10. When eight persons in Massachusetts experienced an unexplained episode of vitamin D intoxication that required hospitalization, it was suggested that these unusual occurrences might be the result of excessive supplementation of dairy milk. Blood levels of calcium and albumin for each individual at the time of hospital admission are shown below. Calcium Albumin (mmol/l) (g/l) 2.99 40 3.79 41 3.17 36 2.48 41 3.25 46 3.47 42 2.39 39 3.21 40 (a) Construct a one-sided 95% confidence interval-a lower bound-for the true mean calcium level of individuals who experience vitamin D intoxication.
10. When eight persons in Massachusetts experienced an unexplained episode of vitamin D intoxication that required hospitalization, it was suggested that these unusual occurrences might be the result of excessive supplementation of dairy milk. Blood levels of calcium and albumin for each individual at the time of hospital admission are shown below. Calcium Albumin (mmol/l) (g/l) 2.99 40 3.79 41 3.17 36 2.48 41 3.25 46 3.47 42 2.39 39 3.21 40 (a) Construct a one-sided 95% confidence interval-a lower bound-for the true mean calcium level of individuals who experience vitamin D intoxication.
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Chapter1: Starting With Matlab
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![**Vitamin D Intoxication Case Study**
**Background:**
Eight individuals in Massachusetts experienced unexplained vitamin D intoxication, leading to hospitalization. It was hypothesized that excessive dairy milk supplementation might be the cause. Below are the blood levels of calcium and albumin for each individual at the time of hospital admission.
**Blood Levels:**
| Calcium (mmol/l) | Albumin (g/l) |
|------------------|---------------|
| 2.99 | 40 |
| 3.79 | 41 |
| 3.17 | 36 |
| 2.48 | 41 |
| 3.25 | 46 |
| 3.47 | 42 |
| 2.39 | 39 |
| 3.21 | 40 |
**Questions:**
(a) **Construct a One-Sided 95% Confidence Interval:**
- Find the lower bound for the true mean calcium level of individuals experiencing vitamin D intoxication.
(b) **Compute a 95% Lower Confidence Bound:**
- Determine the true mean albumin level for this group.
(c) **Comparison with Normal Ranges:**
- For healthy individuals, normal calcium values range from 2.12 to 2.74 mmol/l and normal albumin levels range from 32 to 55 g/l.
- Assess whether patients with vitamin D intoxication have normal blood levels of calcium and albumin.
**Analysis:**
Use the given blood levels to perform statistical analysis and compare with standard health ranges to assess the extent of deviation, if any, in these patients potentially due to vitamin D intoxication.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9841ac44-a520-4afe-bdc6-864c46e828ce%2Ff9600dde-15d4-40b6-9bbc-c4bc4538d6c7%2Fgg23xd4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Vitamin D Intoxication Case Study**
**Background:**
Eight individuals in Massachusetts experienced unexplained vitamin D intoxication, leading to hospitalization. It was hypothesized that excessive dairy milk supplementation might be the cause. Below are the blood levels of calcium and albumin for each individual at the time of hospital admission.
**Blood Levels:**
| Calcium (mmol/l) | Albumin (g/l) |
|------------------|---------------|
| 2.99 | 40 |
| 3.79 | 41 |
| 3.17 | 36 |
| 2.48 | 41 |
| 3.25 | 46 |
| 3.47 | 42 |
| 2.39 | 39 |
| 3.21 | 40 |
**Questions:**
(a) **Construct a One-Sided 95% Confidence Interval:**
- Find the lower bound for the true mean calcium level of individuals experiencing vitamin D intoxication.
(b) **Compute a 95% Lower Confidence Bound:**
- Determine the true mean albumin level for this group.
(c) **Comparison with Normal Ranges:**
- For healthy individuals, normal calcium values range from 2.12 to 2.74 mmol/l and normal albumin levels range from 32 to 55 g/l.
- Assess whether patients with vitamin D intoxication have normal blood levels of calcium and albumin.
**Analysis:**
Use the given blood levels to perform statistical analysis and compare with standard health ranges to assess the extent of deviation, if any, in these patients potentially due to vitamin D intoxication.
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