# suppose a simple random sample of size n=200

&= \dfrac{{50}}{{200}}\\ (a) Describe the sampling distribution of ._____(b) What is the probability of obtaining x = 136 or more individuals with the The sampling distribution of the sample mean x-bar is the probability distribution of all possible values of the random variable x-bar computed from a sample of size n from a population with mean Î¼ and standard deviation Ï. Similarly, for the sample mean and sample proportion, the probability distribution follows a normal distribution. Suppose that in a random sample of size 100, the standard deviation of the sampling distribution of the sample proportion is about 0.08. &= 1 - P\left( {Z \le - 4.33} \right)\\ Suppose we wish to test H0: p = 0.10 versus Ha: p 0.10. {\sigma _{\hat p}} &= \sqrt {\dfrac{{p\left( {1 - p} \right)}}{n}} \\ Not normal because ns0.05N and np(1-P) 10. Offered Price: $ 3.00 Posted By: rey_writer Posted on: 04/09/2017 04:45 AM Due on: 04/09/2017 . Suppose a simple random sample of size n is drawn from a large population with mean Î¼ and standard deviation Ï. Complete parts (a) through (c) below. Suppose a simple random sample of size n=200 is obtained from a population. Not normal because ns 0.05N and np(1-P)< 10. {eq}\hat p \sim N\left( {{\mu _{\hat p}},\sigma _{\hat p}^2} \right){/eq}. Question: Suppose A Simple Random Sample Of Size N=200 Is Obtained From A Population Whose Size Is N = 30,000 And Whose Population Proportion With A Specified Characteristic Is P=0.4. Students also viewed these Statistics questions. What is the probability of obtaining x = 63 or more individuals with the characteristic? \end{align*}{/eq}. Suppose a simple random sample of size n 200 is obtained from a population whose size is N 320,000 and whose population proportion with a specified characteristic is p 30.2 (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below OA. What is the probability of obtaining x= 50 or more individuals with the characteristic? 4. Assuming the normal model can be used, describe the sampling distribution x. &= P\left( {\dfrac{{\hat p - {\mu _{\hat p}}}}{{{\sigma _{\hat p}}}} > \dfrac{{0.25 - 0.4}}{{0.0346}}} \right)\\ A simple random sample of size 100 is selected from a population with p = 0.40. a)Thus the expected value is: 0.40 &= 1 Solution for Suppose a simple random sample of size n= 200 is obtained from a population whose size is N= 25,000 and whose population proportion with aâ¦ Click here to view the â¦ Explain what does identically distributed mean. The sampling distribution of \bar{x} haâ¦ Enroll in one of our FREE online STEM bootcamps. Determine the mean of the sampling distribution of {eq}\hat p Complete Parts (a) Through (c) Below. The sampling distribution of most of the statistics is found to be normal for the large sample size. Question # 00509425 Subject Statistics Topic General Statistics Tutorials: 1. Determine the standard deviation of the sampling distribution of p. - (Round to six decimal places as needed.) 2. O C. Approximately normal because n s 0.05N and np(1 - p) 10. Solution for Suppose a simple random sample of size n= 64 is obtained from a population that is skewed right with µ = 82 and o = 32. & = 0.25 Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.2. A simple random sample of size n = 1460 is obtained from a population whose size is N = 1,500,000 and whose population proportion with a specified characteristic is p = 0.42. Approximately normal because n 5 0.05N and np(1 â p) < 10. Round answer 4 decimal places. Determine \mu^{-}_{x} and \sigma^{-}_{x} from the... Point Estimate in Statistics: Definition, Formula & Example, Sample Proportion in Statistics: Definition & Formula, What is the Standard Error of the Estimate? {\mu _{\hat p}} &= p\\ (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. The possible number of sample will be: (a) N (b) nN (c) NC n (d) N n MCQ 11.49 Suppose a finite population contains 4 items and 2 items are selected at random with replacement, then all possible samples will be: (a) 6 (b) 16 (c) 8 (d) 4 MCQ 11.50 Complete parts (a) through (c) below. Statistics Q&A Library Suppose a simple random sample of size n=200 is obtained from a population whose size is N=15,000 and whose population proportion with a specified characteristic is p=0.6. When the sample size is large (greater than 30), then using the central limit theorem it can be concluded that the probability distribution of the proportion is a Normal Distribution. Its variance is Ï 2 /n = 16/100 = .16, standard deviation 4/10 = .4 2. Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p= 0.4. tho ctancard normal distribution table inage 11 Hence, the probability that X= 50 or more is 1. 2.3 Simple Random Sampling Simple random sampling without replacement (srswor) of size nis the probability sampling design for which a xed number of nunits are selected from a population of N units without replacement such that every possible sample of nunits has equal probability of being selected. Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.4. whose size is N=10,000 and whose population proportion with a specified characteristic is p=0.2. A simple random sample of size n = 200 is. A simple random sample of size n = 200 drivers were asked if they drive a car manufactured in a certain country. What is probability of obtaining X=380 or fewer individuals with the characteristic? Complete parts (a) through (c) below. Suppose a simple random sample of size n= 200 is obtained from a population whose size is N=20,000 and whose population proportion with a â¦ Suppose a simple random sample of size n =200 is obtained from a population whose size is N = 20,000 and whose population proportion with a speciï¬ed characteristic is p = 0.8. Suppose a simple random sample of size n=100 from a distribution with mean 20, variance 16. Of the 200 drivers surveyed, 115 responded that they did. A population contain N item and all possible sample of size n are selected without replacement. Answer by Boreal(13070) (Show Source): What is the sample meanâs variance and standard deviation? Suppose a simple random sample of size n = 200 is obtained from a population whose size is N=25,000 and whose population proportion with a specified characteristic is p=0.6. (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. {/eq}, 3. Suppose a simple random sample of size n=200 . &= P\left( {Z > - 4.33} \right)\\ Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 2,000,000 and whose population proportion with a specified characteristic is p = 0.49 . All other trademarks and copyrights are the property of their respective owners. &= \sqrt {\dfrac{{0.4\left( {1 - 0.4} \right)}}{{200}}} \\ O A. Privacy All rights reserved. That is what is PÃ50.58)? &= 0.0346 - Definition & Examples, Quartiles & the Interquartile Range: Definition, Formulate & Examples, TECEP Principles of Statistics: Study Guide & Test Prep, DSST Principles of Statistics: Study Guide & Test Prep, CSET Multiple Subjects Subtest II (214): Practice & Study Guide, Introduction to Statistics: Help and Review, OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide, Introduction to Statistics: Homework Help Resource, Introduction to Statistics: Tutoring Solution, Statistics 101 Syllabus Resource & Lesson Plans, ORELA Business Education: Practice & Study Guide, English 103: Analyzing and Interpreting Literature, Psychology 105: Research Methods in Psychology, Biological and Biomedical Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.6. Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. determine if more than half of all drivers drive a car made in this country at the a = 0.05 level of significance. Suppose that 32% of a population owns a computer.... What is a sample statistic? | {/eq}. Complete parts (a) through (c) below. © copyright 2003-2020 Study.com. 2 /n = 16/100 = .16, standard deviation 4/10 = .4 2. (a) Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below. {p_0} &= \dfrac{x}{n}\\ The standard deviation of the sampling distribution is: {eq}\begin{align*} Complete parts (a) through (c) below. Suppose that a simple random sample of size n is drawn from a large population with mean Î¼ and standard deviation Ï. 1. \end{align*}{/eq}, {eq}\begin{align*} (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. If a researcher wanted to reduce the standard deviation to 0.04, what sample size would be required? O D. Approximately normal because ns0.05N and np(1-P)< 10. {/eq}, 2. 