The governor of a state wanted to assess the public education system of the state. She instructed a group of researchers to create a test to assess the knowledge of every high school senior in the state. The researchers administered the tests and found that the average score was 74 points out of 100, with a standard deviation of 20 points. Complete parts (a) through (c) below. a. Identify the population and variable. Choose the correct population below. A. The population is the group of all high school seniors in the state. B. The population is the group of every state's governor. C. The population is the group of all high school teachers in the state. O D. The population is the group of all high school students in the state. Choose the correct variable below. A. The variable is the number of high school seniors. O B. The variable is the test length. c. The variable is the test score. O D. The variable is the number of high school students. b. For samples of size 225, find the mean u; and standard deviation o; of all possible sample mean test scores. (Type an integer or a decimal.)
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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