A machine produces bolts for construction. The length of the bolts has an expected value of 5

Question:

A machine produces bolts for construction. The length of the bolts has an expected value of 5 in and a variance of 0.05 in. A random sample of 100 bolts is taken.

a) What is the mean (expected value) and standard deviation of the random sample average?

b) Find the probability that the sample mean is greater than 5.1 in.

c) What is the probability that the sample mean is smaller than 4.9 in or greater than 5.1 in?

d) What argument did you use to support applying the normal distribution to solve parts (b) and (c)?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Principles Of Managerial Statistics And Data Science

ISBN: 9781119486411

1st Edition

Authors: Roberto Rivera

See More Books

Question Posted: Aug 08, 2023 04:39 AM

See More Questions

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
The length of connector pins has an upper specification limit of 45 mm and a lower specification limit of 40 mm. It is desirable that lots with a mean such that 8% of the product is nonconforming,...
A random sample of n = 12 four-year-old red pine trees was selected, and the diameter (in inches) of each trees main stem was measured. The resulting observations are as follows: a. Compute a point...
Ashby and Curtis, married professionals, have a 2-year-old son, Jason. Curtis works full-time as an electrical engineer, but Ashby has not worked outside the home since Jason was born. As Jason is...
On July 23 of the current year, Dakota Mining Co. pays $4,715,000 for land estimated to contain 5,125,000 tons of recoverable ore. It installs machinery costing $410,000 that has a 10-year life and...
The following information pertains to the Moline Facility for the month of May (all materials are added at the beginning of the process): Required Compute the cost per equivalent unit for materials...
The median is different from 120. An analysis of the data reveals that there are 35 minus signs and 28 plus signs. Use the sign test to test the given alternative hypothesis at the $\alpha=0.05$...
Combat Fire, Inc. manufactures steel cylinders and nozzles for two models of fire extinguishers: (1) a home fire extinguisher and (2) a commercial fire extinguisher. The home model is a high-volume...
The cost of inventory is made up of Select one: a. cost of purchase, allocated direct labour, and allocated overhead. b. cost of purchase and allocated direct labour only. c. cost of allocated direct...
If = 0.20, find the mean and the standard error of p when a) n = 100 b) n = 200 c) n = 50
Average commute times (in minutes) to work at locations across Oregon are found online. With the variable COMMUTING TO WORK - Mean travel time to work (minutes), in the file...
Three resistors are connected to a 6-V battery as shown. The internal resistance of the battery is negligible. a. What is the current through the 15- resistance? b. Does this same current flow...
How can I create a safe environment for employees to feel empowered to mourn their losses and connect with their emotions?
For each situation, explain why seeking out an individual saver to borrow money from is not ideal. Then, identify which function of banks eliminates the problem. Banks serve five functions. Read all...
In the debate over the Tax Cuts and Jobs Act of 2017, Republicans argued that businesses needed an incentive to invest more in physical capital in order for the United States to see much faster...
Think about the waste you create, and suggest what could you do with it?
What type of intervention might already be in place in your organization to help develop self- and other-awareness?
Alkenes and cycloalkanes are structural isomers of each other. Give an example of each using C4H8. Another common feature of alkenes and cycloalkanes is that both have restricted rotation about one...
Use of the contraceptive Depo Provera appears to triple women's risk of infection with chlamydia and gonorrhea , a study reports today. An estimated 20 million to 30 million women worldwide use Depo...
Fit Right, Inc., produces custom trailers for professional racers. Each trailer is built to customer specifications. During July, its first month of operations, Fit Right began production of four...
Dirt Bikes, Inc., produces custom motorized dirt bikes. Each dirt bike is built to customer specifications. During April, its first month of operations, Dirt Bikes began production of three customer...
Tax Services, Inc., provides tax accounting services and began operations on February 1. It began jobs 1 through 4 during the first half of February. The following transactions occurred that week. 1....
Question 3. Consider the following algorithm procedure Algorithm1(a;b: positive integers) while a 0 do begin if ab then a = a - b else interchange a and b end output b (a) Step by step, execute the...
As part of an experiment carried out by the Ministry of Health, three weight reduction regimens are tested for their ability to help high school students to lose weight. Data presented below are the...
10. Write a matrix equation, AX-B, for the following system: (2x - 3y4z = 4 -z = 3 2y + z = -8 and then solve the system X-A-B using the inverse matrix. Write your result as (x,y,z).

A machine produces bolts for construction. The length of the bolts has an expected value of 5

Question:

Step by Step Answer:

To solve these problems we can use the properties of the sampling distribution of the sample mean When a random sample is taken from a population with ...View the full answer

Principles Of Managerial Statistics And Data Science

Students also viewed these Business questions