Question: A normal population has known mean = 50 and variance o = 5. What is the approximate probability that the sample variance is greater than

A normal population has known mean = 50 and variance o = 5.

What is the approximate probability that the sample variance is greater than or equal to 7.44? less than or equal to 2.56? For a random sample of size

(a)

(b)

(c) 16 30 71

(d) Compare your answers to parts (a)-

(e) for the approxi- mate probability that the sample variance is greater than or equal to 7.44.

Explain why this tail probability is increasing or decreasing with increased sample size.

(e) Compare your answers to parts (a)-

(c) for the approxi- mate probability that the sample variance is less than or equal to 2.56.

Explain why this tail probability is increas ing or decreasing with increased sample size.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Statistics And Multivariate Questions!

A normal population has known mean = 50 and variance 2 = 5. What is the approximate probability that the sample variance is greater than or equal to 7.44? less than or equal to 2.56? (a) For a random...

Assume the random variable x is normally distributed with mean u = 50 and standard deviation 6 = 7. Find the indicated probability. P(x > 38) P(x > 38) = D (Round to four decimal places as needed.)...

Location Income ($1,000) Urban 27 Rural 25 Suburban 25 Suburban 26 Rural 30 Urban 29 Rural 33 Urban 30 Suburban 32 Urban 34 Urban 35 Urban 40 Rural 30 Rural 33 Urban 42 Suburban 32 Urban 43 Urban 43...

A normal population has known mean 50 and variance 2 5. What is the approximate probability that the sample variance is greater than or equal to 7.44? Less than or equal to 2.56? (a) For a random...

8-39. (Sampling Distribution of the Median) Given a random sample of size n, let us arrange the sample random variables X1, i = 1, . . . , n, in order of increasing numerical magnitude. Let the...

1-X is a normally distributed random variable with mean 50 and standard deviation 5. What is the probability that 2X will be less than 110? (Hint: What is the new mean of 2X? What is the new variance...

1.) X is a normally distributed random variable with mean 50 and standard deviation 5. What is the probability that X will be less than 55? a) 0.159 b) 0.023 c) 0.841 d) 0.977 2.) The 80th percentile...

answer questions listed on 1st picture 84 Sample Examination Four Section I 8. The histogram shows the ages of cars in the parking lot at a local high school. X 6 . 8 9 10 Which of the following...

1.)Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha. 14 Find the complement of the claim. less than or equals not equals less than

Consider a random walk in the set {0,1,..., M} with transition probabilities P01 1, PM,M-1 = 1, and Pi,i-1 = 9, pi,i+1 = P, Pi,i = 1-p -q for i = 1, ..., M - 1. (a) Sketch the state transition...

Government failure may result from a.)Operational inefficiency by the public sector only. b.)Misallocation of resources only. c.)Accurate valuations of benefits but inaccurate valuations of costs....

In what ways are the Net Present Value and Internal Rate of Retarn methods of capital budgeting alke? They both focus on GAAP Ther boen factor in the liene rolue of money Ther hodh menvere the...

Draw all tertiary amines with molecular formula C 5 H 13 N, and provide a name for each isomer. Are any of these compounds chiral?