Question

Suppose that a measurement has mean µ and variance σ^2 = 25. Let X be the...

Suppose that a measurement has mean µ and variance σ^2 = 25. Let X be the average of n such independent measurements. How large should n be so that P |X − µ| < 1 = 0.95?

Homework Answers

Answer #1

Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a measurement has mean µ and variance σ^2 = 25. Let X be the average...
Consider a measurement has mean µ and variance σ^2 = 25. Let X be the average of n such independent measurements. How large should n be so that P |X − µ| < 1 = 0.95
Let X ∼ N (µ, σ^2). Prove that P (|X − µ| > kσ) does not...
Let X ∼ N (µ, σ^2). Prove that P (|X − µ| > kσ) does not depend on µ or σ. Please write your answer as clearly as you can, appreciate it!
Suppose that we use x to estimate the mean of x, when E[x] = µ, Var[x]...
Suppose that we use x to estimate the mean of x, when E[x] = µ, Var[x] = σ 2 . Further suppose that both µ and σ 2 have finite values. As the sample size n gets larger, the variance of x gets closer to _______ ?
Suppose the following hypotheses: H0: µ = 2 vs Ha: µ ≠ 2, and σ =...
Suppose the following hypotheses: H0: µ = 2 vs Ha: µ ≠ 2, and σ = 20, sample mean = 12, and use alpha = 0.05 a.     If n = 10 what is p-value? b.     If n = 15, what is p-value? c.     If n = 20 what is p-value? d.     Summarize your findings from above. Please show your work and thank you SO much in advance! You are helping a struggling stats student SO much!
2. Let X be a Normal random variable with µ = 11 and σ 2 =...
2. Let X be a Normal random variable with µ = 11 and σ 2 = 49. You may refer to the tables at the end of our textbook. (a) Calculate P(X2 > 100). (b) Calculate the hazard rate function at 18, λ(18) and at 25, λ(25).
Let X be a random variable with mean μ and variance σ^2. Define Y=(X-μ)/σ. What is...
Let X be a random variable with mean μ and variance σ^2. Define Y=(X-μ)/σ. What is the variance of Y?
Let X1, X2 be two normal random variables each with population mean µ and population variance...
Let X1, X2 be two normal random variables each with population mean µ and population variance σ2. Let σ12 denote the covariance between X1 and X2 and let ¯ X denote the sample mean of X1 and X2. (a) List the condition that needs to be satisfied in order for ¯ X to be an unbiased estimate of µ. (b) [3] As carefully as you can, without skipping steps, show that both X1 and ¯ X are unbiased estimators of...
Let X be normally distributed with mean µ = 250 and standard deviation σ = 80....
Let X be normally distributed with mean µ = 250 and standard deviation σ = 80. Find the value x such that P(X ≤ x) = 0.9332. a. 120 b. 1.50 c. 374 d. 370
Suppose X1 is from a population with mean µ and variance 1 and X2 is from...
Suppose X1 is from a population with mean µ and variance 1 and X2 is from a population with mean µ and variance 4 (X1, X2 are independent). Construct an estimator of ? as ?̂=??1+(1−?)?2. Show that ?̂ is unbiased for ?. Find the most efficient estimator in this class, that is, find the value of a such that the estimator has the smallest variance.
Suppose X1 is from a population with mean µ and variance 1 and X2 is from...
Suppose X1 is from a population with mean µ and variance 1 and X2 is from a population with mean µ and variance 4 (X1, X2 are independent). Construct an estimator of ? as ?̂=??1+(1−?)?2. Show that ?̂ is unbiased for ?. Find the most efficient estimator in this class, that is, find the value of a such that the estimator has the smallest variance.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT