How To Find Probability Of Sampling Error
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or percentage of sampling error Tweet Welcome to Talk Stats! Join the discussion today by registering your FREE account. Membership benefits: • Get your questions answered by community gurus and expert researchers. • Exchange your learning and research experience among peers probability of a sample mean and get advice and insight. Join Today! + Reply to Thread Results 1 to 4 what is the probability that the sampling error made in estimating the population mean of 4 Thread: Indicated probability or percentage of sampling error Thread Tools Show Printable Version Email this Page… Subscribe to this Thread… Display probability of sample mean calculator Linear Mode Switch to Hybrid Mode Switch to Threaded Mode 11-26-200501:41 PM #1 tdurepo View Profile View Forum Posts Give Away Points Posts 2 Thanks 0 Thanked 0 Times in 0 Posts Indicated probability or percentage of sampling error
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I have tried this problem for three days, and I cannot find the example of how to do this in my book, or online anywhere. Scores on an apptitude test are normally distributed with a mean of 220 and a standard deviation of 30. What is the probability that the sampling error made in estimating the population mean by the mean of a random sample of 50 test scores will be at most 5 points? I know probability of sample mean between two numbers calculator that the answer is .762, but I don't know how to get there. I hope someone can show me. Thanks Reply With Quote 11-26-200506:23 PM #2 dml View Profile View Forum Posts Posts 4 Thanks 0 Thanked 0 Times in 0 Posts sampling error The standard error of the mean is 30/sqrt(50) = 4.2426. See attachment (from http://psych.rice.edu/online_stat/an...rmal_dist.html) Attached Images Reply With Quote 11-27-200506:17 PM #3 JohnM View Profile View Forum Posts TS Contributor Posts 1,948 Thanks 0 Thanked 5 Times in 4 Posts You want to find the probability of getting a sample mean somewhere between 215 and 225. z1 = (215-220)/4.2426 z2 = (225-220)/4.2426 If you look at my post called "The Vaunted Normal Distribution" under the examples section, you'll see how to compute the probability between z1 and z2. Reply With Quote 11-28-200508:27 AM #4 tdurepo View Profile View Forum Posts Posts 2 Thanks 0 Thanked 0 Times in 0 Posts Thank you guys so much!!! Reply With Quote + Reply to Thread Tweet « sampling distributions | Sampling » Similar Threads standard error and sampling distribution? By m_griffin007 in forum Statistics Replies: 4 Last Post: 10-06-2012, 11:20 PM probability question with percentage of sales By ealeql in forum Probability Replies: 3 Last Post: 02-25-2010, 07:50 PM Sampling Error Probability By Raven in forum Probability Replies: 3 Last Post: 06-29-2009, 06:15 PM sampl
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Probability Of Sample Mean Given Population Mean Calculator
Society & Culture Sports Travel Yahoo Products International Argentina Australia Brazil Canada France Germany India Indonesia Italy Malaysia Mexico New Zealand Philippines Quebec Singapore Taiwan Hong http://www.talkstats.com/showthread.php/274-Indicated-probability-or-percentage-of-sampling-error Kong Spain Thailand UK & Ireland Vietnam Espanol About About Answers Community Guidelines Leaderboard Knowledge Partners Points & Levels Blog Safety Tips Science & Mathematics Mathematics Next Indicated probability of a sampling error? Scores on a chemistry final exam are normally distributed with a mean of 280 and a standard deviation of 50. https://answers.yahoo.com/question/?qid=20100725192041AAkwe5o Determine the percentage of samples of size 4 that will have mean scores within 35 points of the population mean score 280. cant figure this problem out. need help please. Follow 2 answers 2 Report Abuse Are you sure you want to delete this answer? Yes No Sorry, something has gone wrong. Trending Now Atlanta Falcons Chicago Bears Miranda Lambert Nora Jones Darth Vader Contact Lenses Cartoon Movies German Tesla Toyota Highlander Business Cards Answers Best Answer: ANSWER: 83.8% of the samples of size 4 will have mean scores within 35 points of the population mean score 280 Why??? NORMAL DISTRIBUTION, STANDARDIZED VARIABLE z, PROBABILITY "LOOK-UP" Score of 245: STANDARDIZED VARIABLE z = (245 - 280)/(50/SQRT(4)) [-1.4] Score of 315: STANDARDIZED VARIABLE z = (315 - 280)/(50/SQRT(4)) [1.4] Score of 245: PROBABILITY "LOOK-UP" from cumulative NORMAL DISTRIBUTION TABLE: P(z < - 1.4) = 0.081 Score of 315: PROBABILITY "LOOK-UP" from cumulative NORMAL DISTRIBUTION TABLE: P(
repeatedly randomly drawn from a population, and the proportion of successes in each sample is recorded (\(\widehat{p}\)),the distribution of the sample proportions (i.e., https://onlinecourses.science.psu.edu/stat200/node/43 the sampling distirbution) can be approximated by a normal distribution given that both \(n \times p \geq 10\) and \(n \times (1-p) \geq 10\). This is known as theRule of Sample Proportions. Note that some textbooks use a minimum of 15 instead of 10.The mean of the distribution of sample proportions is equal to the population probability of proportion (\(p\)). The standard deviation of the distribution of sample proportions is symbolized by \(SE(\widehat{p})\) and equals \( \sqrt{\frac {p(1-p)}{n}}\); this is known as thestandard error of \(\widehat{p}\). The symbol \(\sigma _{\widehat p}\) is also used to signify the standard deviation of the distirbution of sample proportions. Standard Error of the Sample Proportion\[ SE(\widehat{p})= \sqrt{\frac {p(1-p)}{n}}\]If \(p\) probability of sample is unknown, estimate \(p\) using \(\widehat{p}\)The box below summarizes the rule of sample proportions: Characteristics of the Distribution of Sample ProportionsGiven both \(n \times p \geq 10\) and \(n \times (1-p) \geq 10\), the distribution of sample proportions will be approximately normally distributed with a mean of \(\mu_{\widehat{p}}\) and standard deviation of \(SE(\widehat{p})\)Mean \(\mu_{\widehat{p}}=p\)Standard Deviation ("Standard Error")\(SE(\widehat{p})= \sqrt{\frac {p(1-p)}{n}}\) 6.2.1 - Marijuana Example 6.2.2 - Video: Pennsylvania Residency Example 6.2.3 - Military Example ‹ 6.1.2 - Video: Two-Tailed Example, StatKey up 6.2.1 - Marijuana Example › Printer-friendly version Navigation Start Here! Welcome to STAT 200! Search Course Materials Faculty login (PSU Access Account) Lessons Lesson 0: Statistics: The “Big Picture” Lesson 1: Gathering Data Lesson 2: Turning Data Into Information Lesson 3: Probability - 1 Variable Lesson 4: Probability - 2 Variables Lesson 5: Probability Distributions Lesson 6: Sampling Distributions6.1 - Simulation of a Sampling Distribution of a Proportion (Exact Method) 6.2 - Rule of Sample Proportions (Normal Approximation Method)6.2.1 - Marijuana Example 6.2.2 - Video: Pennsylvania Re