Two bottling plants package a certain type of sports drink. suppose the mean volume of all of this type of sports drinks is 20 fluid ounces. bottling plant a bottles approximately 43607 sports drinks per day. bottling plant b bottles approximately 179811 sports drinks per day. on a particular day, which bottling plant is less likely to record a mean volume of 21 fluid ounces for the day? a. the two bottling plants are equally likely to record such a volume because random samples from both plants will have daily mean volumes that vary.

b. bottling plant a (with 50,000 sports drinks per day), because with fewer sports drinks there will be less variability in the daily mean volume.

c. bottling plant b (with 175,000 sports drinks per day), because the daily mean will be closer to 20 fluid ounces with more sports drinks in the sample.

C. Bottling plant B (with 175,000 sports drinks per day), because the daily mean will be closer to 20 fluid ounces with more sports drinks in the sample.

Step-by-step explanation:

The general rule is that the larger the sample, the closer the sample mean will be to the population mean. This happens because the standard deviation of our sample is given by the following formula:

In which is the standard deviation of the mean volume of all of this type of sports drinks and is the size of the sample. So as increases, the less variation there will be, and the closer the sample mean will be to the population mean, that is, the closer the population mean is going to be closer to a mean volue of 20 fluid ounces.

So, the correct answer is:

C. Bottling plant B (with 175,000 sports drinks per day), because the daily mean will be closer to 20 fluid ounces with more sports drinks in the sample.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.