Question

Sodas R and U just installed a new bottling machine. they ran the machine for 1 day and produced 150 bottles pulling 5 off the line to sample. one key factor in the taste of the soda is the bubbly. the lab analyzed the following values for bubbly in the 5 bottles sampled.

11, 2, 14, 6, 10.

What is the interval estimate of bubbly that will provide a 90% confidence level that the mean bubbly of all the bottles of soda is within the interval estimate?

Answer 1

Since we know that

Where n is the number of data points
Now

and n = 5
This implies that

Since we know that



Sample size (n) = 5
Standard deviation (s) = 4.669
Confidence interval(in %) = 90

Since we know that

Required confidence interval = (8.6-4.4513, 8.6+4.4513)
Required confidence interval = (4.1487, 13.0513)
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