A government organization is examining the effectiveness of a program intended program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below. o shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passenge A Click the icon to view the security time data. a. Calculate the sample mean and the sample standard deviation for this sample of passenger times. The sample mean is seconds. (Round to two decimal places as needed.) The sample standard deviation is seconds (Round to two decimal places as needed.) b. Assume that the distribution of time required to pass through security at this airport is normally distributed. Use the sample data to construct a 95% confidence interval estimate for the average time required to pass through securit The 95% confidence interval is seconds seconds. O Security Time Data (Round to two decimal places as needed.) c. What is the margin of error for the confidence interval constructed in part b? e= tseconds 369 222 148 164 (Round to two decimal places as needed.)

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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.