The following sample of n = 6 scores was obtained from a population with unknown parameters. Scores: 7, 1, 6, 3, 6, 7 a) Compute the sample mean and sample standard deviation. (Note that these are descriptive values that summarize the sample data.) b) Compute the estimated standard error of M. (Note that this is an inferential value that describes how accurately a sample mean represents an unknown population mean.
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.
The following sample of n = 6 scores was obtained from a population with unknown
parameters.
Scores: 7, 1, 6, 3, 6, 7
a) Compute the sample mean and sample standard deviation. (Note that these are
descriptive values that summarize the sample data.)
b) Compute the estimated standard error of M. (Note that this is an inferential value
that describes how accurately a sample mean represents an unknown population
mean.)
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