Mathematics

Homeworkweek61(11.9pg.409)ThefollowingdatarepresentsthepriceofregulargasolineatselfservicestationsinfourcountiesinNewYorkCityMay17,2014ManhattenBronxQueensBrooklynnassauSuffolk2.3392.1992.2392.1592.0992.1792.2992.1392.2392.1992.1992.1592.2392.2392.1792.3592.2592.1192.1992.1592.2992.1592.2392.1592.1992.1792.2791.9992.2392.219At the .05 level of significance, is there evidence of a difference in the mean price of gasoline in the six countiesa. State the null hypothesis, state the alternative hypothesisb. using excel, analyze the gas data using the ANOVA:single factorc. explain your results comparing the F results to Fcritical and how this determines whether we can accept or reject Ho. What is your conclusion from this analysis.2. (12.5 pg. 452) A sample of 500 shoppers was selected in a large metropolitan area to determine various information concerning consumer behavior. Among the questions asked was “Do you enjoy shopping for clothing?” the results are summarized in the following contingency tableGENDEREnjoy Shopping for ClothingMaleFemaleTotalyes136224360no10436140Total24260500a. Is there evidence of a significant difference between the proportion of males and females who enjoy shopping for clothing at the .01 level of significance? Watch the video provided to do this problem in Excel.c. What is your answer to a) if 206 males enjoyed shopping for clothingClass Work week 6 problem.xlsx Class Work week 6 problem.xlsxFebruary 21 2020, 3:33 PM

Video link : https://www.dropbox.com/s/osgf0qw222dal1w/Wild_Planet.mov?dl=0What type of research design options and strategies are leveraged at Wild Planet?Are they using Exploratory, Descriptive or Causal Research Design techniques? What specific methodologies did you notice in the video?Is there anything further you would recommend for Wild Planet marketing management to give them the information to further grow their business?

“Assuming that in 2014, Broward County had 952 miles of paved roads. Starting in 2015, the County has been building 12 miles of new paved roads each year. At this rate, how many miles of paved road will Broward County have in 2030? (Assume that no paved roads go out of service and nothing block the project.).” What would be your approach to solve this problem? Elaborate. 250 words

1. A statistician has a sample X1, . . . , Xn from N(µ, ? 2). Also, the statis-tician has a sample Y1, . . . , Yk from an exponential distribution with param- eter ?. Suppose that these samples are independent. Find the variance of a random variable Z = 3X? ? 5Y? .2. Let a sample of size n from a distribution with the pdf f(x) be given. What is the pdf of X(1)?3. Let X1, . . . , Xn be independent RVs with E?(Xl) = l?. Consider an es- timator ?? =?n l=1 alXl. What condition should be imposed on a1, a2, . . . , anso that ?? is an unbiased estimator? 4. Let X1, . . . , Xn be iid Bernoulli with the probability of success ?. Sug-gest the minimal variance unbiased estimator, and then prove, using Cramer- Rao inequality, its efficiency.5. Consider a sample of size n from Unif(?, ?). Find (minimal) sufficient statistic for the pair (?, ?).6. Consider a sample of size n from Unif(0, ?). Find a method of mo- ments estimator of ?.7. Let we observe a sample X1, . . . , Xn where Xl = ? + Yl, with Yl being iid Expon(?). Find the MLE of ?. Hint: Do not forget about support of the exponential RV.8. For the problem 7, let ? be given. Find the MLE of cos(?). 9. Consider a sample of size n from Poisson(?). Find a method ofmoments estimator for the estimand ?2. 10. Let a sample of size n from N(?, ?2) be given. A statistician believes

This assignment is intended to help you learn how to apply statistical methods when analyzing operational data, evaluating the performance of current marketing strategies, and recommending actionable business decisions. This is an opportunity to build critical-thinking and problem-solving skills within the context of data analysis and interpretation. You’ll gain a first-hand understanding of how data analytics supports decision-making and adds value to an organization.Scenario:Pastas R Us, Inc. is a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. Since its inception, the business development team has favored opening new restaurants in areas (within a 3-mile radius) that satisfy the following demographic conditions:Median age between 25 – 45 years oldHousehold median income above national averageAt least 15% college educated adult populationLast year, the marketing department rolled out a Loyalty Card strategy to increase sales. Under this program, customers present their Loyalty Card when paying for their orders and receive some free food after making 10 purchases.The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded $2 million in sales last year, then it sold $1,667 per sq. ft.Executive management wants to know whether the current expansion criteria can be improved. They want to evaluate the effectiveness of the Loyalty Card marketing strategy and identify feasible, actionable opportunities for improvement. As a member of the analytics department, you’ve been assigned the responsibility of conducting a thorough statistical analysis of the company’s available database to answer executive management’s questions.Report:Write a 750-word statistical report that includes the following sections:Section 1: Scope and descriptive statisticsSection 2: AnalysisSection 3: Recommendations and ImplementationSection 1 – Scope and descriptive statisticsState the report’s objective.Discuss the nature of the current database. What variables were analyzed?Summarize your descriptive statistics findings from Excel. Use a table and insert appropriate graphs.Section 2 – AnalysisUsing Excel, create scatter plots and display the regression equations for the following pairs of variables:In your report, include the scatter plots. For each scatter plot, designate the type of relationship observed (increasing/positive, decreasing/negative, or no relationship) and determine what you can conclude from these relationships.Section 3: Recommendations and implementationBased on your findings above, assess which expansion criteria seem to be more effective.Could any expansion criterion be changed or eliminated? If so, which one and why?Based on your findings above, does it appear as if the Loyalty Card is positively correlated with sales growth? Would you recommend changing this marketing strategy?Based on your previous findings, recommend marketing positioning that targets a specific demographic. (Hint: Are younger people patronizing the restaurants more than older people?)Indicate what information should be collected to track and evaluate the effectiveness of your recommendations. How can this data be collected? (Hint: Would you use survey/samples or census?)

If I have two Products (Product A and Product B) and I want to ship these products to customers as follows:Product A (# of units: 4000)Product B (# of units: 4000)The products must be shipped through using Pallets.Each Pallet can hold 1000 units of Products A or 2000 units of Product B.Transportation cost for both Products (A and B) is the same. $1 dollar per pallet.Question: How many pallets I need to ship theses products? What is the final price the customer must for shipment?

CHAPTER 5: A SURVEY OF PROBABILITY CONCEPTSVideo #29: How to build a contingency table with Pivot table (Length: 3:40)Video #30: How to use Permut and Combin formulas (3:47)Video #31: How to apply Bayes Theorem (Length: 4:33CHAPTER 6: DISCRETE PROBABILITY DISTRIBUTIONSVideo #32: How to build and graph discrete probability distribution (Length: 3:36)Video #33: How to apply binomial distribution (Length: 4:48)Video #34: How to apply hypergeometric distribution (Length: 4:41)Video #35: How to apply Poisson.dist (Length: 3:31)

Make sure you look and see if you are able to do it! Adjust accordingly if needed.  IBM SPSS STATISTICS REQUIRED.  Chapters 7 and 8

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.Write and simplify a function P that represents the profit made from selling x bracelets.How many bracelets must the company sell to break even?

2x=7-5 2X=2 X=2/2 X=1