Problem
MATH1127: Introduction to Statistics (60022) Unit 3 Test Practice Quizzes Quiz Chapter 8 Quiz: Chapter 8 Score: $0 / 30 \quad 0 / 6$ answered Question 6 A student was asked to find a $98 \%$ contsence interval for widget width using data from a random sample of size $n=15$. Which of the following is a correct interpretation of the interval $13.1<\mu<20.5$ ? Check all that are correct. With $98 \%$ confidence, the mean width of all widgets is between 13.1 and 20.5 . There is a $98 \%$ chance that the mean of a sample of 15 widgets will be between 13.1 and 20.5 . The mean width of all widgets is between 13.1 and $20.5,98 \%$ of the time. We know this is true because the mean of our sample is between 13.1 and 20.5. There is a $98 \%$ chance that the mean of the population is between 13.1 and 20.5 . With $98 \%$ confidence, the mean width of a randomly selected widget will be between 13.1 and 20.5 .
Solution
Step 1 ：A student was asked to find a $98 \%$ confidence interval for widget width using data from a random sample of size $n=15$.
Step 2 ：The interval given is $13.1<\mu<20.5$.
Step 3 ：The correct interpretations are: 'With $98 \%$ confidence, the mean width of all widgets is between 13.1 and 20.5' and 'There is a $98 \%$ chance that the mean of the population is between 13.1 and 20.5'.
Step 4 ：\(\boxed{\text{'With $98 \%$ confidence, the mean width of all widgets is between 13.1 and 20.5'}}\)
Step 5 ：\(\boxed{\text{'There is a $98 \%$ chance that the mean of the population is between 13.1 and 20.5'}}\)
