Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

Shelly cashman word 2016 module 1 sam project 1a

25/12/2020 Client: saad24vbs Deadline: 3 days

MATH 1131 3.00 A S1

Assignment 4

Total marks = 60

Question 1: Here are the weights (in kilograms) of a random sample of 24

male runners

67.8 61.9 63.0 53.1 62.3 59.7 55.4 58.9

60.9 69.2 63.7 68.3 64.7 65.6 56.0 57.8

66.0 62.9 53.6 65.0 55.8 60.4 69.3 61.7

Suppose that the standard deviation of the population of weights is known

to be σ = 4.5 kg.

(a) (4 marks). Stating any additional assumptions, give a 95% confidence

interval for the population mean weight µ. Are you quite sure that µ

is less than 65 kg? Why?

(b) (3 marks). How many male runners would you have needed to estimate

µ with a margin of error equal to 1 kg with 95% confidence?

(c) (2 marks). Based on the confidence interval you gave in part (a), does

a test of

H0 : µ = 61.3 kg

Ha : µ = 61.3 kg

reject H0 at the 5% significance level? Why?

(d) (2 marks). Would H0 : µ = 65 be rejected at the 5% level if tested

against a two-sided alternative? Why?

Question 2: An agronomist examines the cellulose content of a variety of

alfalfa hay. Suppose that the cellulose content in the population has standard

deviation σ = 8 milligrams per gram (mg/g). A sample of 15 cuttings has

mean cellulose content x = 145 mg/g.

¯


1


(a) (2 marks). Give a 90% confidence interval for the population mean

cellulose content µ.

(b) (7 marks). A previous study claimed that the mean cellulose content

was µ = 140 mg/g, but the agronomist believes that the mean is higher

than that figure. State H0 and Ha and carry out a significance test to

see if the new data support this belief.

(c) (2 marks). The statistical procedures used in (a) and (b) are valid

when certain assumptions are satisfied. What are these assumptions?

Question 3: You want to see if a redesign of the cover of a mail-order

catalogue will increase the mean sales µ. A random sample of 900 customers

are to receive the catalogue with the new cover. For planning purposes,

you are willing to assume that the sales from the new catalogue will be

approximately normally distributed with σ = 50 dollars. The mean sales for

the original catalogue is 25 dollars. You wish to test

H0 : µ = 25

Ha : µ > 25

You decide to reject H0 if the sample mean sales x > 26 and to accept H0

¯

otherwise.

(a) (2 marks). Find the probability of a Type I error, that is, the probability that your test rejects H0 when in fact µ = 25 dollars.

(b) (2 marks). Find the probability of a Type II error when µ = 28 dollars.

This is the probability that your test accepts H0 when in fact µ = 28.

(c) (2 marks). Find the probability of a Type II error when µ = 30.

(d) (2 marks). The distribution of sales is not normal because many customers buy nothing. Why is it nonetheless reasonable in this circum¯

stance to assume that the sample mean sales X will be approximately

normal?


2


Question 4: A company medical director failed to find significant evidence

that the mean blood pressure of a population of executives differed from

the national mean µ = 128. The medical director now wonders if the test

used would detect an important difference if one were present. For a random

sample of size 72 from a normal population of executive blood pressures with

standard deviation σ = 15, the z statistic is


z = (¯ − 128)/(15/ 72)

x

The two-sided test rejects

H0 : µ = 128

at the 5% level of significance when |z| ≥ 1.96.

(a) (5 marks). Find the power of the test against the alternative µ = 135.

(b) (4 marks). Find the power of the test against µ = 121. Can the test

be relied on to detect a mean that differs from 128 by 7?

(c) (1 mark). If the alternative were farther from H0 , say µ = 138, would

the power be higher or lower than the values calculated in (a) and (b)?

Question 5: (10 marks). Assume rents of one-bedroom apartments are

normally distributed. A random sample of 10 one-bedroom apartments from

your local newspaper has these monthly rents (in dollars):


500


650


600


505


450


550


515


495


650


395


Do these data give reason to believe that the mean rent of all advertised

apartments is greater than $500 per month? State hypotheses, find the t

statistic and its p-value, and state your conclusion.

Question 6: (2 marks). Large trees growing near power lines can cause

power failures during storms when their branches fall on the lines. Power

companies spend a great deal of time and money trimming and removing

trees to prevent this problem. Researchers are developing hormone and

chemical treatments that will stunt or slow tree growth. If the treatment

3


is too severe, however, the tree will die. In one series of laboratory experiments on 216 sycamore trees, 41 trees died. Give a 95% confidence interval

for the proportion of sycamore trees that would be expected to die from this

particular treatment.

Question 7: (2 marks). A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education

at any public or private school of their choice. The result was based on a

small sample. How large a random sample is required to obtain a margin of

error of ±0.03 (i.e., ±3%) in a 95% confidence interval? (use the previous

poll’s result to obtain the guessed value p∗ .)

Question 8: (6 marks). Of the 500 respondents in a Christmas tree telephone survey, 44% had no children at home and 56% had at least one child at

home. The corresponding figures for the most recent census are 48% with no

children and 52% with at least one child. Test the null hypothesis that the

telephone survey technique has a probability of selecting a household with

no children that is equal to the value obtained by the census. Give the z

statistic and the p-value. What do you conclude?



Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

University Coursework Help
Best Coursework Help
Helping Hand
Top Essay Tutor
Writer Writer Name Offer Chat
University Coursework Help

ONLINE

University Coursework Help

Hi dear, I am ready to do your homework in a reasonable price.

$112 Chat With Writer
Best Coursework Help

ONLINE

Best Coursework Help

I am an Academic writer with 10 years of experience. As an Academic writer, my aim is to generate unique content without Plagiarism as per the client’s requirements.

$110 Chat With Writer
Helping Hand

ONLINE

Helping Hand

I am an Academic writer with 10 years of experience. As an Academic writer, my aim is to generate unique content without Plagiarism as per the client’s requirements.

$110 Chat With Writer
Top Essay Tutor

ONLINE

Top Essay Tutor

I have more than 12 years of experience in managing online classes, exams, and quizzes on different websites like; Connect, McGraw-Hill, and Blackboard. I always provide a guarantee to my clients for their grades.

$115 Chat With Writer

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Bond university busa office - Box hill tafe orientation day - What are some variable costs for a fitness center - Ann thompson susan venables - What do women want kim addonizio - Chapter 3 economics answers - Marketing implications of introducing new coke - Manager's pocket guide to emotional intelligence pdf - Carl becker ideal democracy summary - Manitou m30 4 manual - How is the pursuit of perfection shown with the Classical Greek people? - Week 8 - Respond to this discussion - Ifrs 9 impairment model example - Advertising VI - Public Administration unit 7 Discussion - COMM THEORY - ATTRIBUTION THEORY/CRISIS/COVID - Key audit objectives for a client's payroll function - Section 15aa acts interpretation act - Columbus custom carpentry a compensation case study solution - Why are budgets useful in the planning process - Camphor nmr - Endeavour energy electrical safety rules - River north wine fest groupon - Us airline industry case study - Lesson Plan - Kings regiment association knowsley - Motor vehicle accident case study nursing - Discussion lab report chemistry acid base titration - Culture topics for informative speech - The clientele of black & company's audit practice - English writing - APA 7 ANCIENT CIVILIZATIONS - Allstar toothpaste - Hbs pricing simulation solution - Employee training and development raymond noe 6th edition - Special occasion speech outline pdf - See if i care answers - Sports coaching assignment 1 - Discussions-A - Flight paramedic job description - Cpccbc4009b apply legal requirements to building and construction projects - Which technological factor determines the impact of a failure domain - Please explain how a paralegal may engage in advocacy - A swimmer heading directly across a river 200m wide reaches the opposite bank in 6 min 40 seconds. She was swept downstream 480m so how fast can she swim in still water - Conservation of energy at the skate park answers - Cartouche template to print - Moorebank sports club menu - Gartner magic quadrant for security awareness computer-based training - Autobiography as spectacle gloria bird - Which system was known as the "congregate and silent" system? - Blood pressure and exercise lab - Sample informative speech about technology - Palo alto 5250 throughput - How to write a concert report sample - Hoppers crossing radiology 267 heaths road - Simulation - There are three industrial firms in happy valley - How to create histogram in excel 2003 - Amnesty international press release - Petrus aged pale trader joe's 102 - Week 5 Activity - Weighted competitive strength assessment under armour - Ender's game chapter 5 summary - Hemoglobin electrophoresis interpretation chart - Tbp4men - Ssaa org au win - Friday - Alpha chiang mathematical economics solutions - Case - Racism quotes in to kill a mockingbird - Allotments for rent in chorley - Week 7 - Www jud ct gov jury answer htm - Gcsolution ver 2.32 download - Restaurant management system project report doc - Thumbs up elbows back feet apart - What happens when you mix sodium chloride and silver nitrate - 1 point perspective interior - Global environment for network innovations - 107nrwk3obj - Find Dawi Pharmacy Near Me Now and Soothe Tired Eyes Fast? - Managerial Finance - Discussion(NS) - Isolation of limonene from orange peels - Moodle ucl ac uk - University of glasgow gatehouse - Ronald rivest net worth - How to date a browngirl by junot diaz theme - Steel industry key success factors - Apa project management - Science of Persuasion - Xray led light bar - H&m generic strategy - Borges machine shop, inc., has a 1-year contract for the production of - Igcse pe syllabus 2016 - Order 2276896: Christian Value and Ethics - C229 obesity time log - Australian college of theology results - Bird v jones case summary