UCF QMB 3200 Final Exam Study Guide with Complete Solutions 100% Verified Correct Answers Latest Update Doubling the size of the sample will - Correct Answer reduce the standard error of the mean The sample mean is the point estimator of - Correct Answer U A simple random sample of size n from an infinite population of size N is to be selected. Each possible sample should have - Correct Answer the same probability of being selected Which of the following statements regarding the sampling distribution of sample means is incorrect? - Correct Answer The standard deviation of the sampling distribution is the standard deviation of the population.A simple random sample of size n from an infinite population is a sample selected such that - Correct Answer each element is selected independently and is selected from the same population The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size becomes large is based on the - Correct Answer central limit theorem.Cluster sampling is - Correct Answer a probability sampling method.The central limit theorem states that - Correct Answer if the sample size n is large, then the sampling distribution of the sample mean can be approximated by a normal distribution.The value of the _____ is used to estimate the value of the population parameter - Correct Answer sample statistic The sampling distribution of is the - Correct Answer probability distribution of all possible values of the sample proportion. 1 / 3
Which of the following is not a symbol for a parameter? - Correct Answer S.The sample statistic characteristic s is the point estimator of - Correct Answer σ..The distribution of values taken by a statistic in all possible samples of the same size from the same population is called a - Correct Answer sampling distribution.Which of the following is a point estimator? - Correct Answer S.As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when - Correct Answer n(1 - p) ≥ 5 and np ≥ 5.A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately - Correct Answer normal because of the central limit theorem.The central limit theorem is important in Statistics because it enables reasonably accurate probabilities to be determined for events involving the sample average - Correct Answer when the sample size is large regardless of the distribution of the variable.The distribution of values taken by a statistic in all possible samples of the same size from the same population is the sampling distribution of - Correct Answer The sample Which of these best describes a sampling distribution of a statistic? - Correct Answer It is the distribution of all of the statistics calculated from all possible samples of the same sample size.The probability distribution of all possible values of the sample proportion is the - Correct Answer sampling distribution of p.For a fixed confidence level and population standard deviation, if we would like to cut our margin of error in half, we should take a sample size that is - Correct Answer four times as large as the original sample size. 2 / 3
We can reduce the margin of error in an interval estimate of p by doing any of the following except - Correct Answer increasing the planning value p* to .5.When computing the sample size needed to estimate a proportion within a given margin of error for a specific confidence level, what planning value of p should be used when no estimate of p is available? - Correct Answer 0.50 A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. Which of the following statements is true? - Correct Answer A t distribution should be used because σ is unknown.The z value for a 99% confidence interval estimation is - Correct Answer 2.58 In an interval estimation for a proportion of a population, the critical value of z at 99% confidence is - Correct Answer 2.576.In interval estimation, as the sample size becomes larger, the interval estimate - Correct Answer becomes narrower.In general, higher confidence levels provide larger confidence intervals.One way to have high confidence and a small margin of error is to - Correct Answer increase the sample size.From a population that is normally distributed, a sample of 30 elements is selected and the standard deviation of the sample is computed. For the interval estimation of μ, the proper distribution to use is the - Correct Answer t distribution with 29 degrees of freedom.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution - Correct Answer becomes smaller.The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the - Correct Answer margin of error.
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