Statistical Methods and Confidence Interval Analysis: Assignments on Sampling, Estimation, and Hypothesis Testing

Assignments covering sampling methods, estimation techniques, and hypothesis testing.

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1Statistical Methods and Confidence Interval Analysis: Assignments onSampling, Estimation, and Hypothesis TestingAssignment-3-solution:(Chs.7and 8):Due byMidnight ofSunday,October14th, 2012:drop box3:Total70pointsTrue/False(1pointeach)Chapter 71.A sample size of1000is large enough to conclude that the sampling distributionof pis a normal distribution, when the estimate of the population proportion is.996.FALSEHere, n(1-p) =1000*0.004= 4 which is less than 10or even 5 (theliberal rulesuggested in the book)2.The standard deviation of all possible sample proportionsdecreasesas thesample sizedecreases.FALSEIt increases when n gets smaller.3.If the population is normally distributed then the sample meanisnormallydistributedfor anysample size.TRUE(Instructionson Ch 7, property 4)4.The reason sample variance has a divisor of n-1 rather than n is that it makes thestandard deviation an unbiased estimator of the population standard deviation.FALSESample variance is unbiased but sample standard deviation is not.5.The mean of the sampling distribution ofis always equal to the mean of thesampled population.TRUEChapter 86.First a confidence interval is constructed without using the finite populationcorrection factor. Then, for the same identical data, a confidence interval isconstructed using the finite population correction factor.The width of the intervalwith the finite population correction factor iswiderthan the confidence intervalwithout the finite population correction factor.

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