The following table gives information on average saturated fat (in grams) consumed per day and cholesterol level (in milligrams per centiliters) of ten men taken from a simple random sample.
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.
Exercise 4. The following table gives information on average saturated fat (in grams) consumed per day and cholesterol
level (in milligrams per centiliters) of ten men taken from a simple random sample.
Fat Consumption (in grams) 55 68 50 34 43 58 77 36 60 39
Cholesterol level (in mg/cL) 180 215 195 165 170 204 235 150 190 185
(a) Find the
(b) Find the
(c) Based on your value of part b, use the critical value in Table II to determine if there is a linear relationship between fat
consumption and cholesterol level.
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