Math  /  Data & Statistics

Questionv1=2v 1\rangle=2 3 4 5 6 7 8 9 10 11 12 Espafic
Let's go to the movies: A random sample of 44 Hollywood movies made in the last 10 years had a mean length of 131.1 minutes, with a standard deviation of 12.7 minutes.
Part: 0/20 / 2 \square
Part 1 of 2 (a) Construct a 99%99 \% confidence interval for the true mean length of all Hollywood movies in the last 10 years. Round the answers to at least one decimal place.
A 99%99 \% confidence interval for the true mean length of all Hollywood movies made in the last 10 years is \square <μ<<\mu< \square .

Studdy Solution
Construct the confidence interval:
xˉME<μ<xˉ+ME \bar{x} - \text{ME} < \mu < \bar{x} + \text{ME}
131.15.157<μ<131.1+5.157 131.1 - 5.157 < \mu < 131.1 + 5.157
125.9<μ<136.3 125.9 < \mu < 136.3
The 99% 99\% confidence interval for the true mean length of all Hollywood movies made in the last 10 years is:
125.9<μ<136.3 \boxed{125.9} < \mu < \boxed{136.3}

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