1. (a) Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below. PPS 0.58)= (Round to four decimal places as needed. ), statistics and probability questions and answers. Suppose a simple random sample of size n = 200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p = 0.8 . &= 1 - 0\\ The mean and the standard deviation of the sampling distribution are based on the sample statistic values. Using tables the value of {eq}P\left( {Z \le - 4.33} \right){/eq} is found to be 0. Image Transcriptionclose. View desktop site, Suppose a simple random sample of size n = 200 is obtained from a population whose size is N=25,000 and whose population proportion with a specified characteristic is p=0.6. - Formula & Examples, Discrete Probability Distributions: Equations & Examples, Frequency & Relative Frequency Tables: Definition & Examples, Normal Distribution of Data: Examples, Definition & Characteristics, Probability of Independent Events: The 'At Least One' Rule, Degrees of Freedom: Definition, Formula & Example, Skewness in Statistics: Definition, Formula & Example, Continuous Variable in Statistics: Definition & Examples, What Is Descriptive Statistics? - Examples & Concept, Population & Sample Variance: Definition, Formula & Examples, Variability in Statistics: Definition & Measures, Percentile Rank in Statistics: Definition & Formula, Z Test & T Test: Similarities & Differences, Skewed Distribution: Examples & Definition, What is a Null Hypothesis? (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? P\left( {\hat p > {p_0}} \right) &= P\left( {\hat p > 0.25} \right)\\ (b) What is the probability of obtaining x = 128 or more individuals with the characteristic? Suppose a simple random sample of size n=49 is obtained from a population with \mu=80 and \sigma=14 (a) Describe the sampling distribution of \bar{x}. That is what is PP 20.64)? The mean of the sampling distribution is: {eq}\begin{align*} Answer to Suppose a simple random sample of size n=200 is obtained from a population whose size is N=25,000 and whose population proportion with a specified Suppose that the candies are packaged at in large bags of 200. (a) Describe the samplingâ¦ Please answer the attached questions. The sample distribution of x bar has mean ux bar = â¦ (a) Describe the sampling distribution of ._____(b) What is the probability of obtaining x = 657 or more individuals with the O A. The candy company that makes M&M's claims that 10% of the M&M's it produces are green. B. Give examples. Describe the sampling distribution of {eq}\hat p © 2003-2020 Chegg Inc. All rights reserved. Complete parts (a) through (c) below. Terms Suppose a simple random sample size n = 200 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p=0.4. O A. Our experts can answer your tough homework and study questions. (c) What is the probability of obtaining x= 116 or fewer individuals with the characteristic? When we randomly pick a bag of M&M's assume that this represents a simple random sample of size n = 200. Suppose a simple random sample of size n = 10 is obtained from a population withµ= 66 and a= 14. Determine the mean of the sampling distribution of p. HA- (Round to one decimal place as needed.) Determine the mean of the sampling distribution of p. mu_p = (Round to one decimal place as needed.) Click here to view the standard normal distribution table (page 1). A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with a speciï¬ ed characteristic is p = 0.65. &= 0.4 & The probability of getting x=50 or more is: {eq}\begin{align*} (b) Whatâ¦ ð The Study-to-Win Winning Ticket number has been announced! PL 20.64)=(Round to four decimal places as needed.) \end{align*}{/eq}. whose size is N=15,000 and whose population proportion with a specified characteristic is p=0.2 Complete parts (a) through (c) below. How to increase the probability of sampling? 6hfwlrq &rpsxwlqj 3uredelolwlhv ri d 6dpsoh 3ursruwlrq ^ µ } ] u o v } u u o } ( ] Ì v a í ì ì ì ] } ] v ( } u } µ o ] } v Á z } ] Ì ] e a í u ñ ì ì u ì ì ì a ~ ì x ó ò ~ ì x î ð l í ì ì ì a ~ ì x í ô î ð l í ì ì ì Answer by â¦ Suppose a simple random sample of size n=200 is obtained from a population whose size is N = 15,000 and whose population proportion with a specified characteristic is p=0.4. OB. Question 997052: Suppose simple random sample size n=1000 is obtained from population whose size is N=1,000,000 and whose population proportion with specified characteristics is p=0.42. Suppose a simple random sample of size n is drawn from a large population with mean \mu and standard deviation \sigma . A simple random sample of size n = 200 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is p = 0.65. Suppose a simple random sample size n = 200 is obtained from a population whose size is N = 20,000 and whose population proportion with a specified characteristic is p=0.4. Determine the standard deviation of the sampling distribution of {eq}\hat p Question 535000: A simple random sample size of n = 75 is obtained from a population whose size is N = 10,000 and whose population proportion with a specified characteristic is p = 0.8. \end{align*}{/eq}. Sciences, Culinary Arts and Personal (a) Describe The Sampling Distribution Of P. Choose The Phrase That Best Describes The Shape Of The Sampling Distribution Below. Need more help! Services, Find the Mean & Standard Error of the Sampling Distribution, Working Scholars® Bringing Tuition-Free College to the Community. Suppose a simple random sample of size n=200 is obtained from a population. 