Probabilities 6) 1) What z-score separates the top 20%? 2) What z-score separates the lowest 8%? 3) What z-scores represent the middle 86.64%? 3) What z-scores represent the middle 70% of the scores? (use column D) Finding Probabilities from Specific X-values 1) In a population with μ = 50, σ = 10, what is the probability of obtaining a score less than 35 à p (X < 35)? 2) In a population with μ = 100, σ = 25, what is the probability of obtaining a score greater than 150? 3) In a population with μ = 100, σ = 25, what is the probability of obtaining a score between 75 and 125? Finding Specific X-values from Probabilities 1) In a population with μ = 50, σ = 10 , what is the minimum score allowed in order to be in the top 25% of the distribution? 2) In a population with μ = 50, σ = 10, what is the maximum score allowed in order to be in the bottom 10% of the distribution? 3) In a population with μ = 50, σ = 10, what are the minimum and maximum scores allowed in order to be in the middle 95%?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Finding Probabilities Associated With z-score Values
1) What is the
p (z > +2.00) =
2) p (z < -0.68) =
3) p (z between -1.00 and +1.00) =
4) p (z < -1.96 or z > +1.96) =
5) What percentile rank corresponds to the z-score +1.63?
Finding z-scores From Probabilities
1) What z-score separates the top 20%?
2) What z-score separates the lowest 8%?
3) What z-scores represent the middle 86.64%?
3) What z-scores represent the middle 70% of the scores? (use column D)
Finding Probabilities from Specific X-values
1) In a population with μ = 50, σ = 10, what is the probability of obtaining a score less than 35 à p (X < 35)?
2) In a population with μ = 100, σ = 25, what is the probability of obtaining a
score greater than 150?
3) In a population with μ = 100, σ = 25, what is the probability of obtaining a
score between 75 and 125?
Finding Specific X-values from Probabilities
1) In a population with μ = 50, σ = 10
, what is the minimum score allowed in
order to be in the top 25% of the distribution?
2) In a population with μ = 50, σ = 10, what is the maximum score allowed in
order to be in the bottom 10% of the distribution?
3) In a population with μ = 50, σ = 10, what are the minimum and maximum scores
allowed in order to be in the middle 95%?
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