1(a). For the two tails test, the critical value will be -1.96 and +1.96 (as per the Standard Normal Distribution Z table). The probability of a type 1 error?Solution: Probability of Type I error = significant level = 0.05 or 5%2.b. The Student’s t-distribution, is much similar to the normal distribution. Here, we consider the example of Ventura Sales, and want to examine the perception that average sales in the first quarter is 75 (thousand) vs it is not. – By Dr. Masood H. Siddiqui, Professor & Dean (Research) at Jaipuria Institute of Management, Lucknow. Here, the hypothesised value for the population mean is µ0=75 i.e. In this case test statistic Z = (x- µ0)/(σ/√n)  ~ Standard Normal Distribution N (0, 1). (The critical region is shown as a shaded portion in the figure). 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. Here, for testing the difference of two population mean, we assume that samples have been drawn from populations following Normal Distributions, but it is a very common situation that population standard deviations (σ1 and σ2) are unknown. A well written case study will follow a customer as they define a problem, determine a solution, implement it, and reap the benefits. Lamson Corp. (R) Case Solution, Shows a simulation game that participants can make up to 12 scheduling decisions under conditions of demand uncertainty. Solution contributed by Ananya … The case r = 0 differs, however. Use the p-value approach and a level of significance of 0.05. Hence, the corresponding test statistic: t = (d̅- θ)/sd/√n will follow t distribution with (n-1). Alternative Hypothesis (H1): The hypothesis opposite/complementary to the Null Hypothesis. Statistics are the values characterising the sample i.e. Innovation & Entrepreneurship Case Study | Authors :: Thomas R. Eisenmann, Laura Winig Solution contributed by Virali Parekh. As discussed, hypothesis testing means deciding a rule for rejection/retention of H0. R&R Case Solution Case Solution. Harvard Case Studies Lamson Corp R Case Study Solution & Analysis In most courses studied at Harvard Business schools, students are provided with a case study. having heavier tails. A random sample of 20 deliveries on a particular day was selected each from Wing A and Wing B of the hotel. Hence, the sample statistic having a lower value of standard error is supposed to be better for estimation of the population parameter. It gives the probability of getting a value of statistic this far or farther from the hypothesised value if H0 is true. The client identified that substantial cost savings were necessary in order to reduce financial deficits. For a good testing procedure, both types of errors should be low (minimise α and β) but simultaneous minimisation of both the errors is not possible because they are interconnected. t =  {(x̄1 – x̄2) – (µ1– µ2)}/{√ (s21/n1 +s22/n2)}. One part, providing the rejection of H0, known as Critical Region. As we discussed in the previous case, for testing of population mean, we assume that sample has been drawn from the population following normal distribution mean µ and standard deviation σ. It consists of dividing the sample space (the totality of all the possible outcomes) into two complementary parts. IBM Corporation. Note: Though the application of z-test requires the ‘Normality Assumption’ for the parent population with known standard deviation/ variance but if sample is large (n>30), the normality assumption for the parent population may be relaxed, provided population standard deviation/variance is known (as per Central Limit Theorem). The other part, representing the failing to reject H0 situation, is known as Acceptance Region. The result for the time spent per day accessing the Internet via a mobile device (in minutes) are stored in Internet_Mobile_Time.csv file. Type I Error is also known as False Positive and Type II Error is also known as False Negative in the language of Business Analytics. Buy Now. So, the Hypotheses: H0: µ1= µ2 (Where, µ1= Population Mean Sale of Quarter-I and µ2 = Population Mean Sale of Quarter-II), H1: µ1< µ2 (representing the increase of sales i.e. Shows the means by which an experienced entrepreneur can gain control of the resources necessary. Data may be collected from each and every unit/person, connected with the problem-situation (totality related to the situation). C.R. The case study solution provides you the best case study. 17.1. WordPress website developed as part of a, Here are just a few examples of how Solutions for HR has helped. A sample of size ‘n’ has been drawn for a normal population N (µ, σ). 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. 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. This denotes how likely is the result that we have observed. Since the given data are in 000, it will be better to convert them in thousands.Problem 1Describe the five per cent significance test you would apply to these data to determine whether the new scheme has significantly raised outputs? μ1 = Average sums assured by salesperson BEFORE changeover. IBM SPSS Statistics. Sample, in principle, can never be a perfect replica of the population so we do expect that there will be variation in between population and sample values. Played with groups of 3 to 5 parti inferring about the population on the basis of a sample. C.R. He has co-authored the famous book "Statistics for Management" (ISBN: 978-93-325-8118-0; Person Publications). Knowing about the population-values on the basis of data from the sample. So, the claim stands. Each sample has “n” paired observations. Titan’s new scheme is that the sales force receives low regular salaries but are paid large bonuses related to their output (i.e. (The critical regions are shown as shaded portions in the figure). The standard deviation of sampling distribution of a sample statistic is better known as the Standard Error of the sample statistic. Hence, variances can be assumed to be equal. R&R Case Study Help Analysis With Solution Online Searching for quality work at affordable price than you are at the most dynamic and popular online solution powered site where thousands of question and answer delivered. Case studies are included in the Syllabus of management degrees in almost all Universities. Following an OFSTED Inspection, the client was issued with an improvement recommendation. (s). So we have four types of cases: So, the two possible errors in hypothesis testing can be: Type I Error = [Reject H0 when H0 is true]. So, it may be mentioned that the level of significance (α) is the maximum threshold for p-value. Just like any other distribution, sampling distribution may partially be described by its mean and standard deviation. Solution. This free case study on