The two intervals (113.5, 114.5) and (113.3, 114.7) 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?
(b) The confidence level for one of these intervals is 90%, and for the other it is 99%. Which is which, and how can you tell?
The 99% confidence interval is than the 90% confidence interval, because the t critical value for 99% confidence is than the t critical value for 90% confidence. Therefore, the 90% interval is Hz and the 99% interval is Hz.