Answer
Hence, we can say with 95% confidence that the population mean length of men’s singles matches during Wimbledon is between 119.6 and 147.2 minutes.
Work Step by Step
Here we have n = 40, df = n-1 = 39, x̅ = 133.4 and s = 43.27
Confidence = 95%
α = 1 - 0.95 = 0.05, α/2 = 0.025, $t_{α/2} = 2.02$
$E = 2.02 \times \frac{43.27}{\sqrt 40} = 13.8
$ Lower Bound = x̅ - E = 133.4 - 13.8 = 119.6
Upper Bound = x̅ + E = 133.4 + 13.8 = 147.2
Hence, we can say with 95% confidence that the population mean length of men’s singles matches during Wimbledon is between 119.6 and 147.2 minutes.
