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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An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpmwpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8 wpmwpm. A one-sample tt-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpmwpm. The resulting pp-value was 0.267. Which of the following is a correct interpretation of the pp-value? The probability is 0.267 that the mean typing speed is 60 wpmwpm or more for workers from the agency. A The probability is 0.267 that the mean typing speed is 60 wpmwpm or less for workers from the agency. B The probability is 0.267 that the mean typing speed is 58.8 wpmwpm or less for workers from the agency. C If the mean typing speed of workers from the agency is 60 wpmwpm, the probability of selecting a sample of 50 workers with mean 58.8…
The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected, and the mean weight was 390 grams. Let μ = the true mean weight of the Granny Smith apples in the orchard. Under the assumption that the true mean weight of Granny Smith apples is 380 grams, 100 simulated means for samples of size 40 are shown in the dotplot. Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams? Yes, since a sample mean weight of 390 grams or more only occurred once in 100 simulated values, there is evidence that the true mean weight is greater than 380 grams. Yes, since a sample weight of 390 grams is greater than the mean weight of 380 grams, there is evidence to prove that the true mean weight of the apples is greater than 380 grams. No, since a sample mean weight of 390 grams is only 10 grams more than a mean weight of 380 grams, there is insufficient evidence that…
In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01.
In building an arena, steel bars with mean ultimate tensile strength of 400 megapascal(Mpa) with a variance of 81 Mpa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypotheses whether or not there is no significant difference between the two means using a two-tailed test with a=0.01. 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistics to be used and the reasons for its selection? 3. What is the critical value of c? 4. What is the value of the test statistic or the computed value? 5. Formulate a conclusion about the given situation.
A large firm employing tens of thousands of workers has been accused of discriminating against its female managers. The accusation is based on a random sample of 100 managers. The mean salary for 38 female managers is $76,189, while the mean annual salary of 62 male managers is $97,832. A two-sample t-test reveals that the difference between the male and female mean salaries is significant yielding a p-value less than 0.01, suggesting there is overwhelming evidence that the mean male salary is significantly higher than the mean female salary. The president of the company points out that the company has a strict policy of equal pay for equal work and that the difference in pay must be attributable to some other factors besides gender. To this point he provides the following multiple linear regression output where: Education is recorded as the number of years of education each manager had Experience is recorded as the number of years of experience Gender is recorded as 0 for…
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8. Which of the following represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants? (89.2−92.4)±1.9603.1238+3.8237−−−−−−−−√ A (89.2−92.4)±1.6883.1238+3.8237−−−−−−−−√ B (89.2−92.4)±1.6453.1238+3.8237−−−−−−−−√ C…
A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expenses among three industries rejected the null hypothesis. The mean square error (MSE) was 209. The following table summarizes the results: Education Tax Services Food Services Number Sampled 10 14 16 Mean Expense (1,000,000s) 16 43.5 48 When comparing the mean annual computer technology expenses for companies in the tax services and education industries, which of the following 95% confidence intervals can be constructed? Select one: a. 27.5 ± 2.021 × 5.986 b. 27.5 ± 2.026 × 27.96 c. 27.5 ± 2.021 × 27.9 d. 27.5 ± 2.026 × 5.986
A company that manufactures steel wires guarantees that the mean breaking strength (in kN) of the wires is greater than 50. They measure the strengths for a sample of wires and test H0 : μ ≤ 50 versus H1 : μ > 50. a) If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength? b) If a Type II error is made, what conclusion will be drawn regarding the mean breaking strength?
A manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hours, with a standard deviation of 0.20 hours. A consultant has developed a new instructional booklet intended to reduce the time an inexperienced kit builder will need to assemble the device. In a test of the effectiveness of the new booklet, 15 novices require a mean of 2.90 hous to complete the job. Assuming the population of times is normally distributed, and using the 0.05 level of significance, should we conclude that the new booklet is effective? Select one: a. The test statistics is -1.53 and is more than critical value, so new booklet is effective b. The test statistics is -1.73 and is more than critical value, so new booklet is not effective c. The test statistics is -2.14 and is less than critical value, so new booklet is not effective d. The test statistics is -1.94 and is less than critical value, so new booklet is effective
The management at The Bank of the United States claims that the mean waiting time for all customers at its branches is less than that at the Public Bank, which is its main competitor. A business consulting firm took a sample of 100 customers from the The Bank of the United States and found that they waited an average of 4.5 minutes before being served. Another sample of 200 customers taken from the Public Bank showed that these customers waited an average of 4.75 minutes before being served. Assume that the standard deviations for the two populations are 1.2 and 1.5 minutes, respectively. Suppose you must test the hypothesis at 5% significance level whether the claim of the management of the The Bank of the United States is true. 2.DETERMINE I) the alternative hypothesis to be tested: II) the value of test statistic III) the p-value for this problem and the conclusion
A maker of electric vehicles wants to estimate the meandistance travelled between charges for all the electric carsmade at a new plant. The firm selects a sample of 40 cars forthis study, and finds that the cars in the sample averagedabout 100 miles between charges. From prior studies, thestandard deviation for the distance between charges isknown to be about 20 miles. Construct a 90% confidenceinterval estimate of the average distance travelled betweencharges for all the cars from the new plant.
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…

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