Question: 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

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 between 0 and z is - z(4.4 z)/10 for 0 Z 2.2 A .49 .50 for 2.2

a. Use Shah’s approximation to find i. P10 6 z 6 1.22 ii. P10 6 z 6 2.52 iii. P1z 7 .82 iv. P1z 6 1.02

b. Find the exact probabilities in part a. < < 2.6 for z 2.6

c. Shah showed that the approximation has a maximum absolute error of .0052. Verify this for the approximations in part a.

- z(4.4 z)/10 for 0 Z 2.2 A .49 .50 for 2.2 < < 2.6 for z 2.6

Step by Step Solution

★★★★★

3.51 Rating (158 Votes )

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 Business Statistics Questions!

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...

Discuss the relationship between the margin of error and the standard error of the mean. For a (1 -)-level confidence interval for a population mean when the population standard deviation is known,...

list Evaluate the following integral K dx 2 + 4x + 20 Question 1 Question 2 dx 2 + 4X + 20 tan * + C (Type an exact answer.) O Question 3 O Question 4 O Question 5 Question 6ng thuc chinh... (14)...

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...

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...

Q1. Identify the statement as true or false. 10 - 5 = 5 if and only if 7 + 5 = 13. a. True b. False Q2. Identify the statement as true or false. 2 + 1 = 6 if and only if 12 = 9. a. False b. True Q3....

Q1. For the given direct statement, write the indicated related statement (converse, inverse, or contrapositive). If you like me, then I like you. (converse) a. If you don't like me, then I don't...

Write the statement in the form if p, then q : Practice is necessary for making the team. a. If you don't make the team, then you don't practice. b. If you make the team, then you don't practice. c....

Write the statement in the form if p, then q: Practice is necessary for making the team. a. If you don't make the team, then you don't practice. b. If you make the team, then you don't practice. c....

As an administrator, you are given a single host server configured with four six-core processors, 256 GB of memory, and 1 TB of storage to deploy a number of virtual web servers, you have been told...

Customers arrive at teller windows at a bank at the rate of 12 per hour. A teller is able to process 15 customers per hour on average. If the bank has a goal that customer wait time should be no more...

In double - entry accounting, what must happen for every transaction?

A stochastic process $\{X(t), t>0\}$ has the one-dimensional distribution \[\left\{F_{t}(x)=P(X(t) \leq x)=1-e^{-(x / t)^{2}}, x \geq 0, t>0 ight\}\] Is this process weakly stationary?

A college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D =...

In a box of assorted cookies, 36% contain chocolate and 12% contain nuts. Of those, 8% contain both chocolate and nuts. Sean is allergic to both chocolate and nuts. a. Find the probability that a...

At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses have a research paper and a final exam. Let F be the event that a course has a...

Suppose the common stock of DreamIndustries has a beta of 1.4 and an expected return of 16.7 percent. The risk-free rate of return is 2.7 percent while the inflation rate is 5.74 percent. What is the...

The most recent financial statements for Dockett, Inc., are shown here (assuming no income taxes): Income Statement Balance Sheet Sales $ 6,800 Assets$19,350 Debt $6,150 Costs 4,750 Equity$13,200 Net...

Your last submission is used for your score. 4. [-/1 Points] DETAILS HARMATHAP11 5.3.025. MY The sales decay for a product is given by S 40,000e-0.2x, where S is the monthly sales and x is the number...