Even though the actual concentration of sodium in the drinking water is within the limit, there is a department will erroneously advise its customers of an above-limit concentration of sodium. probability that the water Suppose that the water department wants to reduce its risk of erroneously notifying its customers that the sodium concentration is above the limit. Assuming the water department 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 notifying its customers that the sodium concentration is above the limit when it actually is not? O It can collect fewer specimens over the course of the year. O No, there is nothing it can do. O It can collect more specimens over the course of the year.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question

PLEASE ANSWER the questions correlty and please answer all the questions with what it regards in saying exactly, please and thank you take your time. Ive read the guide lines and honor code that i can have up to Submit only one question at a time under the appropriate subject. A question can have up to 3 subparts (i.e. part a, b, and c). If you dont belive me here is the link of barthleby saying exactly that thanks: https://bartleby.zendesk.com/hc/en-us/articles/360017462394-How-can-I-ensure-my-questions-get-answered-as-quickly-as-possible-

6. 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 US 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 mg/L, and the standard deviation is 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 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
Mean = 19.5
Standard Deviation = 0.85
O
T
10.0
-11.0
12.0
-9.0
14.0
-7.0
-5.0
16.0
-3.0
.5000
18.0
-1.0
.5000
T
20.0
19.50
0.0000
1.0
22.0
3.0
24.0
5.0
M
Z
Transcribed Image Text:6. 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 US 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 mg/L, and the standard deviation is 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 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 Mean = 19.5 Standard Deviation = 0.85 O T 10.0 -11.0 12.0 -9.0 14.0 -7.0 -5.0 16.0 -3.0 .5000 18.0 -1.0 .5000 T 20.0 19.50 0.0000 1.0 22.0 3.0 24.0 5.0 M Z
Even though the actual concentration of sodium in the drinking water is within the limit, there is a
department will erroneously advise its customers of an above-limit concentration of sodium.
probability that the water
Suppose that the water department wants to reduce its risk of erroneously notifying its customers that the sodium concentration is above the
limit. Assuming the water department 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 notifying its customers that the sodium concentration is above the limit when it actually is
not?
O It can collect fewer specimens over the course of the year.
O No, there is nothing it can do.
O It can collect more specimens over the course of the year.
Transcribed Image Text:Even though the actual concentration of sodium in the drinking water is within the limit, there is a department will erroneously advise its customers of an above-limit concentration of sodium. probability that the water Suppose that the water department wants to reduce its risk of erroneously notifying its customers that the sodium concentration is above the limit. Assuming the water department 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 notifying its customers that the sodium concentration is above the limit when it actually is not? O It can collect fewer specimens over the course of the year. O No, there is nothing it can do. O It can collect more specimens over the course of the year.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill