Use the Wilcoxon test to analyze the data given in Example 9.12. Example 9.12 Particulate matter from
Question:
Use the Wilcoxon test to analyze the data given in Example 9.12.
Transcribed Image Text:
Example 9.12 Particulate matter from roads contributes to pollution when those particles are washed into nearby waterways by rain. The size of the particles can impact the effectiveness of various stormwater control measures. The authors of the article "Characterizing Runoff from Roads: Particle Size Distributions, Nutrients, and Gross Solids" (J. Environ. Engr. 2016) took roadside measurements at several sites in North Carolina. For each assay they recorded d50, the median size of particles in the assay (a standard measure of particle size in such studies). Here are the d50 values (microns) for n = 9 assays performed off I-40 near Black Mountain: Previous studies indicated that the typical d50 value alongside roads of this type is 44 microns. Does the sample data provide convincing statistical evidence that the true mean d50 value differs from 44 microns? Let's carry out a test using a significance level of α = .01. 82.9 56.8 66.5 49.4 105.4 79.5 82.5 50.7 43.0 1. μ = true average d50 value (microns) for particulate matter assays at the Black Mountain site 2. Ho: μ = 44 H: μ + 44 3. A normal probability plot (not shown) indicates that the population distribution could plausibly be normal, so the one-sample t test will be used. x - 44 s/√√n 4. t = x - Ho s/√√n 5. From Appendix Table A.6, to/2n-1=1.005,8 = 3.355. So we reject Ho if either t > 3.355 or t≤ -3.355. 6. From the data provided, x = 68.52 and s= 20.49. Substituting, t= 68.52-44 24.52 20.49/√9 6.83 - = 3.59 7. Because the computed value t = 3.59 falls in the rejection region (3.59 3.355), Ho is rejected at the .01 level. Even this small sample of data provides convincing statistical evidence that the true mean d50 value for roadside particulates at the Black Mountain site differs from the "typical" value of 44 microns seen in other studies.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
Answered By
Benish Ahmad
I'm a professional software engineer. I'm lectutrer at GCUF and I have 3 years of teaching experience. I'm looking forward to getting mostly computer science work including:
Programming fundamentals
Object oriented programming
Data structures
object oriented design and analysis
Database system
Computer networks
Discrete mathematics
Web application
I am expert in different computer languages such as C++, java, JavaScript, Sql, CSS, Python and C#. I'm also have excellent knowledge of essay writing and research. I have worked in other Freelancing website such as Fiverr and Upwork. Now I have finally decided to join the SolutionInn platform to continue with my explicit work of helping dear clients and students to achieve their academic dreams. I deliver plagiarism free work and exceptional projects on time. I am capable of working under high pressure.
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Modern Mathematical Statistics With Applications
ISBN: 9783030551551
3rd Edition
Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton
Question Posted:
Students also viewed these Business questions
-
Using relevant examples, discuss the current trends in occupational health and safety in organizations. (15 marks)
-
The nonparametric statistics textbook by Hollander and Wolfe (1999) discussed a study on a social skills training program for alcoholics. A sample of male alcoholics was randomly split into two...
-
Sixteen freshmen on a college campus were grouped into eight pairs in such a way that the two members of any pair were as similar as possible in academic backgrounds- as measured by high school class...
-
The following information is computed from Fast Food Chains annual report for 2006. 2006 2005 Current assets $ 2,731,020 $ 2,364,916 Property and equipment, net 10,960,286 8,516,833 Intangible...
-
Suppose that in January the outcomes for the rates of return on Securities A and B are .09 and .15, respectively. (a) If an investor had formed her portfolio (worth a total of $1,000) by allocating...
-
An investor expects a company to enjoy 8% compound annual growth for ever, and she thinks that the appropriate rate for discounting the companys dividends would be 14%. She knows that the companys...
-
Your uncle Mannys company has transferred him to your area, and he and his wife, Karen, will be moving within the next two months. Because Mannys work requires fairly frequent moves, he and Karen are...
-
The following account balances were included in the trial balance of Twain Corporation at June 30, 2012. The Retained Earnings account had a balance of $337,000 at July 1, 2011. There are 80,000...
-
Question 7 (18 marks - 32 minutes) Mr. Cecil Tyrone owns 100% of the shares of CT Industries, a Canadian controlled private corporation. The Company was incorporated by Mr. Tyrone with an initial...
-
Consider the following scene: an actor watches a man in a gorilla suit hide behind haystack A. The actor leaves the area, and the gorilla moves to behind haystack B, after which the actor re-enters....
-
Child development specialists widely believe that diverse recreational activities can improve the social and emotional conduct of children. The article Influence of Physical Activity on the Social...
-
Using the data and your raw frequency tables from Exercise 1, construct a frequency distribution for class. a. Which is the smallest perceived class? b. Which two classes include the largest...
-
A fish is able to jump vertically out of the water with a speed of 4 . 4 m / s . How much time in seconds does it take for the fish to pass a point 0 . 5 m above the water on the way down?
-
For the month of September, Florida, Inc., incurs a direct materials cost of $ 1 2 , 0 0 0 for 7 , 5 0 0 gallons of strawberry lemonade produced in its Mixing Department. It also incurs conversion...
-
Discuss the impact of single-nucleotide polymorphisms (SNPs) and other types of genetic variation on disease susceptibility and personalized medicine .
-
A 10.0 kg crate slides down a frictionless surface inclined at 30.0 relative to the horizontal. a. Draw a Free Body Diagram for this situation. b. Determine the magnitude of the parallel component of...
-
The crime scene itself was located inside a bedroom. The entrance door, from the hallway into the bedroom was located on the north wall of the room. Also on the north wall of the room, located on...
-
Explain two reasons a minority in a median-voter model is able to obtain net benefits through a restrictive trade policy that clearly harms the majority group and the country as a whole.
-
Do public and private companies follow the same set of accounting rules? Explain.
-
Carl Carson, a single taxpayer, owns 100% of Delta Corporation. During 2017, Delta reports $150,000 of taxable income. Carl reports no income other than that earned from Delta, and Carl claims the...
-
Frank, Greta, and Helen each have a one-third interest in the FGH Partnership. On December 31, 2016, the partnership reported the following balance sheet: The partnership placed Asset 1 (seven-year...
-
Which of the following items are considered to be inventory for purposes of Sec. 751? a. Supplies b. Inventory c. Notes receivable d. Land held for investment purposes e. Lots held for resale
-
Mahogany Company manufactures computer keyboards. The total cost of producing 15,000 keyboards is $430,000. The total fixed cost amounts to $130,000. Determine the total cost of manufacturing 25,000...
-
Assets Liabilities Common Stock Shareholders' Equity Retained Earnings $ In May, Rec Rooms, Inc., collected $8,000 owed by customers for services performed in April. Show the effect of this...
-
is federal legislation providing rules for how private-sector organizations collect, use, or disclose information about employees in the course of for-profit commercial activities in Canada. A)...
Study smarter with the SolutionInn App