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What happens to the graph of the normal curve as the mean increases?
The graph shifts to the right.
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
What is the z value such that 50 percent of the total area lies to the right of the curve in a normal distribution?
The Z value is 0.
What are the characteristics of a normal distribution curve?
Characteristics of a Normal Distribution1) Continuous Random Variable.2) Mound or Bell-shaped curve.3) The normal curve extends indefinitely in both directions, approaching, but never touching, the horizontal axis as it does so.4) Unimodal5) Mean = Median = Mode6) Symmetrical with respect to the meanThat is, 50% of the area (data) under the curve lies to the left ofthe mean and 50% of the area (data) under the curve liesto the right of the mean.7) (a) 68% of the area (data) under the curve is within onestandard deviation of the mean(b) 95% of the area (data) under the curve is within twostandard deviations of the mean(c) 99.7% of the area (data) under the curve is within threestandard deviations of the mean8) The total area under the normal curve is equal to 1.
What proportion of a normal distribution is located between the two z scores -1.25 and 1.25?
Approx 78.88 % Normal distribution tables give the area under the normal curve between the mean where z = 0 and the given number of standard deviations (z value) to its right; negative z values are to the left of the mean. Looking up z = 1.25 gives 0.3944 (using 4 figure tables). → area between -1.25 and 1.25 is 0.3944 + 0.3944 = 0.7888 → the proportion of the normal distribution between z = -1.25 and z = 1.25 is (approx) 78.88 %
What is the area under the normal distribution curve to the right of z that equals 3.24?
0.0006 (approx).
Find the z-score having area 0.86 to its right under its standard normal curve?
This is the standard normal curve. To the left P(X<x) therefore to the right is P(X>x). Therefore this means that to calculate the probability look up the Z score on the standard normal table. Then P(X>x) = 1-P(X<x). This is because the curve is symmetrical arounds its mean.
What is the math shape when it looks like a bow?
It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.
Is the value of mean equals 35.4 and value of median equals 35 the shape of the curve skewed is?
the shape of the curve skewed is "right"
What happens to the graph of the normal curve as the mean increases?
The graph shifts to the right.
Can a normal distribution curve be symmetric or left-skewed or right-skewed?
Symmetric
Is it normal if your penis goes to the left when hard?
Yes. Although all do not curve left or right, a curve in one direction or the other when hard is very common (i.e. normal)
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
What proportion of the area under a normal curve is to the right of a z-score of zero?
50 percent.
Is the total area under a normal distribution curve to the right of the mean is always equal to 0?
100%
What point does the normal intersect?
The normal intersects a curve at a right angle, forming a perpendicular line to the tangent of the curve at that point. This intersection is crucial for determining the rate of change or slope of a function at a specific point.
Is income held constant along the demand curve?
Yes, an increase or decrease in income will cause a shift in the demand curve right or left depending on if the good is inferior, normal, or superior
