4) Would you feel confident claiming that the exercise class changes SPIRO, with 95% confidence
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.
I have a question: Here is the information about student's SPIRO during an exercise class: The question at the bottom refers to a Population mean. Hopefully this is all the info. I really just need the answer at the bottom but here is all the info. :)
| SPIRO (Start) | SPIRO (End) |
| 2200 | 3000 |
| 3000 | 3000 |
| 2200 | 2200 |
| 2300 | 2500 |
| 1500 | 2000 |
| 2900 | 4050 |
| 3050 | 4300 |
| 4200 | 4100 |
| 2400 | 2400 |
| 3500 | 4000 |
| 2500 | 3000 |
| 3300 | 4000 |
| 2000 | 2800 |
| 2000 | 3000 |
| 2000 | 3000 |
| 2100 | 3150 |
| 2850 | 3900 |
| 2700 | 2500 |
| 2700 | 2500 |
| 2500 | 2500 |
| 2500 | 2500 |
| 2366 | 2400 |
| 2400 | 2600 |
| 2000 | 3050 |
| 2300 | 3850 |
| 3500 | 3500 |
| 2100 | 2100 |
| 2100 | 2100 |
| 3300 | 3500 |
| 2700 | 3200 |
| 3100 | 4000 |
| 3000 | 4000 |
| 4500 | 5900 |
| 2000 | 3500 |
| 4300 | 6100 |
| 3700 | 5700 |
| 3100 | 3000 |
| 2200 | 2200 |
| 3200 | 3200 |
| 3700 | 4100 |
| 2050 | 3900 |
| 2000 | 2300 |
| 4200 | 4500 |
| 3650 | 3100 |
| 2500 | 3000 |
| 2700 | 2500 |
| 4100 | 4100 |
| 2000 | 3100 |
| 2500 | 4200 |
| 2500 | 4200 |
| 2600 | 2000 |
| 2600 | 2300 |
| 4000 | 4300 |
| 3000 | 4200 |
| 3000 | 4200 |
| 2500 | 3100 |
| 3200 | 3900 |
| 3200 | 3900 |
| 2100 | 3100 |
| 2350 | 3500 |
| 1600 | 3250 |
| 2600 | 4500 |
| 2300 | 2600 |
| 2000 | 2500 |
| 5300 | 7000 |
| 2550 | 2200 |
| 2500 | 2500 |
| 2500 | 3000 |
| 1800 | 2800 |
| 4450 | 5700 |
| 2900 | 3200 |
| 2300 | 3100 |
| 3000 | 2500 |
| 4200 | 4000 |
| 2500 | 3100 |
| 3400 | 3600 |
| 3300 | 4400 |
| 2200 | 4000 |
| 4000 | 4200 |
| 2000 | 2200 |
| 2300 | 4300 |
| 2000 | 2600 |
| 5000 | 5500 |
| 4100 | 3300 |
| 3600 | 3300 |
| 2500 | 2700 |
| 4700 | 3800 |
| 900 | 1200 |
| 2400 | 2500 |
| 1900 | 3000 |
| 1350 | 3500 |
| 3200 | 4200 |
| 3516 | 3360 |
| 2100 | 3200 |
| 2200 | 3400 |
| 3900 | 3900 |
| 1800 | 3500 |
| Column1 | |
| Mean | 596.1649 |
| Standard Error | 71.74566 |
| Median | 500 |
| 0 | |
| Standard Deviation | 706.6129 |
| Sample Variance | 499301.7 |
| Kurtosis | -0.68118 |
| Skewness | 0.264388 |
| Range | 3050 |
| Minimum | -900 |
| Maximum | 2150 |
| Sum | 57828 |
| Count | 97 |
| Confidence Level(95.0%) | 142.414 |
| Confidence interval for mean | |||
| change in SPIRO. | |||
| Margin of error | 142.414 | ||
| Mean | 596.1649 | ||
| Lower bound | 453.7509 | ||
| Upper bound | 738.579 | ||
4) Would you feel confident claiming that the exercise class changes SPIRO, with 95% confidence? Explain
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