1.A certain association collects data on college endowments. In a specific year, its report included the endowment values of 907 colleges and universities in two countries. a.When the endowment values are arranged in order, what is the location of the median? b.When the endowment values are arranged in order, what are the locations of the quartiles in this ordered list? Q1 = Q3 =
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.
1.A certain association collects data on college endowments. In a specific year, its report included the endowment values of 907 colleges and universities in two countries.
a.When the endowment values are arranged in order, what is the location of the median?
b.When the endowment values are arranged in order, what are the locations of the
| Q1 | = | |
| Q3 | = |
2.Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. In a test to screen for gestational diabetes, a patient is classified as needing further testing for gestational diabetes if the glucose level is above 160 milligrams per deciliter (mg/dL) one hour after a sugary drink. Shelia's measured glucose level one hour after the sugary drink varies according to the Normal distribution with ? = 145 mg/dL and ? = 13 mg/dL. (Round your answers to four decimal places.)
(b) If measurements are made on four separate days and the mean result is compared with the criterion 160 mg/dL, what is the probability that Shelia is diagnosed as needing further testing for gestational diabetes?
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