The principal at Crest Middle School, which enrolls only sixth-grade and seventh-grade students, is interested in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The principal at Crest Middle School, which enrolls only sixth-grade and seventh-grade students, is interested in determining how much time students at that school spend on homework each night. The table below shows the mean and standard deviation of the amount of time spent on homework each night (in minutes) for a random sample of 20 sixth-grade students and a separate random sample of 20 seventh-grade students at this school. Standard Mean Deviation Sixth-grade students 27.3 10.8 Seventh-grade students 47.0 12.4 Based on dotplots of these data, it is not unreasonable to assume that the distribution of times for each grade were approximately normally distributed. (a) Using a 99% confidence interval, estimate the difference in mean times spent on homework for all sixth- and seventh-grade students in this school using an interval. Be sure to interpret your interval. (b) An assistant principal reasoned that a much narrower confidence interval could be obtained if the students were paired based on their responses; for example, pairing the sixth- grade student and the seventh-grade student with the highest number of minutes spent on homework, the sixth-grade student and seventh-grade student with the next highest number of minutes spent on homework, and so on. Is the assistant principal correct in thinking that matching students in this way and then computing a matched-pairs confidence interval for the mean difference in time spent on homework is a better procedure than the one used in part (a)? Explain why or why not. The principal at Crest Middle School, which enrolls only sixth-grade and seventh-grade students, is interested in determining how much time students at that school spend on homework each night. The table below shows the mean and standard deviation of the amount of time spent on homework each night (in minutes) for a random sample of 20 sixth-grade students and a separate random sample of 20 seventh-grade students at this school. Standard Mean Deviation Sixth-grade students 27.3 10.8 Seventh-grade students 47.0 12.4 Based on dotplots of these data, it is not unreasonable to assume that the distribution of times for each grade were approximately normally distributed. (a) Using a 99% confidence interval, estimate the difference in mean times spent on homework for all sixth- and seventh-grade students in this school using an interval. Be sure to interpret your interval. (b) An assistant principal reasoned that a much narrower confidence interval could be obtained if the students were paired based on their responses; for example, pairing the sixth- grade student and the seventh-grade student with the highest number of minutes spent on homework, the sixth-grade student and seventh-grade student with the next highest number of minutes spent on homework, and so on. Is the assistant principal correct in thinking that matching students in this way and then computing a matched-pairs confidence interval for the mean difference in time spent on homework is a better procedure than the one used in part (a)? Explain why or why not.
Expert Answer:
Answer rating: 100% (QA)
TRDITINL METHD given tht menx273 stndrd devitin sd1108 numbern120 ymen47 stndrd devitin sd2 124 numb... View the full answer
Related Book For
Accounting Texts and Cases
ISBN: 978-1259097126
13th edition
Authors: Robert Anthony, David Hawkins, Kenneth Merchant
Posted Date:
Students also viewed these accounting questions
-
A local car dealership is interested in determining how successful their salespeople are in turning a profit when selling a car. Specifically, they are interested in the average percentage of price...
-
The president of Kelly Company is interested in determining how effective the company's new controller has been in controlling cash on hand. You have the following information available from the...
-
For a random sample of 20 data pairs, the sample mean of the differences was 2. The sample standard deviation of the differences was 5. Assume that the distribution of the differences is mound-shaped...
-
Bonita Company's income statement contained the following condensed information. BONITA COMPANY Income Statement For the Year Ended December 31, 2022 Service revenue Operating expenses, excluding...
-
The accounts in the ledger of Overnite Delivery Service contain the following balances on July 31, 2017. Instructions Prepare a trial balance with the accounts arranged as illustrated in the chapter...
-
Raphael and Martina are engaged and are planning to travel to Las Vegas during the 2 0 2 2 Christmas season and get married around the end of the year. In 2 0 2 2 , Raphael expects to earn $ 4 5 , 3...
-
Explain the purpose of the judges charge to the jury.
-
Assume the following: the sales price to consumers is $150 the retailers markup is 50% Whirlpools after tax profit margin is 4% The hurdle rate is 20% Populations are as follows: Brazil 182...
-
Provide 2 different ways of representing this problem and its solution that might be used to 'convince' a student of the solution and its reasonableness. Think about the different ways that fractions...
-
Better Homes Products' Canadian operations are organized into two divisions: West and East. West division sells a component that could be used by East Division in making one of the company's...
-
What do you mean by Assets, Liabilities, Capital, Revenues and Expenses?n
-
Question: Your company, IRTC Manufacturing Enterprises, is upgrading its legacy billing system. The system was installed originally ten years ago, and has been upgraded according to the vendor's...
-
Question: Given the master lock expects its wholesale distributors to provide virtually all the support needed by retailers, what kind of support do you think the wholesaler distributors should...
-
TRAINING AT THE SPICES FACTORY Ana Maria is an employee at the Mak Long Spice Factory Sdn Bhd, in Butterworth, Penang. Ana Maria has five years of experience in Mak Long's Date Spice Division....
-
Which of the changes at Mattel are emergent, and which are planned? What is your assessment of Ynon Kreizs changes, given the challenges facing the company? What imageor imagesof change management...
-
A memoryless binary source with output alphabet = {1,0) and corresponding probabilities p(X =1) = 0.7 and p(X = 0) = 0.3 produces sequences of length 50. (a) (10 pts) Find the most probable sequence...
-
Write a program that have the following functions: A main function that read a person first and last name from keyboard. The main function calls the below functions. A function that takes first...
-
Is it a breach of fiduciary duty for a director of a real estate investment trust (REIT) negotiating a joint venture on behalf of the REIT with another director for the development of a portfolio of...
-
The following graphs relate to the behavior of certain costs involved in the operation of a mechanical arts course offered by a local corporation in a program of adult education. Required: a. Title...
-
Elliott Company estimated that costs of production for the coming year would be Raw materials .................................. $ 75,000 Direct labor ..................................... 90,000...
-
In December 2003, Howard Hakes, vice president of Hitchcock Automotive Services, reflected on some of the challenges his team faced in managing his company's stable of automobile dealerships. He...
-
Analysis of Canadian Manufacturing Workers Workhours. The time plot in Figure 18 . 22 describes the average annual number of weekly hours spent by Canadian manufacturing workers...
-
Souvenir Sales. The file SouvenirSales.csv contains monthly sales for a souvenir shop at a beach resort town in Queensland, Australia, between 1995 and 2001. [Source: Hyndman and Yang (2018).] Back...
-
Toys R US Revenues. Figure 18 . 23 is a time plot of the quarterly revenues of Toys R US between 1992 and 1995 (thanks to Chris Albright for suggesting the use of these data, which are available in...
Study smarter with the SolutionInn App