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Magazine Chapter 8: Q.9.119 (page 390)
Cardiovascular Hospitalizations. From the Florida State Center for Health Statistics report, Women and Candio vascular Disease Hospitalizations, we found that, for cardiovascular hospitalizations, the mean age of women is 71.9 years. At one hospital, a random sample of 20 of its female cardiovascular patients had the following ages, in years.
ages in years
| 75.9 | 83.7 | 87.3 | 74.5 | 82.5 |
| 78.2 | 76.1 | 52.8 | 56.4 | 53.8 |
| 88.2 | 78.9 | 81.7 | 54.4 | 52.7 |
| 58.9 | 97.6 | 65.8 | 86.4 | 72.4 |
Short Answer
The variable under consideration follows approximately normal distribution since the probability plot is (very) roughly linear. Hence, we can reasonably use t-interval procedure on the given data.
Step by step solution
Given Information
We can get a probability plot, a box plot, a histogram, and a stem-and-leaf plot of the data using Minitab.
Expression,
Stem-and-leaf plot;
Leaf Unit =1.0
Stem Leaf
| 4 | 5 | 2234 |
| 6 | 5 | 68 |
| 6 | 6 | |
| 7 | 6 | 5 |
| 9 | 7 | 24 |
| (4) | 7 | 5688 |
| 7 | 8 | 123 |
| 4 | 8 | 678 |
| 1 | 9 | |
| 1 | 9 | 7 |
Explanation
The sample size of n=20 is considered reasonable. We can see that there are no outliers in the data from the graphical depiction. Because the probability plot is (very) substantially linear, the variable under discussion has a roughly normal distribution. As a result, we may safely apply the t-interval technique to the data.
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