A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale productionof the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the meanoperating speed using the new machines (uy). Since operators of the machine have varying abilities, a random sample of 20 typistswas selected and the speed of each typist in the sample was observed once using the new word processor and once using the standardword processor. The collected data on the speed (in minutes) are as follows:Typist (i)Standard Processor (Xi)146.71060.258.759.460.361.760.264.163.262.457.8New Processor (Yi)57.257.456.458.560.161.461.960.46056.8Typist (i)Standard Processor (Xi)1112131415161718192055.461.264.764.162.965.869.356.458.563.7New Processor (Yi)50.258.463.560.562.266.368.556.658.360.2Assuming normality, compute a 95% confidence interval estimate for ux– µy.3.2.

A random sample of 20 typists was selected and the speed of each typist in the sample was observed…

Answered: A manufacturer of office machines is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.07 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…
A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale production of the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the mean operating speed using the new machines (µy). Since operators of the machine have varying abilities, a random sample of 20 typists was selected and the speed of each typist in the sample was observed once using the new word processor and once using the standard word processor. The collected data on the speed (in minutes) are as follows: Typist (i) Standard Processor (Xi) 1 2 3 4 5 6. 8 10 60.2 58.7 59.4 60.3 61.7 60.2 64.1 63.2 62.4 57.8 New Processor (Yi) 57.2 57.4 56.4 58.5 60.1 61.4 61.9 60.4 60 56.8 Typist (i) Standard Processor (Xi) 11 12 13 14 15 16 17 18 19 20 55.4 61.2 64.7 64.1 62.9 65.8 69.3 56.4 58.5 63.7 New Processor (Yi) 50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2 Assuming normality, compute a 95% confidence…
A researcher is studying hospitals cleanliness comparing carpeted rooms with uncarpted rooms. This researcher would like to determine if the mean number of airborne bacteria (per cubic foot) in carpeted rooms differs from the mean amount of airborne bacteria in uncarpeted rooms. To test thus, carpeted and uncarpeted hospitals rooms were randomely selected. Then air from the room was pumped over a petri dish and the number of bacteria of the patri dish was recorded. Since both samples are small (less than 30), you may assume that number of bacteria per petri dish is normally distributed. Using significant level =.05, use the unequal varance t-test for means to determine if the mean number of airborne bacteria in carpeted rooms differs from the mean number of airborne bacteria in uncarpeted rooms. Follow all steps and remember that you must assign population 1 and population 2 before you set up your Ho and Ha.
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As part of a staged rollout, a new email client was installed on some of the computers of a major company's customer service representatives (CSRS). One of the company's performance analysts has been tasked with estimating the difference on the busiest day of the year between the mean time (in minutes) spent working on email for CSRS using the new email client and the mean time (in minutes) spent working on email for CSRS using the old email client. On the busiest day of the year, the performance analyst studies a random sample of 16 CSRS using the new email client and a random sample of 18 CSRS using the old email client. (These samples are chosen independently.) The analyst records the amount of time (in minutes) each CSR spends working on email. These data are shown in the table. Times working on email (in minutes) New email client 166, 188, 207, 172, 202, 148, 192, 173, 197, 197, 158, 172, 209, 185, 203, 169 Old email client 78, 196, 145, 195, 109, 85, 95, 138, 232, 47, 146, 122,…
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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, µ, is less than 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.4 ounces. Based on this information, answer the questions below.
Gary has discovered a new painting tool to help him in his work. If he can prove to himself that the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a tool for each of his helpers as well. From records of recent painting jobs that he completed before he got the new tool, Gary collected data for a random sample of 7 medium-sized rooms. He determined that the mean amount of time that it took him to paint each room was 3.4 hours with a standard deviation of 0.3 hours. For a random sample of 6 medium-sized rooms that he painted using the new tool, he found that it took him a mean of 3.2 hours to paint each room with a standard deviation of 0.2 hours. At the 0.05 level, can Gary conclude that his mean time for painting a medium-sized room without using the tool was greater than his mean time when using the tool? Assume that both populations are approximately normal and that the population variances are equal. Let painting times without using…
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts 00 dispensed by this machine and use this sample to estimate H. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 95% confident that its estimate is within 0.07 ounces of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
atients suffering from rheumatic diseases or osteoporosis often suffer critical losses in bone mineral density (BMD). Alendronate is one medication prescribed to build or prevent further loss of BMD. Holcomb and Rothenberg (A-3) looked at 96 women taking alendronate to determine if a difference existed in the mean percent change in BMD among five different primary diagnosis classifications. Group 1 patients were diagnosed with rheumatoid arthritis (RA). Group 2 patients were a mixed collection of patients with diseases including lupus, Wegener’s granulomatosis and polyarteritis, and other vasculitic diseases (LUPUS). Group 3 patients had polymyalgia rheumatica or temporal arthritis (PMRTA). Group 4 patients had osteoarthritis (OA) and group 5 patients had osteoporosis (O) with no other rheumatic diseases identified in the medical record. Changes in BMD are shown in the following table. Discuss the Alendronate medication data in terms of variability. To determine if a difference…

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