True or False? In Exercises 5-8, determine whether the statement is true or false. If it is false, rewrite it as a true statement. 5. As the size of a sample increases, the mean of the distribution of sample means increases. 6. As the size of a sample increases, the standard deviation of the distribution of sample means increases. 7. A sampling distribution is normal only if the population is normal. 8. If the size of a sample is at least 30, you can use z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution. Graphical Analysis In Exercises 9 and 10, the graph of a population sample show Its mean and tandard deviation Asrne that
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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