A government organization is examining the effectiveness of a program intended to shorten security lines at airports for "trusted travelers". For comparison purposes, a sample was obtained of the time in seconds it took passengers not on the program to pass through security at a certain international airport. The accompanying data contain the results. Complete parts a through c below, E 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 90% confidence interval estimate for the average time required to pass through security. The 90% confidence interval is seconds- seconds. (Round to two decimal places as needed.) O Security Time Data c. What is the margin of error for the confidence interval constructed in part b? e = + seconds (Round to two decimal places as needed.) 366 220 147 164 207 382 192 329 228 208 176 244 284 363 243 372 150 186 286 234 355 388 354 230 144 254 263 302 319 236 124 223 285 302 191 144 176 138 308 248 223 225 409 218 185 312 367 357 295 400 263 239 Enter your answer in each of the answer boxes. 193 309 311 243 292 37 427 373 215 211 329 241 151 241 229 229

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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.