Question

# Mark each statement TRUE or FALSE. 1. 95\% of people wait between 4 and 6 minutes at the restaurant. 2. 95 of the people in your sample waited between 4 and 6 minutes. 3. You are 95\% sure your sample resulted in a confidence interval the contains the true mean.

Confidence intervals
Mark each statement TRUE or FALSE. For these problems, assume that to estimate average time spent waiting at a restaurant, you sample 110 people and you get a $$\displaystyle{95}\%$$ confidence interval of $$\displaystyle{\left({4},\ {6}\right)}$$ in minutes.
1. $$\displaystyle{95}\%$$ of people wait between 4 and 6 minutes at the restaurant.
2. 95 of the people in your sample waited between 4 and 6 minutes.
3. You are $$\displaystyle{95}\%$$ sure your sample resulted in a confidence interval the contains the true mean.

2021-08-17

Step 1
Given that there are 110 people in the sample and I get a 95% confidence interval of $$\displaystyle{\left({4},\ {6}\right)}$$ in minutes.
This means I am $$\displaystyle{95}\%$$ sure that my sample resulted in a confidence interval the contains the true mean of the population.
This does not mean a range that contains $$\displaystyle{95}\%$$ of the values.
Step 2
1. $$\displaystyle{95}\%$$ of people wait between 4 and 6 minutes at the restaurant - False
3. You are $$\displaystyle{95}\%$$ sure your sample resulted in a confidence interval the contains the true mean -True