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?

Respuesta :

Answer:

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) [tex](113.4, 114.6)[/tex] and

ii) [tex](113.1, 114.9)[/tex]

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) [tex]\frac{113.4+114.6}{2} =114[/tex]

Sample mean in ii) [tex]\frac{113.1+114.9}{2} =114[/tex]

Thus we find that value of sample mean =114