You're a healthcare analytics professional working for Pawhuska, Oklahoma's fourth-largest hospital. You're examining the amount of waiting time that patients classified as ES5 (those with ailments that are not life-threatening) spend in the emergency room. You'll make some changes to emergency room procedures if you find that the mean ES5 waiting time is longer than 18 minutes, the industry standard. Based on a sample of 22 ES5 patients, you found an average and standard deviation of waiting times to be 19.2 minutes and 2.4 minutes, respectively. Draw basic conclusions with the CRITICAL VALUE APPROACH with 99% confidence. Р What is the probability that you conclude that no changes in the emergency room are needed when the actual waiting time for ES5 patients is 20 minutes?

MATLAB: An Introduction with Applications
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**Emergency Room Waiting Time Analysis**

As a healthcare analytics professional at Pawhuska, Oklahoma's fourth-largest hospital, your role involves evaluating the waiting times for patients classified as ES5. These patients present with non-life-threatening conditions in the emergency room. The goal is to determine if the average ES5 patient wait time exceeds the industry standard of 18 minutes.

**Data Summary:**
- **Sample Size:** 22 ES5 patients
- **Average Waiting Time:** 19.2 minutes
- **Standard Deviation:** 2.4 minutes

**Objective:**
- Use the Critical Value Approach with 99% confidence to assess if the mean waiting time is significantly longer than the industry standard.

**Hypothesis Testing:**
1. **Null Hypothesis (H0):** The mean waiting time is 18 minutes.
2. **Alternative Hypothesis (H1):** The mean waiting time is greater than 18 minutes.

**Critical Value Approach:**
Determine the critical value corresponding to a 99% confidence level and apply it to the sample data to draw conclusions about the mean waiting time.

**Additional Analysis:**
Evaluate the probability that no procedural changes are necessary, assuming the actual mean wait time is 20 minutes. This assesses whether current wait times are acceptable or if improvements are needed.
Transcribed Image Text:**Emergency Room Waiting Time Analysis** As a healthcare analytics professional at Pawhuska, Oklahoma's fourth-largest hospital, your role involves evaluating the waiting times for patients classified as ES5. These patients present with non-life-threatening conditions in the emergency room. The goal is to determine if the average ES5 patient wait time exceeds the industry standard of 18 minutes. **Data Summary:** - **Sample Size:** 22 ES5 patients - **Average Waiting Time:** 19.2 minutes - **Standard Deviation:** 2.4 minutes **Objective:** - Use the Critical Value Approach with 99% confidence to assess if the mean waiting time is significantly longer than the industry standard. **Hypothesis Testing:** 1. **Null Hypothesis (H0):** The mean waiting time is 18 minutes. 2. **Alternative Hypothesis (H1):** The mean waiting time is greater than 18 minutes. **Critical Value Approach:** Determine the critical value corresponding to a 99% confidence level and apply it to the sample data to draw conclusions about the mean waiting time. **Additional Analysis:** Evaluate the probability that no procedural changes are necessary, assuming the actual mean wait time is 20 minutes. This assesses whether current wait times are acceptable or if improvements are needed.
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