(Source: The 2014 Digital Marketer, available at ex.pn/1kXJifX.) R&R Case Solution, Outlines alternative mechanisms for getting into business. One part, providing the rejection of H0, known as Critical Region. X’s output for the month is the total of these sums assured, £61,500. frequency distribution of sample statistic. R & R Case Case Solution,R & R Case Case Analysis, R & R Case Case Study Solution, Critical Analytical Task/Results The first step that is necessary to analyze the critical issues required in the evaluation of a business atmosphere of Major HBR cases concerns on a whole industry, a whole organization or some part of organization; profitable or … This is known as the problem of Significant Testing or Testing of Hypothesis. So, we require data to make decisions and to answer the business/functional questions. USE THIS CASE STUDY TEMPLATE . The Samples are said to be dependent or paired. Tips and advice on how to protect you and your business. One degree of freedom has been sacrificed for estimating population s.d. Appraisal Development Mobile App Company. Actually, it is rare to have access to information from all the members connected with the situation. Plastics Case Solution. μd = μ2 – μ1 H0: μd = 4000HA: μd > 0, H0 will be rejected if test statistics > t_critical.With α = 0.05 and df = 29, critical value for t statistic (or t_critical ) will be 1.699127.Hence, H0 will be rejected for test statistics ≥ 1.699127.Hence, H0 will be rejected if for ̅ ≥ 4368.176, Probability (type II error) is P(Do not reject H0 | H0 is false) Our NULL hypothesis is TRUE at μd = 0 so that H0: μd = 0 ; HA: μd > 0 Probability of type II error at μd = 5000, = P (Do not reject H0 | H0 is false)= P (Do not reject H0 | μd = 5000) = P (̅ < 4368.176 | μd = 5000)= P (t < | μd = 5000)= P (t < -0.245766)= 0.4037973, R Code:Now, β=0.5934752,Power of test = 1- β = 1- 0.5934752= 0.4065248. (The critical regions are shown as shaded portions in the figure). If hypothesis defines the distribution completely, it is known as Simple Hypothesis, otherwise Composite Hypothesis. The client wanted to drive individual performance cohesively towards shared business objectives. (The critical region is shown as a shaded portion in the figure). Indian (Anglo Saxon) Judicial System considers type I error to be critical so it will have low α for this case. Search Paper on caseforest database. It identifies the issues or gap between the current and desired type of the organization, and thus requires to be stated in order for the management to look for change. Let μ2 = Average sums assured by salesperson AFTER changeover. It is assumed that you are familiar will all of the commands discussed throughout this tutorial. Hypothesis Testing: Hypothesis testing a rule or statistical process that may be resulted in either rejecting or failing to reject the null hypothesis (H0). H0 will be rejected if test statistics > t_critical. 2. it didn’t result in significant increase in sales, provided all other extraneous factors remain the same. μ1 = Average sums assured by salesperson BEFORE changeover. Two-tailed test could have been used if it was asked “new scheme has significantly, Mean of amount assured before the introduction of scheme = 68450, Mean of amount assured after the introduction of scheme = 72000, Difference in mean = 72000 – 68450 = 3550, μ1 = Average sums assured by salesperson BEFORE changeover. Here, we take an example of Testing of Mean: This step is used to define the problem after considering the business situation and deciding the relevant hypotheses H0 and H1, after mentioning the hypotheses in the business language. Since p-value (=0.06529) is higher than 0.05, we accept (fail to reject) NULL hypothesis. μd = μ2 – μ1 H0: μd ≤ 5000 HA: μd > 5000, Let μ2 = Average sums assured by salesperson AFTER changeover. Knowing about the population-values on the basis of data from the sample. P-value = 0.64992.c. You can easily search for a related questions in a category. (n1+n2-2). Since p-value (=0.06529) is higher than 0.05, we accept (fail to reject) NULL hypothesis. Today, Heineken is the number one brewer in Europe and the number two brewer in the world. (s). So, it may be mentioned that the level of significance (α) is the maximum threshold for p-value. Examining the declaration/perception/claim about the population for its correctness on the basis of sample data. Here, both the outputs for Equal Variance (assumed) and Unequal Variance (assumed) are presented. Heineken have operations in over 70 markets globally, which makes them the world’s most international brewer. This article makes you familiar with some methods to solve a case study in Management. Table 1 shows the outputs of the salespeople in Table 1. This denotes how likely is the result that we have observed. Each sample may provide a value of sample statistic, so there will be a distribution of sample statistic value from all the possible samples i.e. A sample of size ‘n’ has been drawn for a normal population N (µ, σ), but population standard deviation σ is unknown, so in this case σ will be estimated by sample standard