To Help Consumers Assess the Risks They Are Taking, the Food

question 125

Essay

To help consumers assess the risks they are taking, the Food and Drug Administration (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded a mean nicotine content of $25.9$ milligrams and standard deviation of $2.7$ milligrams for a sample of $n = 95$ cigarettes. Find a $95 \%$ confidence interval for $\mu$ .

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Definitions:

Normally Distributed

Describes a statistical distribution where the arrangement is balanced around the mean, indicating that observations close to the mean happen more often than those further away.

Regression Line

A line of best fit through a dataset in regression analysis, showing the relationship between the independent and dependent variables.

Sum Of Squares

The total of the squared differences between each observation and the overall mean.

Data Points

Individual pieces of factual information recorded and used for the purpose of analysis.