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
asked 2021-08-03
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.

Answers (1)

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
Answer:
1. \(\displaystyle{95}\%\) of people wait between 4 and 6 minutes at the restaurant - False
2. 95 of the people in your sample waited between 4 and 6 minutes - False
3. You are \(\displaystyle{95}\%\) sure your sample resulted in a confidence interval the contains the true mean -True

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