a)Completely describe the sampling distribution of the sample mean. (i)Mean: (ii)Standard deviation: (iii)Shape: (just circle the correct answer) Normal Approximately normal Skewed We cannot tell b)What is the probability that the sample (n=36) produce a sample mean of 165 pounds or higher, but will not exceed the weight limit ? c) If your random sample (n=36) actually produced a sample mean equal to 190 pounds, (i)Would you consider this unusual? Justify your answer with calculations
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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