Question

Which of the following confidence intervals could show that there may be no difference between the average number of texts per hour for adults and children

option #1 (4.5, 12.7)

option #2 (-16.2,-2.9)

option #3 (-12.6, 3.1)

Answer 1

We know that if the confidence interval includes the value zero,

The difference between the two averages does not differ when the value of the confidence interval is equal to zero. Hence, we can say that there does not exist a difference between the means if the confidence interval includes the value zero. Therefore, the confidence interval could show that there may be no difference between the average number of texts per hour for adults and children is " option #3 (-12.6, 3.1)".

Ans: option #3 (-12.6, 3.1). It includes the value zero in the confidence interval.