Data from the Office for National Statistics show that the mean age at which men in Great Britain get married is 30.8 years ( The Guardian, February 15, 2013) . A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the DATAfile Britain Marriages. Do these data indicate that the mean age of British men at the time of marraige exceeds the mean age in 2013? Test this hypothesis at α= .05. What is your conclusion?
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.
Data from the Office for National Statistics show that the mean age at which men in Great Britain get married is 30.8 years ( The Guardian, February 15, 2013) . A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the DATAfile Britain Marriages. Do these data indicate that the mean age of British men at the time of marraige exceeds the mean age in 2013? Test this hypothesis at α= .05. What is your conclusion?
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