From the related link, you can read directly the probability that Z is less than 1.51 is 0.9345.
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
with mean of and standard deviation of 1.
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
The standard deviation in a standard normal distribution is 1.
The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
The probability density of the standardized normal distribution is described in the related link. It is the same as a normal distribution, but substituted into the equation is mean = 0 and sigma = 1 which simplifies the formula.
with mean of and standard deviation of 1.
a mean of 1 and any standard deviation
Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.
The standard deviation in a standard normal distribution is 1.
The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.
probability is 43.3%
The standard deviation in a standard normal distribution is 1.
No. Normal distribution is a continuous probability.
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
The cumulative probability up to the mean plus 1 standard deviation for a Normal distribution - not any distribution - is 84%. The reference is any table (or on-line version) of z-scores for the standard normal distribution.