hirty persons are attending a 50th school reunion banquet. The waiter asks if they have any dietary restrictions. One of the group, a nutritionist, tells the waiter that 8 of them are on a low salt diet, 6 can’t eat any foods containing nuts, and 14 are on diets low in saturated fat. Furthermore, 3 can’t have salt, saturated fat, or nuts, 7 can’t have salt or saturated fat, 3 can’t have nuts or saturated fat, and 4 can’t have nuts or salt. a. Draw and label the appropriate Venn diagram for this problem. b. How many have only one of the 3 restrictions on their diet? c. How many have none of the 3 dietary restrictions?
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.
Thirty persons are attending a 50th school reunion banquet. The waiter asks if they have any dietary
restrictions. One of the group, a nutritionist, tells the waiter that 8 of them are on a low salt diet, 6 can’t eat
any foods containing nuts, and 14 are on diets low in saturated fat. Furthermore, 3 can’t have salt, saturated
fat, or nuts, 7 can’t have salt or saturated fat, 3 can’t have nuts or saturated fat, and 4 can’t have nuts or salt.
a. Draw and label the appropriate Venn diagram for this problem.
b. How many have only one of the 3 restrictions on their diet?
c. How many have none of the 3 dietary restrictions?
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