Aa Aa 7. An application of the distribution of sample means People suffering fro

Question

Aa Aa 7. An application of the distribution of sample means People suffering from hypertension, heart disease, or kidney problems may need to limit their intakes of sodium. The public health departments in some U.S. states and Canadian provinces require community water systems to notify their customers if the sodium concentration in the drinking water exceeds a designated limit. In Massachusetts, for example, the notification level is 20 mg/L (milligrams per liter). Suppose that over the course of a particular year the mean concentration of sodium in the drinking water of a water system in Massachusetts is 18.6 mg/L, and the standard deviation is 6 mg/L Imagine that the water department selects a simple random sample of 31 water specimens over the course of this year. Each specimen is sent to a lab for testing, and at the end of the year the water department computes the mean concentration across the 31 specimens. If the mean exceeds 20 mg/L, the water department notifies the public and recommends that people who are on sodium-restricted diets inform their physicians of the sodium content in their drinking water. Use the Distributions tool to answer the following question. (Hint: Start by setting the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations) Normal Distribution Means 19.5 Standard Deviation0.85 10 12 14 16 18 20 24 water is within the limit, there is a Even though the actual concentration of sodium in the drinking that the water department will erroneously advise its customers of an above-limit concentration of sodium

Explanation / Answer

Aa Aa 7. An application of the distribution of sample means People suffering from hypertension, heart disease, or kidney problems may need to limit their intakes of sodium. The public health departments in some U.S. states and Canadian provinces require community water systems to notify their customers if the sodium concentration in the drinking water exceeds a designated limit. In Massachusetts, for example, the notification level is 20 mg/L (milligrams per liter). Suppose that over the course of a particular year the mean concentration of sodium in the drinking water of a water system in Massachusetts is 18.6 mg/L, and the standard deviation is 6 mg/L Imagine that the water department selects a simple random sample of 31 water specimens over the course of this year. Each specimen is sent to a lab for testing, and at the end of the year the water department computes the mean concentration across the 31 specimens. If the mean exceeds 20 mg/L, the water department notifies the public and recommends that people who are on sodium-restricted diets inform their physicians of the sodium content in their drinking water. Use the Distributions tool to answer the following question. (Hint: Start by setting the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations) Normal Distribution Means 19.5 Standard Deviation0.85 10 12 14 16 18 20 24 water is within the limit, there is a Even though the actual concentration of sodium in the drinking that the water department will erroneously advise its customers of an above-limit concentration of sodium

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.