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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 ProblemThe 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 ProblemGiven 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 DataTo 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 TestSince 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: ConclusionThe 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 2009
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