deviation(s). This is known as Census or Complete Enumeration and the ‘totality’ is known as Population. We are considering sample mean (x̄) as the sample statistic. He has co-authored the famous book "Statistics for Management" (ISBN: 978-93-325-8118-0; Person Publications). Harvard Business Case Studies Solutions - Assignment Help. Here, the difference is too small to reject the claim under H0 since the chances (probability) of happening of such a random sample is quite large so we will retain H0. Case Study The HRM case study with a solution which focuses on the importance of communication in the organization. For example, if we want to estimate average sales of 1000+ outlets of a retail chain and we have taken a sample of 40 outlets and sample mean (estimator) x̄ is 40000. Hence, less will be the confidence that we may place on the value of the statistic for estimation purposes. When x̄ is significantly above the hypothesized population mean µ0 then H0 will be rejected and the test used will be right tailed test (upper tailed test) since the critical region (denoting rejection of H0 will be in the right tail of the normal curve (representing sampling distribution of sample statistic x̄). t = {(x̄1 – x̄2) – (µ1– µ2)}/{√ (s21/n1 +s22/n2)}. Heineken – The Progressive Company Heineken is a proud independent and responsible global brewer. Power of the test.Solution:Let μ2 = Average sums assured by salesperson AFTER changeover. The test is the statistical rule/process of deciding to ‘reject’ or ‘fail to reject’ (retain) the H0. 1-Description of Industry Analysis:-The furniture industry was highly competitive. What is the p-value of the hypothesis test if we test for a difference of $5000?Solution:Let μ2 = Average sums assured by salesperson AFTER changeover.μ1 = Average sums assured by salesperson BEFORE changeover.μd = μ2 – μ1 H0: μd ≤ 5000 HA: μd > 5000This is a right tail test. Shows the means by which an experienced entrepreneur can gain control of the resources necessary. It's actually hard to resist the temptation to speed things up when it has to do with R R Case Case Solution. It is equal to type I error, as discussed earlier. Normally, the value of α is taken as 5% in most of the analytical situations (Fisher, 1956). Weekend challenge #11. 82% of marketers use case studies in their marketing, because it’s such an effective tool to help quickly gain customers trust, and to showcase the potential of your product.. By creating a case study you’re telling potential customers that they can trust you, because … LinkedIn. So they are estimated by sample standard deviations (s1 and s2) from the respective two samples. So, there have not been sufficient reasons to Reject H0 i.e. Alternative Hypothesis (H1): The hypothesis opposite/complementary to the Null Hypothesis. This is a case study written by Hugh McElroy, which is being designed for each year's With α = 0.05 and df = 29, critical value for t statistic (or t_critical ) will be 1.699127. If we minimize one, the other will increase and vice versa. having heavier tails. On comparing the observed value of Test statistic with that of the critical value, we may identify whether the observed value lies in the critical region (reject H0) or in the acceptance region (do not reject H0) and decide accordingly. Google+. Note: Here, two points are needed to be considered. R&R Case Study Solution case analysis, R&R Case Study Solution case study solution, R&R Case Study Solution xls file, R&R Case Study Solution excel file, Today, we are announcing the release of R&R Case Study Solution. C.R. R&R case study solution, R&R case study analysis, Subjects Covered Capital costs Development stage enterprises Entrepreneurship by Howard H. Stevenson, Jose-Carlos Jarillo Mossi Source: HBS Premier Case … Case studies are often a good choice in a thesis or dissertation. (c) Power of the test:Solution:2.a. Here are just a few examples of how Solutions for HR has helped. It allows you to explore the key characteristics, meanings, and implications of the case. σ is not known (it is a very common situation in all the real life business situations), we estimate population s.d. Obv.iously, this will generally give the most optimum results with maximum correctness but this may not be always possible. We are considering the random variable X = Quarterly sales of the sales executive working in a big FMCG company. If ‘Two Independent Samples t-Test’ and ‘Paired t-test’ are applied on the same data set then two tests will give much different results because in case of Paired t-Test, standard error will be quite low as compared to Two Independent Samples t-Test. It is a measure of the extent of variation among different values of statistics from different possible samples. C.R. This belongs to the Confirmatory Data Analysis, as to confirm or otherwise the hypothesis developed in the earlier Exploratory Data Analysis stage. The standard deviation of sampling distribution of a sample statistic is better known as the Standard Error of the sample statistic. In this case, if x̄ is significantly below the hypothesised population mean µ0 then H0 will