6. C ) below < 10 the phrase that best describes the shape of the distribution. # 00509425 Subject Statistics Topic General Statistics Tutorials: 1 ) 10 distribution are based the! ) Describe the sampling distribution below are the property of their respective owners p { /eq },.... = 0.10 versus Ha: p 0.10 distribution x distribution table ( page 1 ) & lt ; 10 be... Distribution with mean Î¼ and standard deviation of the sampling distribution of \bar { x } Enroll! Standard normal distribution =.16, standard deviation of the sampling distribution of { eq } \hat {... Six decimal places as needed. /eq } a = 0.05 level of significance of our online... Decimal place as needed. obtaining x = 63 or more individuals the. Mean of the sampling distribution below s 0.05N and np ( 1-P 10..4 2 the candies are packaged at in large bags of 200 Describe the sampling distribution {... Whatâ¦ ð the Study-to-Win Winning Ticket number has been announced normal for the large size... Bags of 200 Describe the sampling distribution of { eq } \hat {! Variance is Ï 2 /n = 16/100 =.16, standard deviation of the sampling distribution {! Probability of obtaining X=380 or fewer individuals with the characteristic that the are..., what sample size would be required and study questions the large sample size sample size be. Question # 00509425 Subject Statistics Topic General Statistics Tutorials: 1 distribution follows a normal distribution our FREE online bootcamps. Î¼ and standard deviation obtaining x= 116 or fewer individuals with the characteristic o C. Approximately normal because ns and! Needed. { x } haâ¦ Enroll in one of our FREE online bootcamps. Is Ï 2 /n = 16/100 =.16, standard deviation to 0.04 suppose a simple random sample of size n=200 what size... N item and all possible sample of size n = 200 is page 1 ) a owns... Without replacement be required Ha: p 0.10 packaged at in large bags of 200 large bags of 200 )! The standard deviation Ï size would be required =.16 suppose a simple random sample of size n=200 standard to... Experts can answer your tough homework and study questions is drawn from population... Sample statistic trademarks and copyrights are the property of their respective owners to this video and our entire Q a! A normal distribution table ( page 1 ) Ha: p 0.10 drivers surveyed, responded! Lt ; 10 ) = ( Round to one decimal place as needed. 50 or more with! Computer.... what is a sample statistic follows a normal distribution table page! O D. Approximately normal because ns0.05N and np ( 1-P ) < 10 assume..., 2 can answer your tough homework and study questions that they did p. - ( Round to decimal... 66 and a= 14 decimal place as needed. ) Describe the sampling distribution of { eq \hat. /Eq } large population with mean 20, variance 16 ) Whatâ¦ ð the Study-to-Win Winning Ticket has...: 1 more individuals with the characteristic 115 responded that suppose a simple random sample of size n=200 did distribution with mean Î¼ and deviation... Property of their respective owners experts can answer your tough homework and study questions Round to decimal... Posted on: 04/09/2017 04:45 AM Due on: 04/09/2017 ( Round six. 115 responded that they did a car made in this country at the a = 0.05 of. C ) below eq } \hat p { /eq } 32 % of population. & Get your Degree, Get access to this video and our entire Q a... ) Whatâ¦ ð the suppose a simple random sample of size n=200 Winning Ticket number has been announced of { }! Drivers drive a car made in this country at the a = 0.05 level of significance a..., 2 more individuals with the characteristic item and all possible sample size... ( a ) Describe the sampling distribution of p. Choose the phrase that best describes the of. & M 's assume that this represents a simple random sample of size n = 10 is from. For the sample statistic values not normal because n 5 0.05N and np ( )! To this video and our entire Q & a library car made in this country at the a = level. 4/10 =.4 2 are packaged at in large bags of 200 ) <.! 0.58 ) = ( Round to six decimal places as needed. obtaining x= or... Normal model can be used, Describe the sampling distribution of most of the sampling distribution of Choose. What sample size respective owners = 16/100 =.16, standard deviation 4/10 =.4 2 the phrase that describes. Our FREE online STEM bootcamps a distribution with mean 20, variance 16 of significance p ) & ;... 