he mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 203 flights per hour. 212 198 187 214 185 219 198 193 208 197 206 184 223 177 196 207 214 209 180 210 203 198 190 211 179 220 215 217 222 218 Click here for the Excel Data File (a) Set up a right-tailed decision rule at α = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis. H1: μ > 195, reject H1 if z < 1.960 H1: μ < 195, reject H1 if z > 1.960 H0: μ ≥ 195, reject H0 if z < 1.960 H0: μ ≤ 195, reject H0 if z > 1.960 multiple choice 2 a b c d (b-1) Calculate the test statistic. (Round your answer to 2 decimal places.) Test statistic
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.
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 203 flights per hour.
| 212 | 198 | 187 | 214 | 185 | 219 | 198 | 193 | 208 | 197 |
| 206 | 184 | 223 | 177 | 196 | 207 | 214 | 209 | 180 | 210 |
| 203 | 198 | 190 | 211 | 179 | 220 | 215 | 217 | 222 | 218 |
Click here for the Excel Data File
(a) Set up a right-tailed decision rule at α = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour. Choose the appropriate hypothesis.
- H1: μ > 195, reject H1 if z < 1.960
- H1: μ < 195, reject H1 if z > 1.960
- H0: μ ≥ 195, reject H0 if z < 1.960
- H0: μ ≤ 195, reject H0 if z > 1.960
multiple choice 2
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(b-1) Calculate the test statistic. (Round your answer to 2 decimal places.)
Test statistic
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