Question: A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A

A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A under the standard normal curve between 0 and z is

a. Use Shah€™s approximation to find
i. P(0 ii. P(0 iii. P(z > .8)
iv. P(z b. Find the exact probabilities in part.
c. Shah showed that the approximation has a maximum absolute error of .0052. Verify this for the approximations in part a.

(4.4-z)/10 for 0S(-2.2 for 2.2z2.6 for z 2.6 .50

Step by Step Solution

★★★★★

3.50 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a i 384 ii 49 iii 2... 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)

456-M-S-C-R-V (357).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Find z when the area between 0 and z is 0.4750

Find the following areas under the normal curve. a. To the right of z = 0.00 b. To the right of z = 1.05 c. To the right of z = -2.30 d. To the left of z = 1.60 e. To the left of z = -1.60

Set Student Name: 1. Answer true or false for each part, and if false, explain your answer. a. The point estimate for the population mean, , of an x distribution is x-bar, computed from a random...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

145 Normal curve approximation. A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A under the standard...

Normal curve approximation. A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A under the standard...

The best definition for nonparametric statistics I can think of is when data does not fit inside the normal parameters of a normal distribution, it calls for the use of this statistical method....

Sundar G. Bharadwaj, P. Rajan Varadarajan, & John Fahy Sustainable Competitive Advantage in Service Industries: A Conceptual Model and Research Propositions The purpose of competitive strategy is to...

J Quant Criminol (2010) 26:509-525 DOI 10.1007/s10940-010-9119-1 ORIGINAL PAPER The Development and Impact of Self-Report Measures of Crime and Delinquency Marvin D. Krohn Terence P. Thornberry Chris...

How does the balance in Allowance for Doubtful Accounts before adjustment affect the amount of the year-end adjustment under the percentage of sales method? Under the percentage of receivables method?

Production and Purchases Budgets in Units At the end of business on June 30, the PE Rug Company had 35,000 square yards of rugs and 100,000 pounds of raw materials on hand. Budgeted sales for the...

Records pertaining to the monthly number of job-related injuries were being studied by a federal agency. The values of the past 100 months are: Injuries per month Frequency of occurrences 0 35 1 40 2...

Option Pricing: PV of Cap. Ex. (Yrs. 1-2) 8.7 Maturity 4.0 PV of NCF 27.2 Risk free rate 4.0%Volatility 30%BS calculations: d1 2.46 N(d1) 0.99 d2 1.86 N(d2) 0.97 Price of call 19.77 Difference: -...

Which TW0 of the following are features of the VAT cash accounting scheme? Date of payment or receipt determines the VAT period in which the transaction is dealt with Only need to submit an annual...

Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks....

A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses. If the coin is unbalanced and a head has a 40% chance of occurring, find...

Given the joint density function find P (l

QUESTION 3 To study if there is an association between the gender of a student and the major that they have as their first choice in the science division, a random sample of 141 students had the...

You own a 10-year bond that pays 6 percent interest annually. The par value of the bond is $1,000 and the market price of the bond is $900. What is the yield to maturity of the bond?

Consider the following information concerning three portfolios, the market portfolio, and the risk-free asset: Assume that the tracking error of Portfolio X is 10.50 percent. What is the information...