Q.1.1 - The Practice of Statistics for AP

Question

How much does the fat content of Brand $X$ hot dogs vary? To find out, researchers measured the fat content (in grams) of a random sample of $10$ Brand X hot dogs. A $95\%$ confidence interval for the population standard deviation $S$ is $2.84$ to $7.55$ .

1. Interpret the confidence interval. 

Step-by-Step Solution

Answer

There is $95\%$ surety that the population standard deviation of fat content of hot dogs of brand $X$ will be lying between $2.84$ to $7.55 \mathrm{g}$.

Step 1: Given Information

Confidence interval $=(2.84,7.55)$.

Number of dogs $\left(n\right)=10$.

Confidence level $=95\%$.

Step 2: Explanation

There is $95\%$ surety that the population standard deviation of fat content of hot dogs of brand $X$ will be lying between $2.84$ to $7.55g$