The average internal diameter measurements of iron tubes (M = 10 cm), if you know that 88% of the company's production is within the limits of the specification (M + 0.07, M-0.07), calculate the percentage of pipes with a diameter greater than 9.5 cm.
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.
Q1 / The average internal diameter measurements of iron tubes (M = 10 cm), if you know that 88% of the company's production is within the limits of the specification (M + 0.07, M-0.07), calculate the percentage of pipes with a diameter greater than 9.5 cm.
Standard normal distribution:
The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable X follows normal distribution with mean (m) and standard deviation (σ), then the standard normal variable z will be as given below:
Compute the value of standard deviation:
Denote the diameter measurement of iron tube by X.
Given that the mean internal diameter measurements of iron tubes is m = 10 cm.
The standard deviation of internal diameter measurements of iron tubes is obtained as 0.045 from the calculation given below:
Thus, the standard deviation of internal diameter measurements of iron tubes is 0.045
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