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.

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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,

orchestra answered 1 year ago

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