The average salary of a registered nurse in a certain state is 73 thousand with a standard deviation of 14.2 thousand. A andom sample of 41 registered nurses is selected. A. Based on the information provided, what can you conclude about the distribution of salaries of registered nurses? Skewed left. Approximately normal. Skewed right. Unknown. B. What can you conclude about the distribution of the mean salary of 41 registered nurses? Unknown. Approximately normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average salary of a registered nurse in a certain state is 73 thousand with a standard deviation of 14.2 thousand. A
random sample of 41 registered nurses is selected.
A. Based on the information provided, what can you conclude about the distribution of salaries of registered
nurses?
Skewed left.
Approximately normal.
Skewed right.
Unknown.
B. What can you conclude about the distribution of the mean salary of 41 registered nurses?
Unknown.
Approximately normal.
Skewed left.
Skewed right.
Transcribed Image Text:The average salary of a registered nurse in a certain state is 73 thousand with a standard deviation of 14.2 thousand. A random sample of 41 registered nurses is selected. A. Based on the information provided, what can you conclude about the distribution of salaries of registered nurses? Skewed left. Approximately normal. Skewed right. Unknown. B. What can you conclude about the distribution of the mean salary of 41 registered nurses? Unknown. Approximately normal. Skewed left. Skewed right.
C. What are the mean and standard deviation of the mean salary of 41 randomly selected registered nurses?
Mean =
Standard Deviation (standard error of the mean)
=
thousand Round standard error to 5 decimal places.
D. What is the probability that the average salary of a random sample of 41 registered nurses is at least 75.4
thousand?
thousand
Answer:
Round to 4 decimal places.
E. What is the probability that the average salary of a random sample of 41 registered nurses is no more than
74.5 thousand?
Answer:
Round to 4 decimal places.
Transcribed Image Text:C. What are the mean and standard deviation of the mean salary of 41 randomly selected registered nurses? Mean = Standard Deviation (standard error of the mean) = thousand Round standard error to 5 decimal places. D. What is the probability that the average salary of a random sample of 41 registered nurses is at least 75.4 thousand? thousand Answer: Round to 4 decimal places. E. What is the probability that the average salary of a random sample of 41 registered nurses is no more than 74.5 thousand? Answer: Round to 4 decimal places.
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