**Problem 6**An aircraft manufacturer needs to buy aluminum sheets with an average thickness of 0.05 inch. Due to the manufacturer’s production philosophy, it requires a particular quantity of aluminum sheets to be delivered on time with a short lead time of no more than four days (time between when the manufacturer places the order for aluminum and when that order arrives from the supplier). The manufacturer is considering an aluminum supplier but is concerned with the supplier’s ability to meet lead time. The supplier provided a sample of lead times required to fill order sizes similar to what the manufacturer expects, provided in hours below.88, 97, 104, 98, 88, 103, 104, 92, 95, 102a. Use the p-value approach to determine if the aircraft manufacturer should buy aluminum sheets from the supplier based on average lead time. Assume 90% confidence to draw a conclusion.b. For which values of the sample mean would the aircraft manufacturer decide to buy sheets from this supplier, assuming α = 0.05?**Explanation of Text**The problem involves statistical analysis to determine if an aircraft manufacturer should purchase aluminum sheets from a supplier based on lead time data. The manufacturer seeks deliveries with an average lead time of no more than four days and has a sample data set of lead times from the supplier. The tasks involve:- **Part a:** Performing a hypothesis test using the p-value approach to check if the average lead time meets the required standard at a 90% confidence level.- **Part b:** Identifying sample mean values under which the manufacturer would decide to proceed with purchasing, using a significance level (α) of 0.05.

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Answered: ft manufacturer needs to buy aluminum…

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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FACTORS FOR I AND R CONTROL CHARTS Observations in Sample, n dz A2 dz D3 D4 2 1.128 1.880 0.853 3.267 3 1.693 1.023 0.888 2.574 4 2.059 0.729 0.880 2.282 5. 2.326 0.577 0.864 2.114 6. 7. 2.534 0.483 0.848 2.004 2.704 0.419 0.833 0.076 1.924 8. 2.847 0.373 0.820 0.136 1.864 2.970 0.337 0.808 0.184 1.816 10 3.078 0.308 0.797 0.223 1.777 11 3.173 0.285 0.787 0.256 1.744 12 13 3.258 3.336 3.407 0.266 0.249 0.235 0.778 0.770 0.763 0.283 1.717 0.307 1.693 1.672 1.653 14 0.328 15 3.472 0.223 0.756 0.347 3.532 0.212 0.750 0.744 0.739 0.363 0.378 0.391 16 1.637 17 18 3.588 0.203 1.622 3.640 0.194 1.608 19 20 3.689 3.735 0.187 0.734 0.403 1.597 0.180 0.729 0.415 1.585 21 22 3.778 3.819 1.575 1.566 0.173 0.724 0.425 0.434 0.167 0.720 23 24 25 3.858 3.895 3.931 0.162 0.157 0.153 0.716 0.712 1.557 1.548 0.443 0.451 0.708 0.459 1.541
State the type of variable in each of the following cases 1- 5.1. The weight (Kg) of an Amazon package.2. The stress level (Low, Average, High) of a student taking this exam.3. The number of Long Covid-19 patients in England in 2021.4. Type of vaccine (Pfizer, AstraZeneca, Moderna).5. The annual profits (£m) of the JSA company in 2021.Your answer should be A, or B or C or D, where A, B, C, and D are defined asfollows:A. Numerical and DiscreteB. Numerical and ContinuousC. Categorical and NominalD. Categorical and Ordinal
B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 F 38.83 t(df=28) 3.755 6.231 a) Write out the regression equation. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? b) How much damage would you estimate for a fire 5 miles from the nearest fire station?
Please review Section 11.1. Are you an impulse shopper? A survey of 800 grocery shoppers indicated that 36% of males and 42% of females make an impulse purchase every time they shop. Assume that the survey consisted of 400 males and 400 females. Let group 1 be the males and let group 2 be the females. a = 0.01 H, :T, = R, H :, # R, Calculate the test statistic: (Round to three decimal places as needed.) Determine the critical value: (Round to three decimal places as needed.) State the Conclusion: Please review Section 12.2. An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8 one-bedroom apartments and the data are shown. Size (Square Feet) Monthly Rent ($) 875 1550 850 1350 950…
Please review Section 11.1. Are you an impulse shopper? A survey of 500 grocery shoppers indicated that 16% of males and 42% of females make an impulse purchase every time they shop. Assume that the survey consisted of 250 males and 250 females. Let group 1 be the males and let group 2 be the females.alpha = 0.05H0: pie = pieH1: pie not = pie Calculate the test statistic: (Round to three decimal places as needed.)Determine the critical value: (Round to three decimal places as needed.)State the Conclusion:
10. An engineering study was undertaken to determine the optimum thickness of aluminum to be used to construct cans to be used for cat food. Cans made of aluminum of thickness 2.10 mm and 1.90 mm were tested to determine the maximum load each would sustain before collapsing. The sample data is summarized below. Use a = 0.05 to test the claim that the thicker cans are stronger (will withstand a higher load). 2.10 mm thick 1.90 mm thick sample size 175 170 mean maximum load (kg) 28.18 26.71 standard deviation of maximum load (kg) | 2.78 2.21
2.) Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute. What is the average time a customer spends in the system? Take your answer to three decimal places. Omit the units in your answer.
Your company manufactures plastic wrap for food storage. The tear resistance of the wrap, denoted by X, must be controlled so that the wrap can be torn off the roll without too much effort but it does not tear too easily when in use. In a series of tests (see data table below), 15 rolls of wrap are made under carefully controlled conditions and the tear resistance of each rool is measured. The results are used as the basis of a quality assurance specification. If X for a subsequently produced roll falls more than two standard deviations away from the test period average, the process is declared out of specification and production is suspended for routine maintenance. Roll 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 X 134 131 129 133 135 131 134 130 131 136 129 130 133 130 133 a)What is the mean tear resistance? Enter your answer to the correct number of significant figures. b)What is the…

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