The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. Assume that the population standard deviation is 2.6 kWh. The mean electricity usage per family was found to be 15.6 kWh per day for a sample of 2115 famillies. Construct the 99 % confidence interval for the mean usage of electricity. Round your answers to one decimal place.
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.
![**Understanding Confidence Intervals: A Practical Example**
The electric cooperative aims to determine the mean household electricity usage by its non-commercial customers in kilowatt-hours (kWh) per day. Assume a population standard deviation of 2.6 kWh. A sample of 2,115 families showed a mean electricity usage of 15.6 kWh per day. Your task is to construct a 99% confidence interval for the mean usage, rounded to one decimal place.
**Answer Input Section:**
- **Lower Endpoint:**
[Input Box for Lower Limit]
- **Upper Endpoint:**
[Input Box for Upper Limit]
**Note:**
Use the given data and formulas for constructing a confidence interval to fill in the above inputs with accurate calculations. This exercise enhances your understanding of statistics and its application in real-world scenarios.
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This lesson reinforces statistical principles by applying them to everyday data analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07e0be5e-c198-4d18-a515-6f255afa67b7%2F9a1c99d2-13b3-4ec9-b26b-431b7c1e94f6%2Fn3qt8kg_processed.jpeg&w=3840&q=75)
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