The two intervals (113.4, 114.6) and (113.1, 114.9) are confidence intervals for μ = mean resonance frequency (in hertz) for all tennis rackets of a certain type. the two intervals were calculated using the same sample data. (a) what is the value of the sample mean (in hertz) resonance frequency?

114

Step-by-step explanation:

Given that two intervals  are confidence intervals for μ = mean resonance frequency (in hertz) for all tennis rackets of a certain type.

They are

i) and

ii)

We know that confidence interval has centre as the mean value

Hence we find the average of lower and upper bounds to find out the sample mean.

Sample mean in i)

Sample mean in ii)

Thus we find that value of sample mean =114

i think the answer would be c