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7.3.1 A computer software package calculated some numerical summaries of a sample of data. The results are displayed here: SE Variable N Mean Mean StDev Variance Sum Sum of Squares X ? ? 2.05 10.25 ? 3761.70 ? a. Fill in the missing quantities. b. What is the estimate of the mean of the population from which this sample was drawn? 7.3.2 Suppose we have a random sample of size 2n from a popu- lation denoted by X, and E(X) = μ and V(X) = 6². Let 2n X₁ = 1ΣX and X₁ = ΣΧ 2n i=1 n ΣΧ n i=1 be two estimators of μ. Which is the better estimator of µ? Explain your choice. 7.3.3 SS Suppose that we have a random sample X1, X2, n = X from a population that is N(µ, σ²). We plan to use Σ(XX)²/c to estimate σ². Compute the bias in Ô as an esti- mator of o² as a function of the constant c. -

7.3.1 A computer software package calculated some numerical summaries of a sample of data. The results are displayed here: SE Variable N Mean Mean StDev Variance Sum Sum of Squares X ? ? 2.05 10.25 ? 3761.70 ? a. Fill in the missing quantities. b. What is the estimate of the mean of the population from which this sample was drawn? 7.3.2 Suppose we have a random sample of size 2n from a popu- lation denoted by X, and E(X) = μ and V(X) = 6². Let 2n X₁ = 1ΣX and X₁ = ΣΧ 2n i=1 n ΣΧ n i=1 be two estimators of μ. Which is the better estimator of µ? Explain your choice. 7.3.3 SS Suppose that we have a random sample X1, X2, n = X from a population that is N(µ, σ²). We plan to use Σ(XX)²/c to estimate σ². Compute the bias in Ô as an esti- mator of o² as a function of the constant c. -

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Answer questions 7.3.1, 7.3.2 and 7.3.3 respectively 

7.3.1 A computer software package calculated some numerical summaries of a sample of data. The results are displayed here: SE Variable N Mean Mean StDev Variance Sum Sum of Squares X ? ? 2.05 10.25 ? 3761.70 ? a. Fill in the missing quantities. b. What is the estimate of the mean of the population from which this sample was drawn? 7.3.2 Suppose we have a random sample of size 2n from a popu- lation denoted by X, and E(X) = μ and V(X) = 6². Let 2n X₁ = 1ΣX and X₁ = ΣΧ 2n i=1 n ΣΧ n i=1 be two estimators of μ. Which is the better estimator of µ? Explain your choice. 7.3.3 SS Suppose that we have a random sample X1, X2, n = X from a population that is N(µ, σ²). We plan to use Σ(XX)²/c to estimate σ². Compute the bias in Ô as an esti- mator of o² as a function of the constant c. -
Transcribed Image Text:7.3.1 A computer software package calculated some numerical summaries of a sample of data. The results are displayed here: SE Variable N Mean Mean StDev Variance Sum Sum of Squares X ? ? 2.05 10.25 ? 3761.70 ? a. Fill in the missing quantities. b. What is the estimate of the mean of the population from which this sample was drawn? 7.3.2 Suppose we have a random sample of size 2n from a popu- lation denoted by X, and E(X) = μ and V(X) = 6². Let 2n X₁ = 1ΣX and X₁ = ΣΧ 2n i=1 n ΣΧ n i=1 be two estimators of μ. Which is the better estimator of µ? Explain your choice. 7.3.3 SS Suppose that we have a random sample X1, X2, n = X from a population that is N(µ, σ²). We plan to use Σ(XX)²/c to estimate σ². Compute the bias in Ô as an esti- mator of o² as a function of the constant c. -
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