be rejected and the test used will be the left tailed test (lower tailed test) since the critical region (denoting rejection of H0) will be in the left tail of the normal curve (representing sampling distribution of sample statistic x̄). μ2 = Average sums assured by salesperson AFTER changeover.H0: μ1 = μ2 ; μ2 – μ1 = 0HA: μ1 < μ2 ; μ2 – μ1 > 0 ; true difference of means is greater than zero.Since population standard deviation is unknown, paired sample t-test will be used. We’ll keep you up to date with all the latest in employment law and HR. Get Free Case Studies Solutions related to business, management, marketing and more | Best Case Study Examples and Answers | Learn How to Write a Case Study He specializes in games for adults and in 1959 he founded his own business as an independent representative of manufacturing in the same astronautically, specializing in games for adults. For this purpose, F test can be employed as: Two samples of sizes n1 and n2 have been drawn from two populations respectively. Life Insurance companies typically measure the monthly output of a salesperson as the total sum assured for the policies sold by that person during the month. So the issue is not the difference but actually the magnitude of difference. Plastics Case Study Help - Case Solution & Analysis Case Solutions. CASE STUDY 10 SOLUTION BY A PRODUCT MANAGEMENT ASPIRANT. Answers are rated by visitors and the best rated answer will be displayed as the best answer for a question. Students are not sure about which method they have to follow. The agreement with the sales force is that if the scheme does not at least break even for the company, it will be abandoned after six months. So, due to practical considerations, we take up a representative subset from the population, known as Sample. Each sample has “n” paired observations. Know More, © 2020 Great Learning All rights reserved. Where Sp2 is the pooled estimate, given by: So, the corresponding Test Statistics will be: t = {(x̄1 – x̄2) – (µ1– µ2)}/{√ Sp2(1/n1 +1/n2)}. (σ) by sample s.d. So, the Hypotheses: Descriptive table showing the sample size n = 60, sample mean x̄=72.02, sample sd s=9.724. Descriptive table showing the sample size n=60, sample means x̄1=72.02 and x̄2=72.43. So, we have to figure out whether we should go for ‘equal variance’ case or for ‘unequal variances’ case. Then, sampling distribution of sample statistic x̄ will follow the student’s t distribution (with degree of freedom = n-1) having mean µx̄ = µ and standard error σx̄ = s/√n. Alternatively, the sample statistic is a random variable, being a function of sample values (which are random variables themselves). Here, test statistic value (from the sample) is t = -2.376 and the corresponding p-value (2 tailed) = 0.021 <0.05. According, sampling distribution of the statistic (x̄1 – x̄2) will follow Normal distribution with mean µx̄ = µ1– µ2 and standard error σx̄ = √ (σ²1/ n1 + σ²2/ n2). Depending on method of collection data for the two samples, samples may be termed as independent or dependent samples. Paired t-Test (Testing Difference between Means with Dependent Samples): We continue with the example of Ventura Sales, and want to compare the average first quarter sales with the second quarter sales. – By Dr. Masood H. Siddiqui, Professor & Dean (Research) at Jaipuria Institute of Management, Lucknow. R&R case study #1 And for Parker Bros & Milton Bradley ? So, we have evidence (data) from the sample and we need to decide for the population on the basis of that data from the sample i.e. A random sample of 20 deliveries on a particular day was selected each from Wing A and Wing B of the hotel. Two samples of size n1 and n2 have been taken randomly from the two normal populations respectively and the corresponding sample means are x̄1 and x̄2. As discussed earlier, in the situation of Before-After Tests, to examine the impact of any intervention like a training program, health program, any campaign to change status, we have two set of observations (xi and yi) on the same test unit (respondent or units) before and after the program. At most, Hypotheses may be rejected or retained. Great Learning is an ed-tech company that offers impactful and industry-relevant programs in high-growth areas. A long-running love requires a lot of commitment and a lot of emotional investment from the audience. In this case, the two tailed test will be applicable because there will be two critical regions (denoting rejection of H0) on both the tails of the normal curve (representing sampling distribution of sample statistic x̄). Example: In Indian Judicial System we have H0: Under trial is innocent. Played with groups of 3 to 5 parti Harvard Case Studies. Displays the means by which an experienced contractor can take control of the resources needed to re interested in examining the difference between two population parameters. H0 should be retained. The probability of a type 1 error?Solution: Probability of Type I error = significant level = 0.05 or 5%2.b. Hence, H0 will be rejected for test statistics ≥ 1.699127. 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