User Account

All Pages

Calculate the coefficient of variation

Assignment Help Applied Statistics
Reference no: EM131596376

Please answer following 6 questions:

Question 1. Two contractors, Bill and Ben have put in the same bid for a landscaping job. You want to decide between them based on their past performance at completing jobs. The following tables are probability distributions showing the amount of time it takes Bill & Ben to finish similar jobs.

Bill
Weeks(X) 3 4 5 6
P(X = x) 0.2 0.3 0.3 0.2

Ben
Weeks(Y) 2 4 6 7
P(Y = y) 0.2 0.4 0.3 0.1

(a) How long on average would it take (i) Bill, (ii) Ben to finish the job?

(b) What is the standard deviation of the time it would take each of Bill and Ben to finish the job? Interpret the results.

(c) Who would you choose to do the job?

Question 2. The following dataset contains ages of 10 randomly selected students in a school. Complete (a) to (e) below.

9, 11, 12, 13, 13 , 15, 16, 21, 28, 42

(a) Compute the mean and standard deviation.

(b) Find the median, and compare the mean and median to determine the skewness of the dataset.

(c) Calculate the coefficient of variation.

(d) Locate the first quartile, third quartile

(e) Locate the 80th percentile.

(e) Find out the range and inter-quartile range for the dataset. Suppose the last observation (42) was incorrectly entered. If the correct age was 80, how would the correction affect the range and the inter-quartile range?

Question 3. Using the Z-table and inverse Z-table, find the following. Illustrate your solutions with appropriate diagrams (i.e. appropriately shaded Z-curves).

(a) P(0 < Z < 2.21)

(b) P(Z < -3)

(c) P(Z > -0.5)

(d) P(Z < -2 or > 2)

(e) P(Z >0.6 and <2.5)

(f) The Z value such that its left tail is 0.20.

(g) The symmetric Z values which contain 95% of all observations.

Question 4.

The clean air legislation in Australia requires that vehicle exhaust emissions do not exceed certain limits for various types of pollutants. In Queensland, the Department of Environment has recently received complaints that some car repair workshops certified vehicles that did not meet the emission standard. The regulator decides to check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop's license if they find significant evidence that the shop is issuing certificates for cars that do not meet the standard.

(a) In this context, what is a type I error?

(b) In this context, what is a type II error?

(c) Which type of error would the shop owner consider more serious?

(d) Which type of error might the environmentalists consider more serious?

Question 5.Why does σ pose a problem for sample size calculation for a mean? How can σ be approximated when it is unknown?

Question 6. Why is it better to say "fail to reject H0" instead of "accept H0"?

Attachment:- z-score.rar

Verified Expert

In a sample survey, data are collected on a set of units in order to learn about a larger population. In unit sampling, the units are selected directly from the population. In cluster sampling, the population is divided into clusters:

Reference no: EM131596376

Questions Cloud

Discuss the elements of the claim will be assault : Your law firm represents an eight-year-old boy. The child attends a private school in your local city. This particular school adheres to the idea of corporal.
Prepare a notice of appeal against acme corporation : For the final project, you will study the Acme Corporation case and organize a Trial Notebook. A Trial Notebook is an outline that a trial attorney.
How do relative elasticity of demand : Also, how do relative elasticity of demand, the relative elasticity of supply, and personal utility regarding going back to school after losing my job?
What would result if tax return you prepared were audited : What would result if tax return you prepared were audited? What approach would you use to prioritize results of the information you find during your research?
Calculate the coefficient of variation : STA101 - Statistics for Business - What is the standard deviation of the time it would take each of Bill and Ben to finish the job? Interpret the results.
What methods will be used to notify the public : Ocean Port is a major seaport and shipping city with approximately 150 miles of open ocean waterway to the east. The socioeconomic and ethnically diverse.
Basic principles of economics : The purpose of this is assignment is for students to review the basic principles of economics and the concepts of the circular flow model.
What tax regulations support and limit deductions taken : What tax regulations support and/or limit deductions taken? What questions would you ask the client to substantiate the deductions taken?
Advantages of having a cert within a community : What is the importance of the development, creation, and training of community emergency response teams (CERTs) in a local community? Explain.

Reviews

inf1596376

9/11/2017 5:42:45 AM

Appreciation ... Scored high for the work done by you guys, thanks a ton. The teacher interestingly recommended my work to be done in appropriate manner and asked others to check and allude my work. I got profoundly energetic as a result of you. Much obliged for the best conveyed task.

len1596376

8/10/2017 3:28:23 AM

1.Students are required to cover all stated requirements, penalty will apply to late sumbissions. 2.Your answer ONLY uploaded to Moodle in PDF file. 3.You need to show all the calculation steps andhighlight the answers. (There will be STEP MARK) 4.Copying each other's work or plagiarizing of anykind will receive a ZERO mark. 5.Please save the document as: STA101AT1_first name_Surename_Student Number Eg: STA101AT1_John_Smith_NA20150000

Write a Review

Applied Statistics Questions & Answers

  The vast majority of the world uses

The vast majority of the world uses

  Find the acceptance rejection region h0 and determine if yo

Consider the following hypothesis test. H_0: μ ≥ 25 H_1: µ

  How to run the four regression commands

Need help with running correlation commands in excel, as well as how to run the four regression commands: backward, forward, stepwise and best subsets.

  A hand of five cards is randomly chosen

A hand of five cards is randomly chosen, without replacement, from a standard 52 card deck. What is the probability that the hand consist of two parts of the same kind(with each pair being of  a different kind from the other pair) and one more card o..

  Construct a scatterplot for this data set in the region

Elements of Statistics--FHSU Virtual College--Fall 2016 Construct a scatterplot for this data set in the region to the right (age as the independent variable, and pulse rate as the dependent.) and based on the scatterplot, does it look like a linear..

  Design and describe a computer-based simulation model

Design and describe a computer-based simulation model

  State your null and alternative hypothesis.

Wall Street securities firms paid out record year-end bonuses of $125,000 per employee. Suppose we take a sample at Goldman Sachs to see whether the year-end bonus is different from the population mean in Wall Street companies

  A journal article was recently published about typing skills

A journal article was recently published about typing skills, and in this article, the results of a national typing test were reported. The authors of the article claim that the population of those considered to be "skilled" typists can type an avera..

  Allergic reactions to poison ivy can be miserable

Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known all..

  Explore the effectiveness of the restrictiveness strategy

Health plans use many tools to try to control the cost of prescription medicines. For older drugs, generic substitutes that are equivalent to name brand drugs are sometimes available at a lower cost. Another tool that may lower costs is restrictin..

  The measure of the central angle for the class

If a Pie Chart were constructed for the weights of the salmon, what would be the measure of the central angle for the class weighing 200-249 grams?

  Introduction we presented gas mileage data

In the chapter introduction we presented gas mileage data for 2000 and 2009 model year compact cars. We will use histograms and back-to-back stem-and-leaf plots to compare the mileage between these two groups of cars. The following tables present the..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd