A survey is conducted among college graduates to estimate the average age at which one gets his or her first college degree. For a sample of 12 college graduates, the following ages were collected: 23 28.5 28 21.4 23 34 23.7 20.6 30.4 22.1 25.5 29.7 a) Find the sample mean. Round to 2 decimal places: (b) Find the sample standard deviation. Round to 4 decimal places: (c) Fill in the formula blanks below with specific values for this problem (not symbols) to construct a 99% confidence interval. • To enter Vx where x is any number, type sqrt(x). For example, V2 should be written as sqrt(2). • Round the z-score or t-score to 2 decimal places. O Uting the formula from part (c), calculate the 99% confidence interval. Round each answer to the nearest hundredth (2 decimal places).
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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