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A study of 24 forwards in soccer showed that their average number of goals in a...

A study of 24 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.

Math   Statistics-And-Probability   
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Answer #1

t critical value at 0.05 level with 23 df = 2.069

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

12 - 2.069 * 2 / sqrt(24) < < 12 + 2.069 * 2 / sqrt(24)

11.155 < < 12.845

95% CI is ( 11.155 , 12.845 )

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