1.a.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest. 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40 Identify the median. (Enter an exact number as an integer, fraction, or decimal.) b.The respiratory system can be a limiting factor in maximal exercise performance. Researchers studied the effect of two breathing frequencies on both performance times and several physiological parameters in swimming. Subjects were 10 male collegiate swimmers. Here are their times in seconds to swim 200 meters at 90% of race pace when breathing every second stroke in front crawl swimming. 151.8 165.9 159.8 164.1 174.8 173.8 177.8 174.7 164.5 172.2 Calculate the mean of the data. (Enter your answer to two decimal places.) ? seconds
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.
1.a.The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest.
Identify the
b.The respiratory system can be a limiting factor in maximal exercise performance. Researchers studied the effect of two breathing frequencies on both performance times and several physiological parameters in swimming. Subjects were 10 male collegiate swimmers. Here are their times in seconds to swim 200 meters at 90% of race pace when breathing every second stroke in front crawl swimming.
| 151.8 | 165.9 | 159.8 | 164.1 | 174.8 |
| 173.8 | 177.8 | 174.7 | 164.5 | 172.2 |
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