Answer
We can say with 90% confidence that the population mean length of men’s singles matches during Wimbledon is between 114.9 and 151.9 minutes.
Work Step by Step
Here we have n = 40, df = n-1 = 39, x̅ = 133.4 and s = 43.27
Confidence = 90%
α = 1 - 0.90 = 0.10, α/2 = 0.05, $t_{α/2} = 2.02$
$E = 2.026 \times \frac{43.27}{\sqrt 40} = 18.5 $
Lower Bound = x̅ - E = 133.4 - 18.5 = 114.9
Upper Bound = x̅ + E = 133.4 + 18.5 = 151.9
Hence, we can say with 90% confidence that the population mean length of men’s singles matches during Wimbledon is between 114.9 and 151.9 minutes.
