Q4.A manufacturer of tennis rackets intends to set 45 lb tension in one of its productlines. The company spends £60,000 for total warranty (merchandise returned for outof specification tension). A sample data from monthly production of 32000 racketsshow the following readings:45 50 54 46 4748 (unit: lb)To improve the product, the owner invested £220,000 in a new assembly operationwhich produced the following samples:434645 444544.5 (unit: lb)a) Using Taguchi loss function to calculate how much saving the investment hasproduced, using Lav = k· MSD ≈ k[s² + (5 m)²], where Lap is the averageTaguchi loss; MSD is the Mean Squared Deviation;k is the constant in Taguchiloss function.b)Perform a t-test to see if there is a significant difference in quality due to twodifferent assembly operations (significance level a=0.05) (t-distribution tableattached in Fig. Q4 below). The t-test statistic is given by:(3₁-3₂)-Da(+9)where -(n-1)²+(n₂-1) sm+m₂-2 Degrees .005 (1-tail)01 (2-tails)ofFreedom12345678910111213141516171819202122232425262782282963.6579.9255.8414.6044.0323.7073.5003.3553.2503.1693.1063.0543.0122.9772.9472.9212.8982.8782.8612.8452.8312.8192.8072.7972.8782.7792.7712.7632.756Large 2.575Significance level = Q01 (1-tail) .025 (1-tail) .05 (1-tail).02 (2-tails) .05 (2-tails).10 (2-tails)31.8216.9654.5413.7473.3653.1432.9982.8962.8212.7642.7182.6812.6502.6252.6022.5842.5672.5522.5402.5282.5182.5082.5002.4922.4852.4792.4732.4672.4622.32712.7064.3033.1822.7762.5712.4472.3652.3062.2622.2282.2012.1792.1602.1452.1322.1202.1102.1012.0932.0862.0802.0742.0692.0642.0602.0562.0522.0482.0451.960Fig. Q46.3142.9202.3532.1322.0151.9431.8951.8601.8331.8121.7961.7821.7711.7611.7531.7461.7401.7341.7291.7251.7211.7171.7141.7111.7081.7061.7031.7011.6991.645.10 (1-tail).20 (2-tails)3.0781.8861.6381.5331.4761.4401.4151.3971.3831.3721.3631.3561.3501.3451.3411.3371.3331.3301.3281.3251.3231.3211.3201.3181.3161.3151.3141.3131.3111.282.25 (1-tail)50 (2-tails)1.000.816.765.741.727.718.711.706.703.700.697.696.694.692.691.690.689.688.688.687.686.686.685.685.684.684.684.683.683.675

Given that a manufacturer of tennis rackets intends to set 45 lb tension in one of its product…

Answered: Q4. A manufacturer of tennis rackets…

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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2. A customer at a specialty milk tea shop observed the amount of time, in minutes, that each of 20 customers spent waiting to receive an order. The results are recorded in the table below: Time (min) to receive order 3.2 4.0 3.8 2.4 4.7 5.1 4.6 3.5 3.5 6.2 3.5 4.9 4.5 5.0 2.8 3.5 2.2 3.9 5.3 Find the mean and sample standard deviation of these data. Interpret the results. 62 29 2.9
Suppose that we want to determine if the average amount of timespent online by the students is lessthan 4.5 hours/day. To this end, weconduct a survey of students and askthem how long they spend online perday. We obtain the following results:4.1, 4.3, 4.3, 4.5, 4.6, 4.3, 4.1, 4.6,4.7, 4.6, 4.7, 4.1, 4.3, 4.3, 4.5, 4.6,4.3, 4.1, 4.6, 4.7, 4.6, 4.7, 4.5, 4.6,4.3, 4.1 Assume that the number ofhours spent online has a normal distribution. Test your hypot
a.In an aquaculture study the following variables were measured on each fish: sex. Initial weight (g), bodytemperature (C), weight gain (g). For each variable indicate the scale of measurement. (b) A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000gallons). What is the application rate in ml/1000litrtrs if there are 28.375 ml/oz and 4.5liters/gallon? (c) The term test scores of 15 students enrolled in a Business statistics class were recorded inascending order as follows 4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20. After calculatingthe mean, median and the mode an error is discovered: one of the 15’s is really a 17. Of the threemeasures of central tendency which will change? (d) A student discovers that his grade on a recent test was the 72 nd percentile. If 90 students wrotethe test, then approximately how many students received a higher grade than he did?
The toll plaza on Route 1 in Dover has four tollbooths open to all vehicles. Ms. Timlin conducted a chi-square goodness of fit test to see if all of the booths are used in equally. A chi-square value of 23.4 was calculated, resulting in a p-value of 0.006. Which of the following is correct? a. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions. Selected:b. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.This answer is incorrect. c. The tollbooths are used in equal proportions. d. There is insufficient evidence to suggest that the tollbooths are used in equal proportions. e. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
The Centre of Student Experience (CSE) needs to know freshmen' average spending at UNIMY on campus supplies, food, stationery, and books. The CSE randomly study 100 freshmen studying on campus and their spending ranged between RM300-RM500 per month. Based on the above study, determine the following terms: vi. Measurement scale vii. Statistic viii. Parameter ix. Is research based on descriptive statistics or inferential statistics? Justify your answer. x. Is data collected from an observational study or an experimental study? Justify your answer.
Joan's Nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours). 2.4 t (to 3 decimals) 2.8 Select your answer - 2.2 Ho : μ Select your answer - 2 Ha - Select your answer - ✪ 2 b. Compute the sample mean. (to 2 decimals) c. Compute the sample standard deviation. (to 4 decimals) d. Find the test statistic and p-value. (Use Table 2 in Appendix B.) ✪ 2.7 1.7 1.5 With a 0.05 level of significance, test to see whether the mean tree-planting time differs from two hours. a. State the null and alternative hypotheses. 1.6 2.4 2.6 3.1 p-value e. What is your conclusion? We - Select your answer-reject the null hypothesis.…
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In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be inhaled while traveling on the bus during its usual 18-mile trip on congested freeways from South Central LA to a magnet school in West LA. Here are the amounts for the nine buses when driven with the windows open. 1.17 0.33 0.40 0.33 1.32 0.38 0.25 0.40 0.35 (a) Consider making a stemplot. Are there outliers or strong skewness that would preclude use of the t procedures? Which is correct? A. The sample is small and the stemplot is right skewed with possible outliers, so use of t procedures is not appropriate. b. The distribution is symmetric so use of t procedures is appropriate. c. The sample is small and the stemplot is left skewed with possible outliers, so use of t procedures is…
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Mean Squares, Treatment 0000 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 17 23 21 19 What conclusion can you draw after carrying out this test? - Select your answer - Manufacturer 2 28 26 31 27 + 3 18 17 21 20 The p-value is - Select your answer - What is your conclusion? - Select your answer - b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals).
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A bicycle manufacturer observes that the number of bike paths in a city affects the number of bicycles sold. The previous observations are given below. In order to realize the sale of 500 bicycles, how many bike paths should be constructed? Number of bike Number of bicycles paths sold 18 306 21 378 25 402 16 310 14 298 27 435 13 285 O a. 38.65 O b. 33.67 Oc. 10.33 Od. 17.72 O e. 10.68
A researcher is testing Xanax and uses a focus group where individuals are assigned to one of two groups and different doses of Xanax. He then gets the participants to learn a list of 20 numbers and three days later sees how many they can recall. In the experiment the dependent measure is simply the number of numbers recalled by each participant. What type of variable is this? a. Nominal b. Ratio c. Interval d. Ordinal

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