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In a random sample of 25 students, it was found that they consumed on average 23...

In a random sample of 25 students, it was found that they consumed on average 23 grams of sugar each day with a standard deviation of 4 grams.

a) Construct a 99% confidence interval for the mean amount of sugar consumed by students.

b) Interpret the confidence interval found in part a.
Math   Statistics-And-Probability   
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Answer #1

a) The 99% confidence interval for the mean amount of sugar consumed by students is ,

Where , df=degrees of freedom=n-1=25-1=24

; From t-table

b) Interpretation: The 99% confident that the true mean amount of sugar consumed by students is fall in the interval ( 20.7624 , 25.2376 )

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