Question
In: Statistics and Probability
A study of 36 forwards in soccer showed that their average number of goals in a...
A study of 36 forwards in soccer showed that their average number of goals in a season was 12 with a standard deviation of 2. Construct the confidence interval for the average number of goals in a season. Remember to put the numbers in the formula first and then use the calculator to compute the confidence interval.
Solutions
Expert Solution
Answer:
Given that,
A study of 36 forwards in soccer showed that their average number
of goals in a season was 12 with a standard deviation of 2.
i.e,
n=36,
=12
and s=2
Construct the confidence interval for the average number of goals in a season:
We construct a 95% confidence interval. We use the
t-distribution.
The degrees of freedom=n-1=36-1=35
At a 95% confidence interval,
=1-95%=1-0.95=0.05
From the t-table, at
=0.05, df=35 the t-critical value is t=2.07.
The 95% confidence interval is,
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