give me 5 problems about T-Distribution and Z- Distribution
Answers
Step-by-step explanation:
In probability and statistics, the t-distribution is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.
According to the central limit theorem, the sampling distribution of a statistic will follow a normal distribution, as long as the sample size is sufficiently large.
Therefore, when we know the standard deviation of the population, we can compute a z-score, and use the normal distribution to evaluate probabilities with the sample mean.
The t-distribution with degrees of freedom “n – 1” is given below.
t=x¯¯¯−μsN−−√
The Z-distribution is a normal distribution with mean zero and standard deviation 1; its graph is shown here. ... Values on the Z-distribution are called z-values, z-scores, or standard scores. A z-value represents the number of standard deviations that a particular value lies above or below the mean.