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RS-055 28000年7765503X09005525903001190875E991999805275019255665999891566564191448393384628755640089892772766038475259681398968732281763839452715553764607883569238295660729476370370633871999658589690273439491382914535771110834941394892346355644547643615875257798373677623492605768669302403963254557756522629972315041090786547692801794366817741432652647769471286856178568565128136319957130241227730944345349411681970264962108623927332091289029057660989814834516394978899362097833676679050503196341342394276894003934429790143667313149122242681927424756568261136319585955003326430917739180416763093159764951147978819133469666956096683829277239636753306586692778214612018841999183473143659094597128722062117629659639704530939943009682280289379328467847403408816368424566423880271147894352130146121422130392824070837402440999201027470283137551654609808975309784677341393630079300690892524069530229816082631832392952018112917855685630321709854737735333099155862272709940042033956597110932955500402094034127656596521903296724500343078528504547290474305461940399733835238724773137324779352677637178064685414852255952702324456095398097717182452433242034317166689595273065949303602326603900509803978388835853225072560170060636401818491834723823916500512616367566862554983875243897624680667738315132564209893497978951475047689736700624636327394662598832867880302538051698535742053497345013213444723538058699970917169699604277485257383580070355901619987677047676841133069495655631316985055640129746863946601259997123648736247636683743100339002218276857178549339334595262181284151797649733693050299485570209092509246861921393018578875883158968637999509347719156015297715209959751700873365439208715488467881137350033849616268892426986372485377968150798048789354492995825412371541081804366697451193014121211668549463114722948282655200879023987400348770683443795507302351881070267542778581276330722498851009971123396182707993073267872618681840675593005117230205602153906025685900979975625232758865561712011584237858877536565211969369977663634931007444148112659850493404516410599983402185691290207518926732183047953100379128612932829598445090924906050074970904699588212456313012088533785585562331476815151349138348984868891127666015348685066709631656464406005154194800309146189174204036385188975444514414339140149217637915429935644435676045312278113723623936525523559203655545171825383520313200275972189116788440170649790269829514221836521442307820281003944874143217549344211054506683255956091293559009709206962943214756567666475331313993865015435643565653092440550555038523604008889848221003815403474021345270688106560067836224059505133346152429355147419746360996375259242546915877214580696247281532874928780999657679336495734786340076930196178618686876720058031968921835933431889820475765992041141915947355624816506341788770630303782886736936412304472239885530937048680616859197260648414015496978360274122012719316683914316216582491921139742336535471115013203199777831538434033900089048695889255210834566992842933392242898606296592082343497637934690615903164719793047511061248914241758291961289122772750770521291290627892953216014082694190861298044125330221548468551433119537958439588560758095040180183878605729063643326733875989948643144278862761868298276090202160134706080946251801527462784703329226695597340342181315115126642901196733952666420317618967515946151586751368383281304523923867010648474419893872056764351027692403420281241618985549996084576099828949764765644484273815015838004297975513fa fisher for independent means, give the p critical mpr mirths and that you are greater than 0.05 at the ### Understanding the Problem The task involves analyzing data using **Fisher's Test for Independent Means**. This means: - **Fisher's Test**: Typically refers to the Fisher's Exact Test, which is used to determine the independence of two classification variables in a contingency table. However, given that the task involves "independent means," it might refer to a different statistical method involving means. - **Independent Means**: This implies that there are two or more independent groups being compared based on their means. The dataset involves four variables: 1. **Team Win/Loss**: Likely a binary variable indicating whether a team won or lost a game. 2. **Team Penalties**: The number of penalties received by a team. 3. **Team Wins**: The number of games won by a team. 4. **Team Losses**: The number of games lost by a team. The goal is to **compute the p-value**, which is the probability of observing data as extreme as the observed data if the null hypothesis is true. The null hypothesis is usually that there is no significant difference between groups or no significant relationship between variables. ### Step 1: Simplify the Problem Given that the dataset is large, the first step is to **simpute** the data for ease of analysis. This likely involves summarizing or summarizing the data to manage it more effectively. ### Step 2: Analyze the Data To analyze the data, consider using statistical tests or analyses that are appropriate for the data types: Given that: - **Team Win/Loss** is categorical. - **Team Penalties** are numeric. - **Team Wins** and **Losses** are both numeric. This suggests that a **chi-square test** or a **t-test** might be appropriate for testing relationships between variables. Given the complexity, I’ll consider using a **t-test** to assess if there's a significant difference in the means of the two categories in **Team Win/Loss**. ### Step 3: Conduct the Test Since the task is to calculate the critical value, I’ll consider the **t-distribution** for the calculation. The critical value is the point beyond which the null hypothesis is rejected. Here's how to calculate it: 1. **Degrees of Freedom**: Typically, df = n - 1, where n is the sample size. 2. **Significance Level**: Usually α = 0.05. 3. **Critical Value**: Use the t-table or statistical software to find the critical value. ### Step 4: Conclusion The critical value will be used to decide if the null hypothesis is to be rejected. Now, proceed with the calculations. --- #### Calculation Process: 1. **Calculate Degrees of Freedom**: - Assuming n = 2000, df = 2000 - 1 = 1999. 2. **Find Critical Value in t-table**: - With α = 0.05 and df = 1999, critical value is 1.96. #### Interpretation: Since the null hypothesis is rejected if the calculated t-value exceeds the critical value, the critical value is **1.96**. This means that if the calculated t is greater than 1.96, the null hypothesis can be rejected at a 5% significance level. ### Final Answer: The critical value is **1.96**.

1 Apr, 200956 mins