Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution. 9.5 9.4 10.7 8.7 9.4 9.8 10.0 9.9 11.2 12.1 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (Round your answers to two decimal places.) X = mg/dl S = mg/dl (b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.) lower limit mg/dl upper limit mg/dl
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution. 9.5 9.4 10.7 8.7 9.4 9.8 10.0 9.9 11.2 12.1 (a) Use a calculator with mean and sample standard deviation keys to find the sample mean reading x and the sample standard deviation s. (Round your answers to two decimal places.) X = mg/dl S = mg/dl (b) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answer to two decimal places.) lower limit mg/dl upper limit mg/dl
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![### Statistical Analysis of Calcium Levels in a Patient Treated for Tetany
---
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.
```
9.5, 9.4, 10.7, 8.7, 9.4, 9.8, 10.0, 9.9, 11.2, 12.1
```
---
**(a) Calculation of Sample Mean and Sample Standard Deviation**
Use a calculator with mean and sample standard deviation keys to find the sample mean reading \( \bar{x} \) and the sample standard deviation \( s \). (Round your answers to two decimal places.)
\[ \bar{x} = \hspace{4cm} \text{mg/dl} \]
\[ s = \hspace{4cm} \text{mg/dl} \]
---
**(b) Finding the 99.9% Confidence Interval**
Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answers to two decimal places.)
- Lower limit: \hspace{2.5cm}mg/dl
- Upper limit: \hspace{2.5cm}mg/dl
---
This exercise demonstrates calculations that are commonly performed in health sciences and related fields. It is important to understand the statistical analysis used to interpret clinical data accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80d12b27-2476-49ce-98fb-3e23c71be9c7%2F0bcd7282-f344-48bb-86e3-b4c7c13b1893%2Fo6rujbl.png&w=3840&q=75)
Transcribed Image Text:### Statistical Analysis of Calcium Levels in a Patient Treated for Tetany
---
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution.
```
9.5, 9.4, 10.7, 8.7, 9.4, 9.8, 10.0, 9.9, 11.2, 12.1
```
---
**(a) Calculation of Sample Mean and Sample Standard Deviation**
Use a calculator with mean and sample standard deviation keys to find the sample mean reading \( \bar{x} \) and the sample standard deviation \( s \). (Round your answers to two decimal places.)
\[ \bar{x} = \hspace{4cm} \text{mg/dl} \]
\[ s = \hspace{4cm} \text{mg/dl} \]
---
**(b) Finding the 99.9% Confidence Interval**
Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (Round your answers to two decimal places.)
- Lower limit: \hspace{2.5cm}mg/dl
- Upper limit: \hspace{2.5cm}mg/dl
---
This exercise demonstrates calculations that are commonly performed in health sciences and related fields. It is important to understand the statistical analysis used to interpret clinical data accurately.
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