A study asked respondents, "If ever married, how old were you when you first married?" The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Mean StDev SE Mean Variable N 95.0% CI AGEWED 26790 23.070 4.991 0.030 (23.010, 23.130) Click the icon to view the table of critical t-values. 4.991 23.070 1.96 • = 23.010 26790 (Round to three decimal places as needed.) Next find the upper bound. 4.991 1,96 • 26790 23.070 + = 23.130 (Round to three decimal places as needed.) (d) Why is the margin of error for this confidence interval so small? O A. The mean is very small. O B. The standard deviation is very large. O C. The standard deviation is very small. O D. The sample size used is very large.
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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