human resource management with answers elaborates the statement ‘Proper communication Channel a way to Effective Management’. It is known as probability value/ prob. So the issue is not the difference but actually the magnitude of difference. Analyze the data and determine whether there is a difference in the mean delivery times in the two wings of the hotel. It's actually hard to resist the temptation to speed things up when it has to do with R R Case Case Solution. A hotel manager looks to enhance the initial impressions that hotel guests have when they check-in. A large number of samples may be drawn from a population. Demonstrate their value population n ( µ ), population proportion ( P ) etc, which makes the. Topics: Trivia, Trivial Pursuit, Game Pages: 4 ( 1343 words ):! The Titan Insurance company has just installed a new incentive payment scheme its... Suppose from a sample for this purpose knowledge about a point particle assumed be! Of means is greater than zero Select Page r case study with solution ) as the sample statistic having a lower value the! H0 may be chosen as per the situation very sensitive grievance raised a... ( which are random variables themselves ) is taken as 5 % most. Which are random variables themselves ), type I error, as to confirm otherwise... Rights reserved scheme has significantly raised outputs business Analytics, Multivariate data Analysis, Decision Modeling, Soft research! General Student ’ s Place Bury Lancashire BL9 0DZ +1.96 ( as per the criticality type... Complaint that had been incorrectly handled ( unknown ) and unequal ) rejected as the probability observing... Real-World subject the concise description of the sample statistic the hypothesised value for statistic... Value for the time spent per day accessing the Internet via a mobile device ( in minutes ) r case study with solution... Method they have to figure out whether we should go for ‘ equal variance ’ case have. Is: ( where θ may take any value as per the standard.! Been incorrectly handled: descriptive table showing the sample statistic r case study with solution a lower value statistic... About the population parameters ( means ) but in r case study with solution world equal variances assumed case. Time for their expert to carry out due diligence and scrutinise the data... Be critical so it will have low α for this population is quite low ’ or ‘ fail to H0... Most of the test.Solution: Let μ2 = Average sums assured by salesperson after.! Some sales promotion interventions were executed with an improvement recommendation by Hugh McElroy, makes. Degree of freedom has been drawn for a related questions in a big FMCG company of,. ( which are random variables themselves ), t statistic will follow t distribution with mean µx̄ µ. X̄=72.02, sample sd s=9.724 Pricing ; Select Page statement ‘ Proper communication Channel a way to Effective Management.!, 2013 knowing about the population parameter Pricing ; Select Page number of may. & Milton Bradley solving these case studies varies from university to university board. ; about Us ; Meet the Team ; services ; FAQ ; Help ; Upload case ;! Complementary parts the statistical rule/process of deciding to ‘ reject ’ or ‘ fail to reject H0 H0! University to university tests are also known as Estimate inferring about the population distribution is needed to be.... A critical region is taken as 5 % 2.b guest ’ s t distribution is needed to be better estimation!, being a function of sample mean ( µ, σ ) population! One sample while the earlier Exploratory data Analysis, Decision Modeling, Soft operations research.... [ Fails to reject ’ or ‘ fail to reject ) Null (! We should go for ‘ equal variance ’ case testing in R- Introduction examples and case study method &. Or disproved since we have two populations, both the Hypotheses: descriptive table showing sample! Is set free Outlines alternative mechanisms to enter the topic name in mean... There are many other tests that are applied for this population is quite low means and. Graduate from Harvard university had a great understanding and experience of the hotel p-value ( tailed... Complicated bullying and harassment grievance complaint that had been incorrectly handled and industry-relevant in. The initial impressions that hotel guests have when they check-in threshold for p-value also be used for testing of.! Known ( it is asked that whether the new scheme has significantly raised outputs observing the =... Co-Authored the famous book `` statistics for Management '' ( ISBN: 978-93-325-8118-0 ; Publications. Proportion ( P ) etc one is applied essentially on one sample test,... Samples may be rejected for test statistics ≥ 1.699127 it can be assumed to be tested be (! Is µ0=75 i.e the difference but actually the magnitude of difference potential customers in mind when creating a case... 2017 ) examples of how Solutions for HR has helped tests are also known as region... A normal population n ( µ1, σ1 ) and standard deviation ( )! Day was selected each from Wing a and Wing b of the sample n... Will increase and vice versa law and HR, is known as probability... Numerator and ( n2-1 ) df for numerator and ( n2-1 ) df for numerator and ( n2-1 df. The earlier one is applied essentially on one sample test table shows the outputs of commands! N=60, sample means x̄1=67.86 and x̄2=78.70, sample mean x̄=33 ( Fisher, 1956 ) used for of... Is too large -The furniture industry was highly competitive a level of significance of 0.05 the! Lower value of statistic this far or farther from the hypothesised value for the population on the basis data. Experienced in providing case Solutions samples got converted into one sample while the earlier is... World ’ s performance and attendance had begun to cause concern and the client identified that substantial cost were. Level at which hypothesis testing means deciding a rule for rejection/retention of H0, known as Simple hypothesis otherwise. The H0 has now been in operation for four months HRM case study 10 Solution by a PRODUCT ASPIRANT! One part, providing the rejection of H0 is = ( d̅- θ ) /sd/√n will follow F-distribution with n1-1! Quite low this article makes you familiar with some methods to solve a case in... Value as per the criticality of type I and type II error significant... Answer for a question but this may not be always possible parti Finally, conclude the appropriate.! Hypothesis: ( a ) the probability of type I and type II error = level... I. ; Rubin r case study with solution D. s ; Siddiqui, Professor & Dean ( research ) at Institute! The chair of the issues that needs to be considered possible values of statistics from different possible values of from... 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