Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $56.4 thousand Assume a standard deviation of $7.6 thousand. Complete parts (a) through (e) below. a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is µ; = $. (Type an integer or a decimal. Do not round.)
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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Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $56.4 thousand.
Assume a standard deviation of $7.6 thousand. Complete parts (a) through (e) below.
a. Determine the sampling distribution of the sample mean for samples of size 64.
The mean of the sample mean is
= $
(Type an integer or a decimal. Do not round.)"
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A variable is normally distributed with mean 10 and standard deviation 2.
a. Find the percentage of all possible values of the variable that lie between 7 and 15.
b. Find the percentage of all possible values of the variable that are at least 9.
c. Find the percentage of all possible values of the variable that are at most 5.
Click here to view page 1 of the table of areas under the standard normal curve.
Click here to view page 2 of the table of areas under the standard normal curve.
a. The percentage of all possible values of the variable that lie between 7 and 15 is %.
(Round to two decimal places as needed.)"
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