3. In 2014, according to the National Center for Health Statistics, the age at which American men first married had a mean of 28.9 years. A researcher believes that the mean age of first marriage for American men has increased since then. She obtains a random sample of 40 married American men who married for the first time last year. The men in the sample married at a mean age of 30.5 years, with a standard deviation of 5.3 years. Using the classical approach, perform a Hypothesis Test using a = 0.05 level of significance, and determine if there is evidence to conclude that the mean age of first marriage for American men has increased since 2014. H, : H : Verify any requirements for this test: Show work and draw a sketch, shading the critical region Show (above) your critical value at the given level of significance t 'crit and show your sample test statistic t, Determine and interpret the p-value: p-value = Clearly state 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.
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