Mathematics
Mathematics, 05.05.2020 20:45, alyviariggins

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 (miligrams 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 mg/L, and the standard deviation is 6 mg/L. Imagine that the water department selects a 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. Even though the actual concentration of sodium in the drinking water is within the limit, there is a probability that the v/ater department will erroneously advise its customers of an above-limit concentration of sodium. Suppose that the v/ater 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 v/ater department can't control the use of road salt and cant change the mean or the standard deviation of the sodium concentration in the drinking v/ater, is there anything the department can do to reduce the risk of an erroneous notification to l%? a) It can increase its sample size to n = 49. b) It can increase its sample size to n = middot 18. c) It can increase its sample size to n = 33. d) No, there is nothing it can do.

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