Data table for weights, in pounds, of 17 a therapy treatment for anorexia nervos Before After Before 89.3 100.3 89.5 89.5 95.0 93.4 79.6 89.0 95.9 83.2 96.8 96.1 96.2 93.3 81.7 81 2 01 9 833
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.

![### Confidence Interval Analysis for Weight Gain after Therapy Treatment for Anorexia Nervosa
**Objective:**
Obtain the required confidence interval and interpret the result.
**Dataset Overview:**
The accompanying data provide the weights, in pounds, of 17 anorexic women before and after receiving a therapy treatment for anorexia nervosa. Your task is to find a 90% confidence interval for the weight gain that would be obtained, on average, by using the family therapy treatment.
**Instructions:**
1. **Access the Data:**
- Click the icon provided to view the data for analysis.
2. **Determine the Confidence Interval:**
- Use the 'Before' and 'After' weight data to calculate the 90% confidence interval.
- Formula: Confidence Interval = \( \text{mean} \pm ( z \times \frac{\text{standard deviation}}{\sqrt{n}}) \)
- Here, the difference will be calculated as Before – After.
3. **Calculate the Weight Difference:**
- Note down the differences in weight for each of the 17 women before and after the therapy.
4. **Find the 90% Confidence Interval:**
- Enter your calculated confidence interval in the provided spaces [ \( \_ \_ \) , \( \_ \_ \) ] pounds.
- Ensure to round this to two decimal places as needed.
**Output Example:**
- Insert your lower confidence limit in the left box and the upper confidence limit in the right box.
### Graphs and Diagrams:
There are no graphs or diagrams associated with this content. However, detailed steps to calculate the confidence interval should be followed as specified to arrive at the accurate results.
### Summary:
Understanding confidence intervals and their interpretation is vital in assessing the effectiveness of treatments and interventions. Through this exercise, the calculated confidence interval will give an estimate of the average weight gain that can be expected from the therapy treatment, within a 90% certainty level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76b39ad3-98e6-4bd8-afd7-9890d91d962f%2F9d6b1a59-d43c-4930-bc7f-70fa80d1679e%2Fq38d7z_processed.png&w=3840&q=75)

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