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Example 9.6: What are the standard errors of the sample mean X and the sample proportion p?

Example 9.6: What are the standard errors of the sample mean X and the sample proportion p?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Example 9.6

the MVUE in a wide variety of situations. The most important result of this type for our purposes concerns estimating the mean µ of a normal distribution. Theorem 9.2: Let X1, X2, ..., Xn be a random sample from a normal distribution with mean and standard deviation o. Then the estimator = X is the MVUE for u. anbied Reporting a Point Estimate - The Standard Error: Besides reporting the value of a point estimate, some indication of its precision should be given. The usual measure of precision is the standard error of the estimator. Definition: The standard error of an estimator is its standard deviation o If the standard error itself involves unknown parameters whose value can be estimated, we can obtain an estimated standard error, which is typically denoted by . Example 9.6: What are the standard errors of the sample mean X and the sample proportion p? and illustration foon oê √√² = √√Var (6). me sb and sno W notamite es to sony
Transcribed Image Text:the MVUE in a wide variety of situations. The most important result of this type for our purposes concerns estimating the mean µ of a normal distribution. Theorem 9.2: Let X1, X2, ..., Xn be a random sample from a normal distribution with mean and standard deviation o. Then the estimator = X is the MVUE for u. anbied Reporting a Point Estimate - The Standard Error: Besides reporting the value of a point estimate, some indication of its precision should be given. The usual measure of precision is the standard error of the estimator. Definition: The standard error of an estimator is its standard deviation o If the standard error itself involves unknown parameters whose value can be estimated, we can obtain an estimated standard error, which is typically denoted by . Example 9.6: What are the standard errors of the sample mean X and the sample proportion p? and illustration foon oê √√² = √√Var (6). me sb and sno W notamite es to sony
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