Question

Assume Coca Bottling is a company producing power drinks. You visited the company and did a sampling of 15 bottles to figure out the average volume of the bottle. You recorded the following data: 17, 16, 17.5, 16.7, 17.3, 15, 17.2, 17, 17.2, 16.8, 17.3, 16.9, 17.4, 17.7, 17.1

a- Find the mean, median mode of the data
b- If the population is normally distributed with a standard deviation of .4 , can we conclude that the average volume is approximately 17
c- How would your answer to the above question if we don't know the population standard deviation
d- How would your answer to part b and c change if we are interested in the average being at least 17
Assume that all answers should be given at a 98% confidence level

Answer 1

We do not do your work for you. However, in case you don't know the basics:

A. To find the mean (μ), add the scores and divide by the number of scores (n).

μ = ΣX/n

Arrange the scores in order of value. The middle-most score will be the median, that score which 50% ofthe scores have a value below it and 50% have a value above.

The mode is the most frequently observed score.

B. Use the Z-score = (X-μ)/SD

Are you sure you aren't looking for the 99.8% confidence level, which would be ±3 standard deviations (SD)?

Now that I've got you started, let's see what you can do.

I hope this helps. If not, repost with new or remaining questions. Thanks for asking.