# Research on Usage of Computers on the ground floor in UOW library

Added on - 15 Jun 2021

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Report:Research on Usage of Computers on the ground floor in UOW library to verify whethermore computers are needed or not.Abstract:In our project we arefocused on analyzing the number of computers which have been occupied on theground floor in the UOW library. Here we have collected the data and conducted a one sample t-test tocome to the conclusion whether to accept the null hypothesis or to support the claim i.e. alternativehypothesis. After carefully calculating the test statistic’s value we find out that it is coming in therejection region so we conclude that we should support the claim and more computers should beprovided for the students on the ground floor of UOW library.Introduction:Now a days every library has computers as they help to keep track of student records and e-books are easily available where as to find a hardcopy of a book one has to spend time or it mayhappen that a particular book’s 3 copies are available in the library but all of them are issued insuch cases e-books are very much helpful and to use e-books one need to use computer.Here we have collected the data then analyzed it to come to the conclusion.The quantitative analysis part is written in the following format.At first we have described how we have collected the data, then we have given a sectiondescribing the statistical analysis , next we provided the output and results section. Further wehave given the formal report and lastly the references section is added.We have also provided a section in the last showing how further research can be done based onthis project.

Quantitative analysis:(1)Data collection :We have collected data on the number of computers which were busy during different times inthe library . We have collected total 20 data points which are presented in the following table.Note: We have taken observations on 90 computers on the ground floor in the UOW library.Reading NumberNumber of computers(Busy)Time1427:00 pm2368:21pm3704:00pm4902:10pm5475:45pm68711:31am7763:21pm88512:46pm9902:21pm108812:03pm11901:54pm12743:45pm138411:45am14723:25pm159012:44pm16525:21pm17456:47pm18684:14pm19743:38pm20882:31pmTable 1: Sample of 20 data on the number of computers which were busyduring different times in the libraryThe data was collected by carefully observing by myself, the number of computers which werebusy in different times on the ground floor in the UOW library. Herethe sample is a simplerandom sample from its population. Each individual in the population has an equal probability ofbeing selected in the sample.Note : we collect data with respect to time but for analysis purpose we(2)Statistical analysis:This is a case-control study.Here ourresearch task is to find out the usage of computers on the ground floor in the UOWlibrary and analyze it with one sample t-test.

Our research proposal was to find out whether more than 70% of the computers on the groundfloor in the UOW library are busy or not.Note that there are 90 computers on the ground floor in the UOW library. So 70% of that is0.7*90=63.Here we have a sample of 20 data points so we do not have the population number of computersthat are busy hence population standard deviation of the number of computers those are busy isunknown to us. Hence one-sample t –test is used otherwise we would have used one-sample ztest.Before working out with the one sample t-test we assume the following.Assumptions :1. The data are continuous .2. The data follow the normal probability distribution.3. The sample is a simple random sample from its population. Each individual in the populationhas an equal probability of being selected in the sampleHypothesis Test:The university authority’s belief is that 70% of the computers are occupied in the library andsuppose it is claimed by the library officials that more than 70% of the computers are occupied inthe library.Hence the hypothesis testing procedure is followed as below.a)Here we test ,H0:μ=63vsH1:μ>63H0,denotesNullhypothesiswhichisourpriorbeliefaboutourpopulation.H1,denotestheclaim,itisusuallyoppositeofNullhypothesis.μ,denotesthepopulationmeannumberofcomputersthatarebusyonthegroundfloor∈theUOWlibraryThis reflects our research problem.b) Using R-Studio we carry out the one sample t-test:R script:x=c(42,36,70,90,47,87,76,85,90,88,90,74,84,72,90,52,45,68,74,88)t.test(x,mu=63,alternative = c("greater"))sd(x)mean(x)

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