Let m denote the true average radioactivity level (picocuriesper liter). The value 5 pCi/L is considered the dividingline between safe and unsafe water. Would you recommendtesting H0: m 5 5 versus Ha: m . 5 or H0: m 5 5versus Ha: m , 5? Explain your reasoning. [Hint: Thinkabout the consequences of a type I and type II error foreach possibility.]
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Let m denote the true average radioactivity level (picocuries
per liter). The value 5 pCi/L is considered the dividing
line between safe and unsafe water. Would you recommend
testing H0: m 5 5 versus Ha: m . 5 or H0: m 5 5
versus Ha: m , 5? Explain your reasoning. [Hint: Think
about the consequences of a type I and type II error for
each possibility.]
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