UCF QMB 3200 Final Exam 2024 Latest with Questions and simplified Answers that are 100% correct and A+ RATED 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. 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. 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 degree s 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. What is the symbol for the population mean? If the population follows a normal distribution, the confidence interval is _____ and can be used for any sample size. If the population does not follow a normal distribution, the confidence interval will be ____ _. Which of the following choices correctly complete this statement? - correct answer -exact; approximate. The t value for a 99% confidence interval estimation based upon a sample of size 10 is - correct answer -3.250. To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except - correct answer -using .95 as an estimate. Using an α = .04, a confidence interval for a population proportion is determined to be .65 to .75. If the level of significance is decreased, the interval for the population proportion - correct answer -becomes wider. For a fixed confidence level and population standard deviation, if we would like to cut our margin of error to 1/3 of the original size, we should take a sample size that is - correct answer -nine times as large as the original sample size. The sampling distribution of can be approximated by a normal distribution as long as - correct answer -np> 5 and n(1 -p)>5 greater or equals. When "s" is used to estimate "σ," the margin of error is computed by using the - correct answer -t distribution. The margin of error in an interval estimate of the population mean is a function of all of the following except the - correct answer -sample mean.
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