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The positive critical value depends on the distribution and then the parameters (if any) which characterise the distribution.
A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.
Use the context: if the variable should be greater than the mean then z is positive and if less than the mean, it should be negative.
An x value that is smaller than the mean cannot have a positive z score.
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
The positive critical value depends on the distribution and then the parameters (if any) which characterise the distribution.
A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.
The standard Normal distribution is symmetric about 0 and so 50% of the Z values are positive.
It is true. Because the normal distribution is above the horizontal axis for all values, the area under it is a positive quantity no matter the z value.
Yes. However, because the distribution is symmetric about 0, some tables give only positive values for z.
The Z value is negative, but area is always positive.
It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.It is the expected value of the distribution. It also happens to be the mode and median.
Use the context: if the variable should be greater than the mean then z is positive and if less than the mean, it should be negative.
An x value that is smaller than the mean cannot have a positive z score.
the absolute value for a negative or positive value is always positive
Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
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