0.1 A Single Population Mean using the Normal Distribution Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds. 1. Identify the following: a. b. C. n = 2. In words, define the random variables X and X. 3. Which distribution should you use for this problem? 4. Construct a 95% confidenceinterval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph, and calculate the error bound. 5. What will happen to the confidence interval obtained, if 500 newborn elephants are weighed instead of 50? Why? Use the following information to answer the next seven exercises: The U.S. Census Bureau conducts a study to determ the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. 6. Identify the following: a. b. C. n= 7. In words, define the random variables X and X.
0.1 A Single Population Mean using the Normal Distribution Use the following information to answer the next five exercises: The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds. 1. Identify the following: a. b. C. n = 2. In words, define the random variables X and X. 3. Which distribution should you use for this problem? 4. Construct a 95% confidenceinterval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph, and calculate the error bound. 5. What will happen to the confidence interval obtained, if 500 newborn elephants are weighed instead of 50? Why? Use the following information to answer the next seven exercises: The U.S. Census Bureau conducts a study to determ the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There known standard deviation of 2.2 minutes. The population distribution is assumed to be normal. 6. Identify the following: a. b. C. n= 7. In words, define the random variables X and X.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:PRACTICE
8.1 A Single Population Mean using the Normal Distribution
Ose the following information to answer the next five exercises: The standard deviation of the weights of elephants is known
to be approximately 15 pounds. We wish to construct a 95% confidence interval for the mean weight of newborn elephant
calves. Fifty newborn elephants are weighed. The sample mean is 244 pounds. The sample standard deviation is 11 pounds.
1. Identify the following:
a.
b.
C.
n =
2. In words, define the random variables X and X
3. Which distribution should you use for this problem?
4. Construct a 95% confidence interval for the population mean weight of newborn elephants. State the confidence interval,
sketch the graph, and calculate the error bound.
5. What will happen to the confidence interval obtained, if 500 newborn elephants are weighed instead of 50? Why?
Use the following information to answer the next seven exercises: The U.S. Census Bureau conducts a study to determ
the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There
known standard deviation of 2.2 minutes. The population distribution is assumed to be normal.
6. Identify the following:
a.
=
b.
C. n=
7. In words, define the random variables X and X.
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