(a) and the Calculate the overall proportion of "tourists" (cars with out-of-state plates) standard deviation of proportions. Using a 95.45% confidence, calculate the LCL and UCL for these data. Draw the control chart? Is the process under control? Explain why. What type of variation is present? (b) (c) (d) (e)
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- Each of these columns of data represent a different soda bottling line, with the values representing the amount of soda per bottle in ounces. The business question being asked for each of the three comparisons is "do the two bottling lines bottle the same volume of soda on average, bearing in mind that the sample difference that you may observe could just be coincidence." What is the null hypotheses? Alternative hypothesis P value Alpha=0.05 Is it significant ? t-Test: Two-Sample Assuming Unequal Variances C7 C8 Mean 20.01679499870 20.59290905613 Variance 0.01032479977 0.01011215081 Observations 50.00000000000 50.00000000000 Hypothesized Mean Difference 0.00000000000 df 98.00000000000 t Stat 28.49610006164 P(T<=t) one-tail 0.00000000000 t Critical one-tail 1.66055121707 P(T<=t) two-tail 0.00000000000 t Critical two-tail 1.98446745451Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…A small, independent amusement park collects data on the number of cars with out-of-state license plates. The sample size is fixed at n=25 each day. Data from the previous 10 days indicate the following number of out-of-state license plates: Day Out-of-state Plates 1 6 2 4 3 5 4 7 5 8 6 3 7 4 8 5 9 3 10 2 Calculate the overall proportion of "tourists" (cars with out-of-state plates) and the standard deviation of proportions. Using 95% limits, calculate the LCL and UCL for these data. Is the process under control? Explain.
- A sample consists of 500 houses sold in Karachi between January 2020 and December 2020. The multiple linear regression analysis is carried out to predict the house prices for investment in residential properties in Karachi, Pakistan. The output below is produced using SPSS. (300 words) Table: Coefficients Model Unstandardized Coefficients t VIF Constant 14.208 5.736 Age of house -0.299 -2.322 1.58 Square footage of the house 0.364 2.931 1.71 Income of families in the area 0.004 0.392 1.01 Transportation time to major markets -0.337 -2.619 1.90 R2 = 0.67; DW = 2.08 Dependent Variable: House price (Pakistani rupees in Million) You are required to write the multiple regression How would you interpret the above ‘Output’ of a regression analysis performed in SPSS? From the above results, what can you say about the nature of autocorrelation? Is there multicollinearity in regression? How do you know?Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F p Regression 2 77.907 38.954 4.14 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 a-1. Determine the standard error of estimate. (Round your answer to 3 decimal places.) a-2. About 95% of the residuals will be between what two values? (Round your answers to 3 decimal places.) b-1. Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) b-2. Interpret the coefficient of multiple determination. (Round your answer to 1 decimal place.) Determine the coefficient of multiple determination, adjusted for the degrees of freedom. (Round your answer to 3 decimal places.) Prev Question 5 of 30 Total5 of 3There is a contractual provision between an automotive parts company and a supplier of the company that the acceptance level of a lot is AQL = 1.5%. After receiving a lot of N = 2500 parts and performing a double sampling plan, 4 non-conforming parts were identified in the first lot tested and 3 non-conforming parts in the second lot tested.Required:a. Identify the symbolization of the size of the lot sent and the size of the two lots of samples to be checked (n1 and n2).b. Identify the value of acceptance criteria A1, A2 and rejection criteria R1, R2c. State the decision to accept or reject the lot.
- Webster Chemical’s nominal weight for filling tubes of caulk is 8.00 ounces ± 0.60 ounces. The target process capability ratio is 1.33. The current distribution of the filling process is centered on 8.054 ounces with a standard deviation of 0.192 ounces. Compute the process capability ratios Cp and Cpk to assess whether the filling process is capable and set properly.The time to deliver packaged containers by a logistics company is found fromsamples of size 4. The mean and standard deviation of delivery times is estimated tobe 140 hours and 6 hours, respectively.(a) Find the 2 sigma and 3 sigma control limits for the average delivery time.(b) Explain a type I and type II error specifically in this context.(c) If the mean delivery time shifts to 145 hours, what is the probability of notdetecting this by the second sample after the shift?(d) What is the ARL? ExplainPlease calculate the sensitivity analysis of NPV increase in 10%, 30%, and 50%. NPV (current) natural forest 70141.71 protective forest 123582.50 agroforestry & terracing 263.11 Beekeeping 198275.14 Cookstoves 61490651
- Given the attached data. Answer the following questions for a 7 period moving average. t At 1 5477 2 3338 3 4799 4 2852 5 6332 6 8385 7 4382 8 4184 9 14229 10 10385 11 11676 12 5271 13 8938 14 9279 15 13990 16 2890 17 13027 18 8970 19 6700 20 7065 21 12491 22 8748 23 8396 24 6102 25 7559 26 7997 27 11981 28 10680 29 5783 30 2501 31 7620 32 10194 33 7908 34 11985 35 5863 36 3024 37 8758 38 1640 39 6569 40 11728 41 6659 42 2830 43 10018 44 8448 45 12409 46 2083 47 6374 48 7438 49 4576 50 4795 MAD = Average(|A-F|) TS =SUM(A-F)/MAD MSE = Average(A-F)2 1. Compute your forecast for period 51. The potential answers are: A: 11221.6 units. B: 12461 units. C: 8020.83 units. D: 4414 units. E: 6589 units.Mr. Ferdinand is a well known entrepreneur who sells fresh organic beef to persons in the localcommunity. Customers love the quality of meet that Mr. Ferdinand sells so they tend torecommend his product to other persons. Recently, Mr. Ferdinand has been running out of beefto sell to his customers. One customer suggests to him that he must use past sales records toforecast demand for his beef so that he can meet his customers demand. 1. Using a numerical example, demonstrate to Mr. Ferdinand how he can use a three-week and a four-week weighted moving average to forecast demand for his beef.Suppose that a new grocery store chain would want to know more about its inventories. Specifically, store management would like to determine which inventory items sell more than others, which inventory items require more floor space to place and display, and inventory arrival times from suppliers. What are some statistical measures that the company could use in their analysis? Be sure to provide at least 3 statistical measures that could be used, such as stem-and-leaf plots, histograms, standard deviation, mean, etc. Are there any other inventory concerns that the company may want to consider? Remember that this is a generic grocery store (and a new one at that), so there may be some things they have not yet considered.