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- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/06%3A_The_Normal_Distribution/6.00%3A_Prelude_to_The_Normal_DistributionThe normal, a continuous distribution, is the most important of all the distributions. It is widely used and even more widely abused. Its graph is bell-shaped. In this chapter, you will study the norm...The normal, a continuous distribution, is the most important of all the distributions. It is widely used and even more widely abused. Its graph is bell-shaped. In this chapter, you will study the normal distribution, the standard normal distribution, and applications associated with them. The normal distribution has two parameters (two numerical descriptive measures), the mean (μ) and the standard deviation (σ).
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/09%3A_Hypothesis_Testing_with_One_Sample/9.06%3A_Hypothesis_Testing_of_a_Single_Mean_and_Single_Proportion_(Worksheet)A statistics Worksheet: The student will select the appropriate distributions to use in each case. The student will conduct hypothesis tests and interpret the results.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/01%3A_Sampling_and_Data/1.04%3A_Experimental_Design_and_EthicsA poorly designed study will not produce reliable data. There are certain key components that must be included in every experiment. To eliminate lurking variables, subjects must be assigned randomly t...A poorly designed study will not produce reliable data. There are certain key components that must be included in every experiment. To eliminate lurking variables, subjects must be assigned randomly to different treatment groups. One of the groups must act as a control group, demonstrating what happens when the active treatment is not applied. Participants in the control group receive a placebo treatment that looks exactly like the active treatments but cannot influence the response variable.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/05%3A_Continuous_Random_Variables/5.02%3A_The_Uniform_DistributionThe uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful ...The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/12%3A_Linear_Regression_and_Correlation/12.06%3A_Outliers/12.6E%3A_Outliers_(Exercises)The potential outlier flattened the slope of the line of best fit because it was below the data set. What is the cutoff for the vertical distance that a point can be from the line of best fit to be co...The potential outlier flattened the slope of the line of best fit because it was below the data set. What is the cutoff for the vertical distance that a point can be from the line of best fit to be considered an outlier? Based on the data in Table, is there a linear relationship between the year and the average number of people in a welfare family? We are interested in whether there is a relationship between the ranking of a state and the area of the state.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/12%3A_Linear_Regression_and_Correlation/12.09%3A_Regression_-_Fuel_Efficiency_(Worksheet)A statistics Worksheet: The student will calculate and construct the line of best fit between two variables. The student will evaluate the relationship between two variables to determine if that relat...A statistics Worksheet: The student will calculate and construct the line of best fit between two variables. The student will evaluate the relationship between two variables to determine if that relationship is significant.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/08%3A_Confidence_Intervals/8.S%3A_Confidence_Intervals_(Summary)In this module, we learned how to calculate the confidence interval for a single population mean where the population standard deviation is known.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/09%3A_Hypothesis_Testing_with_One_Sample/9.05%3A_Additional_Information_and_Full_Hypothesis_Test_ExamplesThe hypothesis test itself has an established process. This can be summarized as follows: Determine H0 and Ha. Remember, they are contradictory. Determine the random variable. Determine the distribu...The hypothesis test itself has an established process. This can be summarized as follows: Determine H0 and Ha. Remember, they are contradictory. Determine the random variable. Determine the distribution for the test. Draw a graph, calculate the test statistic, and use the test statistic to calculate the p-value. (A z-score and a t-score are examples of test statistics.) Compare the preconceived α with the p-value, make a decision (reject or do not reject H0), and write a clear conclusion.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/12%3A_Linear_Regression_and_Correlation/12.03%3A_The_Regression_EquationA regression line, or a line of best fit, can be drawn on a scatter plot and used to predict outcomes for the x and y variables in a given data set or sample data. There are several ways to find a r...A regression line, or a line of best fit, can be drawn on a scatter plot and used to predict outcomes for the x and y variables in a given data set or sample data. There are several ways to find a regression line, but usually the least-squares regression line is used because it creates a uniform line. Residuals measure the distance from the actual value of y and the estimated value of y . The Sum of Squared Errors, when set to its minimum, calculates the points on the line of best fit.
- https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/07%3A_The_Central_Limit_Theorem/7.00%3A_Prelude_to_the_Central_Limit_TheoremThe central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value...The central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value and well-defined variance, will be approximately normally distributed.
- https://math.libretexts.org/Courses/Cosumnes_River_College/STAT_300%3A_Introduction_to_Probability_and_Statistics_(Nam_Lam)/04%3A_Probability/4.04%3A_Contingency_TablesThere are several tools you can use to help organize and sort data when calculating probabilities. Contingency tables help display data and are particularly useful when calculating probabilites that h...There are several tools you can use to help organize and sort data when calculating probabilities. Contingency tables help display data and are particularly useful when calculating probabilites that have multiple dependent variables.
