9 4 People suffering from hypertension, heart disease, or kidney problems may need to limit their intakes of sodium. The public health departments insome U.S. states and Canadian provinces require community water systems to notify their customers if the sodium concentration in the drinking waterexceeds 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 concentration of sodium in the drinking water of a water system in Massachusetts is notextremely nonnormal, with a mean of 18 mg/L and a standard deviation of 6 mg/L.Imagine that the water department selects a simple random sample of 32 water specimens over the course of this year. Each specimen is sent to a labfor testing, and at the end of the year the water department computes the mean concentration across the 32 specimens. If the mean exceeds 20mg/L, the water department notifies the public and recommends that people who are on sodium-restricted diets inform their physicians of the sodiumcontent in their drinking water.Use the Distributions tool to answer the following questions, adjusting the parameters as necessary.Normal DistributionMean = 19.5Standard Deviation = 0.851012141618202224Even though the actual concentration of sodium in the drinking water is within the limit, there is av probability that the water departmentwill erroneously advise its customers of an above-limit concentration of sodium. Normal DistributionMean = 19.5Standard Deviation = 0.85O O1012141618202224Even though the actual concentration of sodium in the drinking water is within the limit, there is aprobability that the water departmentwill erroneously advise its customers of an above-limit concentration of sodium.Suppose that the water department is willing to accept (at most) a 1% risk of erroneously notifying its customers that the sodium concentration isabove the limit. A primary cause of sodium in the water supply is the salt that is applied to roadways during the winter to melt snow and ice. If thewater department can't control the use of road salt and can't change the mean or the standard deviation of the sodium concentration in the drinkingwater, is there anything the department can do to reduce the risk of an erroneous notification to 1%?O It can increase its sample size to n = 48.O It can increase its sample size to n = 49.O No, there is nothing it can do.O It can increase its sample size to n = 33.

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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 concentration of sodium in the drinking water of a water system in Massachusetts is not extremely nonnormal, with a mean of 18 mg/L and a standard deviation of 6 mg/L. Imagine that the water department selects a simple random sample of 32 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 32 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.

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 concentration of sodium in the drinking water of a water system in Massachusetts is not extremely nonnormal, with a mean of 18 mg/L and a standard deviation of 6 mg/L. Imagine that the water department selects a simple random sample of 32 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 32 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

9 4

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 concentration of sodium in the drinking water of a water system in Massachusetts is not
extremely nonnormal, with a mean of 18 mg/L and a standard deviation of 6 mg/L.
Imagine that the water department selects a simple random sample of 32 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 32 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 questions, adjusting the parameters as necessary.
Normal Distribution
Mean = 19.5
Standard Deviation = 0.85
10
12
14
16
18
20
22
24
Even though the actual concentration of sodium in the drinking water is within the limit, there is a
v probability that the water department
will erroneously advise its customers of an above-limit concentration of sodium.

Normal Distribution
Mean = 19.5
Standard Deviation = 0.85
O O
10
12
14
16
18
20
22
24
Even though the actual concentration of sodium in the drinking water is within the limit, there is a
probability that the water department
will erroneously advise its customers of an above-limit concentration of sodium.
Suppose that the water department is willing to accept (at most) a 1% risk of erroneously notifying its customers that the sodium concentration is
above the limit. A primary cause of sodium in the water supply is the salt that is applied to roadways during the winter to melt snow and ice. If the
water department can't control the use of road salt and can't change the mean or the standard deviation of the sodium concentration in the drinking
water, is there anything the department can do to reduce the risk of an erroneous notification to 1%?
O It can increase its sample size to n = 48.
O It can increase its sample size to n = 49.
O No, there is nothing it can do.
O It can increase its sample size to n = 33.

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