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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%
What is the area under the normal curve between z -1.0 and z -2.0?
The area under the normal curve between z = -1.0 and z = -2.0 can be found using the standard normal distribution table or a calculator. The area corresponds to the probability of a z-score falling within that range. For z = -1.0, the cumulative probability is approximately 0.1587, and for z = -2.0, it is about 0.0228. Therefore, the area between these two z-scores is approximately 0.1587 - 0.0228 = 0.1359, or 13.59%.
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 P(0 z 2.53)?
P(0 < z < 2.53) refers to the probability that a standard normal random variable (z) falls between 0 and 2.53. To find this probability, you would typically look up the z-scores in a standard normal distribution table or use a calculator. The cumulative probability for z = 2.53 is approximately 0.994, and for z = 0, it is 0.5. Therefore, P(0 < z < 2.53) is approximately 0.994 - 0.5 = 0.494.
What is the probability that type 1 error will be made z -2.575 or z 2.575?
The probability is 0.005012, approx.
