The two intervals 1146 1156 and 1143 1159 are confidence int

The two intervals (114.6, 115.6) and (114.3, 115.9) are confidence intervals for = true average resonance frequency (in hertz) for all tennis rackets of a certain type.

(a) What is the value of the sample mean resonance frequency?

Solution

(114.6, 115.6) and (114.3, 115.9) are the confidence interval

mu is the average of two bounds of an interval

Hence for (114.6, 115.6) mu= 115.1 and for (114.3, 115.9) , mu= 115.1

For both the mean coincide and hence we get

value of the sample mean resonance frequency = 115.1