9.2 Statistics Test Answers – Good Point Estimator Latest Updated & Approved

Which of the following is a good point estimator for the population variance? Statistical inference uses statistics calculated from samples as the basis of an inference about the population. If the sample is representative, then the sample statistics (which are random variables that depend on which random sample is selected) ought to be close to their population counterparts. In other words, the sample mean ought to be close to the population mean, the sample proportion ought to be close to the population proportion, and the sample standard deviation should be close to the population standard deviation. Thus, a good point estimator for the population variance is s2. Which of the following is a good point estimator for the population standard deviation? Statistical inference uses statistics calculated from samples as the basis of an inference about the population. If the sample is representative, then the sample statistics (which are random variables that depend on which random sample is selected) ought to be close to their population counterparts. In other words, the sample mean ought to be close to the population mean, the sample proportion ought to be close to the population proportion, and the sample standard deviation should be close to the population standard deviation. Thus, a good point estimator for the population standard deviation is s. For a quantitative variable in a particular population, how many different sample means are there? The sample mean is the mean of a set of sample values taken from a population. Samples drawn from a population may vary in size and contain different data values. Thus, a quantitative variable in a particular population can have many different sets of sample values and there can be many sample means. Which of the following is a good point estimator for the population mean? Statistical inference uses statistics calculated from samples as the basis of an inference about the population. If the sample is representative, then the sample statistics (which are random variables that depend on which random sample is selected) ought to be close to their population counterparts. In other words, the sample mean ought to be close to the population mean, the sample proportion ought to be close to the population proportion, and the sample standard deviation should be close to the population standard deviation. Thus, a good point estimator for the population mean is x¯.