Question

The two intervals (114.9, 115.7) and (114.6, 116.0) are confidence intervals (computed using the same sample data) for μ = 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?

Answer 1

115.3 hertz

Explanation:

For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.

For the first interval:

`M=(114.9 + 115.7)/(2) \\M=115.3\ hertz`

For the second interval:

`M=(114.6 + 116.0)/(2) \\M=115.3\ hertz`