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- https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/08%3A_Estimating_Unknown_Quantities_from_a_Sample/8.E%3A_Estimation_(Exercises)What is the difference in the computation of a confidence interval between cases in which you know the population standard deviation and cases in which you have to estimate it? (relevant section & rel...What is the difference in the computation of a confidence interval between cases in which you know the population standard deviation and cases in which you have to estimate it? (relevant section & relevant section) True/false: As the sample size gets larger, the probability that the confidence interval will contain the population mean gets higher. (relevant section & relevant section)
- https://stats.libretexts.org/Courses/Luther_College/Psyc_350%3ABehavioral_Statistics_(Toussaint)/07%3A_Estimation/7.09%3A_Confidence_Interval_SimulationFor each run of the simulation, \(100\) sample experiments are conducted and a confidence interval on the mean is computed for each experiment. If the \(95\%\) confidence interval contains the populat...For each run of the simulation, \(100\) sample experiments are conducted and a confidence interval on the mean is computed for each experiment. If the \(95\%\) confidence interval contains the population mean of \(50\), then the confidence interval is shown as an orange line. The \(95\%\) confidence intervals that contain the mean of \(50\) are shown in orange and the those that do not are shown in red.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/MATH-201%3A_Elements_of_Statistics_and_Probability/09%3A_Hypothesis_Testing_with_One_Sample/9.1%3A_Prelude_to_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
- https://stats.libretexts.org/Courses/Remixer_University/Username%3A_ckkidder08marianuniversityedu/Applied_Statistics_for_Social_Science_(19-20)/06%3A_Hypothesis_Testing_with_One_Sample/6.1%3A_Prelude_to_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
- https://stats.libretexts.org/Courses/Prince_George's_Community_College/MAT1140%3A_Introduction_to_Statistics/07%3A_Hypothesis_Testing_with_One_Sample/7.01%3A_Prelude_to_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
- https://stats.libretexts.org/Courses/Las_Positas_College/Math_40%3A_Statistics_and_Probability/08%3A_Hypothesis_Testing_with_One_Sample/8.01%3A_Steps_in_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/13%3A_Linear_Regression_and_Correlation/13.07%3A_Predicting_with_a_Regression_EquationThe Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes t...The Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes to simulate will result in an estimate of the dependent variable which is minimum variance and unbiased.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/08%3A_Linear_Regression_and_Correlation/8.07%3A_Predicting_with_a_Regression_EquationThe Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes t...The Gauss-Markov theorem assures us that the point estimate of the impact on the dependent variable derived by putting in the equation the hypothetical values of the independent variables one wishes to simulate will result in an estimate of the dependent variable which is minimum variance and unbiased.
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Elementary_Statistics/09%3A_Hypothesis_Testing_with_One_Sample/9.01%3A_Prelude_to_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/07%3A_Confidence_Intervals_for_One_Population/7.02%3A_Confidence_Interval_for_a_ProportionThe sample proportion \(\hat{p}\) is the point estimate for p, the standard error (the standard deviation of the sampling distribution) of \(\hat{p}\) is \(\sqrt{\left(\frac{\hat{p} \cdot \hat{q}}{n}\...The sample proportion \(\hat{p}\) is the point estimate for p, the standard error (the standard deviation of the sampling distribution) of \(\hat{p}\) is \(\sqrt{\left(\frac{\hat{p} \cdot \hat{q}}{n}\right)}\), the z α /2 is the critical value using the standard normal distribution, and the margin of error \(\mathrm{E}=Z_{\alpha / 2} \sqrt{\left(\frac{\hat{p} \cdot \hat{q}}{n}\right)}\).
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Introductory_Statistics_(OpenStax)_With_Multimedia_and_Interactivity/09%3A_Hypothesis_Testing_with_One_Sample/9.01%3A_Prelude_to_Hypothesis_TestingA statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician mak...A statistician will make a decision about claims via a process called "hypothesis testing." A hypothesis test involves collecting data from a sample and evaluating the data. Then, the statistician makes a decision as to whether or not there is sufficient evidence, based upon analysis of the data, to reject the null hypothesis.
