STATS 230 Quiz 3 Solution Correct Answers

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STATS 230 QUIZ 3Solution Correct Answers1.How do we calculate the standard error of the mean?a.Sample standard deviation divided by square root of sample sizeb.Square root of sample variancec.Square root of population varianced.Sample standard deviation divided by sample sizeAnswer: a.Sample standard deviation divided by square root of sample size2.Which of the following description of the standard error of the mean is correct?a.Thestandard error of the mean is the standard deviation of the sampling distributionof the meanb.The standard error of the mean is the squared variance of the sampling distribution ofthe meanc.Standard error is the sample standard deviationd.Standard error is the same with population standard deviationAnswer: a.The standard error of the mean is the standard deviation of the samplingdistribution of the mean3.The sample standard deviation is 50, and the sample size is 400. What’s the standarderror of the mean?(Show work)Answer: 50/√400 = 2.54.Which of the following is correct according to the Central limit theorem?a.As the sample size increases, the sample distribution of the mean is closer to thepopulation distributionb.As the sample sizeincreases, the sample distribution of the mean is closer to thenormal distribution regardless of whether or not the distribution of the population isnormalc.As the sample size increases, the sample distribution of the mean is closer to thenormal distribution but only when the distribution of the population is normald.As the sample size increases, the sample distribution of the mean is closer to thepopulation distribution regardless of whether or not the population distribution isnormalAnswer: b.As the sample size increases, the sample distribution of the mean is closer to thenormal distribution regardless of whether or not the distribution of the population is normal5.Imagine a high school of 1,000 students. The school administrator wants to know theaverage height of students in that school. However, he does not know if it makes adifference if he samples more students or less. Thus, your suggestion for him is:a.As you measure more students, the standard error will be smallerb.As you measure more students, the average height will be smallerc.As you measure more students, the variance of sample distribution will be biggerd.As you measure more students, the standard deviation of the sample distribution willbe bigger.Answer: a.As you measuremore students, the standard error will be smaller6.The mean of the sampling distribution of the means is___ the mean of the populationfrom which the values were sampled.a.Equal to

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