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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let X1,X2,X3,and X4 be a random sample of observations from a population with mean μ and variance σ2.Consider the following two point estimators of μ: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X<sub>1</sub>,X<sub>2</sub>,X<sub>3</sub>,and X<sub>4</sub> be a random sample of observations from a population with mean μ and variance σ<sup>2</sup>.Consider the following two point estimators of μ: <sub>1</sub> = 0.10 X<sub>1</sub> + 0.20 X<sub>2</sub> + 0.40 X<sub>3</sub> + 0.30 X<sub>4</sub>,and <sub>2</sub> = 0.25 X<sub>1</sub> + 0.25 X<sub>2</sub> + 0.30 X<sub>3</sub> + 0.20 X<sub>4</sub> -Raising in-state and out-of-state tuition is supposed to reduce the number of students in state supported universities.The registrar of a university wants to estimate the proportion P of students who are paying for out-of-state tuition on the installment plan (to later be compared with in-state installment plan payers).A random sample of 80 students who live out-of-state is taken and 50 of them pay tuition on the installment plan.Find a 99-percent confidence interval for P,based on these data.
1 = 0.10 X1 + 0.20 X2 + 0.40 X3 + 0.30 X4,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let X<sub>1</sub>,X<sub>2</sub>,X<sub>3</sub>,and X<sub>4</sub> be a random sample of observations from a population with mean μ and variance σ<sup>2</sup>.Consider the following two point estimators of μ: <sub>1</sub> = 0.10 X<sub>1</sub> + 0.20 X<sub>2</sub> + 0.40 X<sub>3</sub> + 0.30 X<sub>4</sub>,and <sub>2</sub> = 0.25 X<sub>1</sub> + 0.25 X<sub>2</sub> + 0.30 X<sub>3</sub> + 0.20 X<sub>4</sub> -Raising in-state and out-of-state tuition is supposed to reduce the number of students in state supported universities.The registrar of a university wants to estimate the proportion P of students who are paying for out-of-state tuition on the installment plan (to later be compared with in-state installment plan payers).A random sample of 80 students who live out-of-state is taken and 50 of them pay tuition on the installment plan.Find a 99-percent confidence interval for P,based on these data.
2 = 0.25 X1 + 0.25 X2 + 0.30 X3 + 0.20 X4
-Raising in-state and out-of-state tuition is supposed to reduce the number of students in state supported universities.The registrar of a university wants to estimate the proportion P of students who are paying for out-of-state tuition on the installment plan (to later be compared with in-state installment plan payers).A random sample of 80 students who live out-of-state is taken and 50 of them pay tuition on the installment plan.Find a 99-percent confidence interval for P,based on these data.

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± z.005

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= .625 ± 2...

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