A local Doctors Office recorded the wait times for 70 patients on a Saturday afternoon and organized the times in the histogram below. 24 22 20 18 16 14 12 10 8 Number of Patients
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.
![A local doctor's office recorded the wait times for 70 patients on a Saturday afternoon and organized the times in the histogram shown below.
### Histogram Explanation
The histogram displays the distribution of patient wait times categorized into intervals:
- **0–5 minutes:** 4 patients
- **5–10 minutes:** 10 patients
- **10–15 minutes:** 8 patients
- **15–20 minutes:** 8 patients
- **20–25 minutes:** 20 patients
- **25–30 minutes:** 20 patients
The x-axis represents the wait time in minutes, while the y-axis represents the number of patients.
### Questions
*Include 3 decimal places in your final answer.*
a. What percent of people waited more than 15 minutes?
[___________] %
b. What percent of people waited less than 20 minutes?
[___________] %
c. What percent of people waited less than 5 minutes given they waited less than 20 minutes?
[___________] %](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14a4e0ae-41e1-44a6-b924-44f49d1af8ee%2Fc521433e-2181-492f-b3d5-eb824af623d4%2Fuud253_processed.jpeg&w=3840&q=75)
Given that,
| Waiting time | Number of patients |
| 0-5 | 5 |
| 5--10 | 10 |
| 10--15 | 8 |
| 15--20 | 13 |
| 20--25 | 22 |
| 25--30 | 12 |
| 70 |
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