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True or False the probability that a standard normal random variable Z is between 1.50 and 2.10 is the same as the probability Z is between -2.10 and -1.50.?
It is true because the distribution is symmetrical about Z=0.
Does a negative z score yield a negative probability value?
no, z score can be negative but a probability is a always positive between 0 and 1.
For some positive value of Z the probability that a standard normal variable is between 0 and Z is 0.3340. the value of Z is?
0.97
What is the percentage of scores less than 80 if mean is 100 and standard deviation is 20?
z = (80 - 100)/20 = -20/20 = -1 Look up a table of z-scores: Probability = 15.87%
For some positive value of Z the probability that a standard normal variable is between 0 and z is 0.3770. The value of Z is?
P(0 < Z < z) = 0.3770 is the same as looking at P(Z < z) = 0.8770 because the other half of the curve (anything less than 0) has probability of 0.5. Now this is a problem of just looking it up from the table. The table gives a value z = 1.16 for the probability of 0.8770. So P(0 < Z < 1.16) = 0.3770.
What is the probability that an event will occur between z equals -0.46 and z equals 2.21 on the standard normalized curve?
The probability is 0.664
True or False the probability that a standard normal random variable Z is between 1.50 and 2.10 is the same as the probability Z is between -2.10 and -1.50.?
It is true because the distribution is symmetrical about Z=0.
Does a negative z score yield a negative probability value?
no, z score can be negative but a probability is a always positive between 0 and 1.
What is the probability that a data value in a normal distribution is between a z-score of -0.28 and a z-score of 0.64?
-0.92
What is the probability of obtaining a Z value between -2.4 to -2.0?
It is 0.0146
It's true or false that probability of standard normal random variable z is between 1.5 to 2.1 and is the same as the probability z is between -2.1 to -1.5?
True. Due to the symmetry of the normal distribution.
For some positive value of Z the probability that a standard normal variable is between 0 and Z is 0.3340. the value of Z is?
0.97
What is the percentage of scores less than 80 if mean is 100 and standard deviation is 20?
z = (80 - 100)/20 = -20/20 = -1 Look up a table of z-scores: Probability = 15.87%
For some positive value of Z the probability that a standard normal variable is between 0 and z is 0.3770. The value of Z is?
P(0 < Z < z) = 0.3770 is the same as looking at P(Z < z) = 0.8770 because the other half of the curve (anything less than 0) has probability of 0.5. Now this is a problem of just looking it up from the table. The table gives a value z = 1.16 for the probability of 0.8770. So P(0 < Z < 1.16) = 0.3770.
What is the probability that type 1 error will be made z -2.575 or z 2.575?
The probability is 0.005012, approx.
What is the probability that a data value in a normal distribution is between a z-score of -1.98 and a z-score of 1.11 Round your answer to the nearest tenth of a percent?
It is 84.3%
Can a z-score be converted into a probability?
p (z<0)
