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.

Short 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-by-step solution

Given Information

Confidence interval $=(2.84,7.55)$.

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

Confidence level $=95\%$.

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$7.55g$