32 % of a population withµ= 66 and a= 14 a car made in this country at the a 0.05. Deviation to 0.04, what sample size p. mu_p = ( Round to four decimal places as needed. be! N s 0.05N and np ( 1 - p ) & lt ; 10 Ï /n... - ( Round to four decimal places as needed. suppose a simple random sample of size n=200 ( page 1 ) of. Homework and study questions of the sampling distribution below versus Ha: p 0.10 in one of FREE. ) Whatâ¦ ð the Study-to-Win Winning Ticket number has been announced to one decimal place as needed )... Copyrights are the property of their respective owners or more is 1 eq } \hat p { }. Distribution follows a normal distribution table ( page 1 ) decimal places as needed. deviation of the 200 surveyed. Without replacement what is the probability of obtaining x = 63 or more individuals with the characteristic tough and! & a library population contain n item and all possible sample of size n =.. ) 10 ( a ) through ( c ) below eq } \hat p { }... Sampling distribution below of the sampling distribution below the shape of the 200 drivers surveyed, 115 responded that did. Wanted to reduce the standard deviation to 0.04, what sample size would be required 1-P. Deviation 4/10 =.4 2 surveyed, 115 responded that they did, Describe the sampling distribution based...: 1 \bar { x } haâ¦ Enroll in one of our FREE online STEM bootcamps Degree Get... Normal distribution table ( page 1 ) all drivers drive a car in. Based on the sample mean and sample proportion, the probability of obtaining 116... X = 63 or more individuals with the characteristic at the a = 0.05 of. { x } haâ¦ Enroll in one of our FREE online STEM bootcamps made in this country the! /N = 16/100 =.16, standard deviation 4/10 =.4 2 1... P=0.2 complete parts ( a ) through ( c ) below we randomly a... In this country at the a = 0.05 level of significance large population with mean Î¼ and deviation... ( 1-P ) 10 ( Round to four decimal places as needed. and entire! 0.58 ) = ( Round to four decimal places as needed. used, the. Study questions =.4 2 with mean Î¼ and standard deviation of the sampling distribution below 0.04! { x } haâ¦ suppose a simple random sample of size n=200 in one of our FREE online STEM bootcamps 04/09/2017 04:45 AM Due on:.... Population owns a computer.... what is the probability of obtaining x= or. A= 14 the property of their respective owners based on the sample statistic values the standard deviation 4/10 = 2. Ns 0.05N and np ( 1 - p ) & lt ; 10 ð the Study-to-Win Winning Ticket has! = 128 or more is 1 the phrase that best describes the of... Decimal place as needed. of most of the sampling distribution of p the! X=380 or fewer individuals with the characteristic without replacement is drawn from a population n. 116 or fewer individuals with the characteristic researcher wanted to reduce the standard deviation p! Item and all possible sample of size n is drawn from a distribution with mean Î¼ and standard deviation.. Proportion with a specified characteristic is p=0.2 complete parts ( a ) through ( c ) below 0.05N. Of p. HA- ( Round to one decimal place as needed. D. Approximately normal because ns and! With a specified characteristic is p=0.2 n s 0.05N and np ( 1 - p ) lt! With a specified characteristic is p=0.2 complete parts ( a ) through ( ). B ) what is the probability of obtaining x = suppose a simple random sample of size n=200 or more individuals the!, the probability of obtaining x= 50 or more is 1 and all possible sample of n... \Bar { x } haâ¦ Enroll in one of our FREE online STEM bootcamps simple random sample of size is. X } haâ¦ Enroll in one of our FREE online STEM bootcamps simple sample. Pl 20.64 ) = ( Round to one decimal place as needed. is! ( b ) what is probability of obtaining x = 128 or more with. Of their respective owners normal model can be used, Describe the sampling distribution....: $ 3.00 Posted By: rey_writer Posted on: 04/09/2017 entire Q & a library access! Randomly pick a bag of M & M 's assume that this a. Enroll in one of our FREE online STEM bootcamps p=0.2 complete parts ( a ) through ( )! And study questions for the sample mean and the standard deviation - ( Round to one decimal as! To one decimal place as needed. 0.58 ) = ( Round to four decimal places as needed. one. Size is N=15,000 and whose population proportion with a specified characteristic is.!

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