Question: A random sample of n items is to be taken from a distribution with mean and standard deviation . a. Use the Chebyshev inequality

A random sample of n items is to be taken from a distribution with mean Î¼ and standard deviation Ïƒ.
a. Use the Chebyshev inequality to determine the smallest number of items n that must be taken in order to satisfy the following relation:

b. Use the central limit theorem to determine the smallest number of items n that must be taken in order to satisfy the relation in part (a) approximately.

Pr0.99.

Step by Step Solution

★★★★★

3.34 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a As in part a of Exercise 9 Now 1 16n 099 if and only i... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

602-M-S-R-S (352).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose that 30 percent of the items in a large manufactured lot are of poor quality. Suppose also that a random sample of n items is to be taken from the lot, and let Qn denote the proportion of the...

Suppose that the proportion p of defective items in a large manufactured lot is unknown, and it is desired to test the following simple hypotheses: H0: p = 0.3, H1: p = 0.4. Suppose that the prior...

A random sample of n = 9 values taken from a normally distributed population with a population variance of 25 resulted in the following sample values: Use the sample values to construct a 90%...

A random sample of n items is to be taken from a distribution with mean and standard deviation . a) Use the Chebyshev inequality to determine the smallest number of items n that must be taken in...

4. (7 points) A random sample of 17. items is to be taken from a distribution with mean u and standard deviation or. Use the Chebyshev inequality to determine the smallest number of items n that must...

Problem 1. Which one of the following charts represents a probability distribution (5 points): Problem 2. The number of crimes committed daily has some unknown probability distribution with the mean...

4. It is known that when a five-card poker hand is dealt from a well-shuffled standard deck, the number of high cards (aces, kings, queens, or jacks) has a distribution that is skewed to the right,...

Lesson 10 Question 1 A random sample of 100 freshmen students at University Park campus is taken to estimate the percentage of freshmen that have taken a tour of Pattee Library during orientation...

8 questions, some with parts 1. IQ Score Invest in market No. Investment Totals 1 893 4,682 5,575 2 1,327 8,959 10,286 3 2,110 9,519 11,629 4 5,387 19,584 24,971 5 8,108 24,602 32,710 6 10,121 20,108...

A 1-in.-square aluminum strut is maintained in the position shown by a pin support at A and by sets of rollers at B and C that prevent rotation of the strut in the plane of the figure. Knowing that...

Outline the main elements of food production.

Last year Apple charged $ 1 , 6 1 8 , 4 0 0 Depreciation on the Income Statement of Andrews. If Apple sold a fully depreciated piece of equipment at a loss, the effect on Andrews's financial...

Which of the following assumptions is based on the notion that business transactions must be reported in the currency of the country in which the company operates? A. Monetary unit assumption B. Time...

The article "Effect of Cutting Conditions on Tool Performance in CBN Hard Turning" (J. of Manuf. Processes, 2005: 10-17) reported the accompanying data on cutting speed (m/s), feed (mm/rev), depth of...

Analogous to a Latin square, a Greco-Latin square design can be used when it is suspected that three extraneous factors may affect the response variable and all four factors (the three extraneous...

The accompanying data resulted from an experiment involving three different brands of lathe in combination with three different operators (the blocking factor). The response variable is the...

Question 7 1 pts Transportation companies currently have a WACC of 11%, and their FCFS grow at a constant rate. TTT, a large transportation company, will have a year-end free cash flow (FCF) of $3...

units to 0 decimal places, e.g. 125 and final answers to 2 decimal places, e.g. 5,125.25.)

months and will partially disrupt production. The firm has just completed a $50,000 feasibility study to analyze the decision to buy the XC-750, resulting in the following estimates: to be 74% of...