Another Math Statistical Question
posted by Johnny .
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

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 middlemost 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 Zscore = (Xμ)/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.
Respond to this Question
Similar Questions

Math
Please double check In a bottling company, a machine can fill a 2liter (l) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2l bottles can be filled by the machine in 2 h? 
math
Please double check In a bottling company, a machine can fill a 2liter (l) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2l bottles can be filled by the machine in 2 h? 
Math
Business and finance. In a bottling company, a machine can fill a 2liter (L) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2L bottles can be filled by the machine in 2 h? 
Math
In a bottling company, a machine can fill a 2liter (L) bottle in 0.5 seconds and move the next bottle into place in 0.1 s. How many 2l bottles can be filled by the machine in 2 h? 
math
In a bottling company, a machine can fill a 2liter (L) bottle in 0.5 second (s) and move the next bottle into place in 0.1 s. How many 2L bottles can be filled by the machine in 2 h? 
basic math
In a bottling company, a machine can fill a 2liter bottle in 0.5 seconds and move the next bottle into place in 0.1 seconds. How many 2liter bottles can be filled by the machine in 2 hours? 
math
Business and finance. In a bottling company, a machine can fill a 2liter bottle in 0.5 seconds and move the next bottle into place in 0.1 second how many 2L bottles can be filled by the machine in 2 hour? 
statistics
A bottling commpany produces bottles that hold 10 ounces of liquid . Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 25 bottles and … 
Algebra 2
A bottling company is filling 32 oz bottles of water. A bottle is accepted if it contains between 32.85 and 31.15 oz of water. What absolute value inequality describes the tolerance of volume of water in the bottle? 
Math
The Abc company sells bottles of shampoo for $9 each. It costs the company $3 to make each bottle and they have fixed costs of $4700 each month. If x represents the number of bottles the company makes and sells each month, write he …