4. Suppose the number of patients seen in Nash General's Emergency Room each day varies normally with mean . Suppose you select a sample of 30 days and find the average number of patients seen in the ER on those days to be 32 with a sample standard deviation of 5. Give a 90% confidence interval for the mean number of patients μ seen per day. b. State the margin of error for the 90% confidence interval you found in part a. a.

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**Problem Statement:**

4. Suppose the number of patients seen in Nash General's Emergency Room each day varies normally with mean \( \mu \). Suppose you select a sample of 30 days and find the average number of patients seen in the ER on those days to be 32 with a sample standard deviation of 5.

   a. Give a 90% confidence interval for the mean number of patients \( \mu \) seen per day.

   b. State the margin of error for the 90% confidence interval you found in part a.

**Guidance:**

To solve this problem, apply statistical methods for estimating a confidence interval for the mean with a known sample size (n = 30). Use the sample mean (\(\bar{x} = 32\)) and sample standard deviation (s = 5) to calculate the confidence interval and margin of error using appropriate statistical formulas and tables.
Transcribed Image Text:**Problem Statement:** 4. Suppose the number of patients seen in Nash General's Emergency Room each day varies normally with mean \( \mu \). Suppose you select a sample of 30 days and find the average number of patients seen in the ER on those days to be 32 with a sample standard deviation of 5. a. Give a 90% confidence interval for the mean number of patients \( \mu \) seen per day. b. State the margin of error for the 90% confidence interval you found in part a. **Guidance:** To solve this problem, apply statistical methods for estimating a confidence interval for the mean with a known sample size (n = 30). Use the sample mean (\(\bar{x} = 32\)) and sample standard deviation (s = 5) to calculate the confidence interval and margin of error using appropriate statistical formulas and tables.
Expert Solution
Step 1: Given information.

The number of patients in the emergency room each day varies normally with mean mu.

The sample size is n equals 30.

The sample mean is x with bar on top equals 32.

The sample standard deviation is s equals 5.

The confidence level is C L equals 0.90.

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