Question

# A simple random sample of 31 cans of generic soda had their caffeine levels measured, in...

1. A simple random sample of 31 cans of generic soda had their caffeine levels measured, in milligrams per 12 ounce serving. The data is given below. Find the 99% confidence interval estimate of the mean amount of caffeine in the entire population of this generic soda.

34           35           35           36           36           36           38           38           38           38           38           39           40 40     41           42 43           43           45           45           46           46           47           50           50           51

52            53           55           56           60

We have for given data,
Sample mean =43.42
Sample standard deviation =7.045
Sample size =31
Level of significance=1-0.99=0.01
Degree of freedom =30

t critical value is (by using t table)=   2.75

Confidence interval formula is

=(39.94,46.90)

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