Statistics
posted by Anonymous .
Bottles of a popular cola contain a mean amount of 300 mL of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with a standard deviation of 3 mL.
a) What is the probability that one randomly selected bottle will contain less than
296 mL of cola?
b) What is the probability that the average of 6 randomly selected bottles will contain less than 296 mL of cola?.

Statistics 
Angela
Z= xu/o
So,
296300/3
= .77
Look at a standard normal distribution table
.2794 is the value from the table.
If you draw the curve, you will know that the area is to the left.
So, you subtract:
.5000 .2794
=.2206 is the probability.
I am not sure about the second part. 
Statistics 
PsyDAG
b) Z = (scoremean)/SEm
SEm = SD/√n
Use same table.
Respond to this Question
Similar Questions

Statistics
A bottling company uses a filling machine to fill glass bottles with mango juice. The bottles are supposed to contain 300 milliliters (ml). In fact the amounts vary according to a normal distribution with mean = 298 and standard dev … 
Stats
A bottling company uses a filling machine to fill glass bottles with mango juice. The bottles are supposed to contain 300 milliliters (ml). In fact the amounts vary according to a normal distribution with mean = 298 and standard dev … 
Probability of Mean (Statistics)
Assume 20 oz. cola bottles are filled so that the mean amount of liquid contained in the bottle is 20 oz and the standard deviation is .12 oz. If a case of 24 bottles is randomly selected from the population of all soda bottles, find … 
Probability/Statistics
Assume 20 oz. cola bottles are filled so that the mean amount of liquid contained in the bottle is 20 oz and the standard deviation is .12 oz. If a bottle is randomly selected, find the probability that the number of ounces in that … 
Statistics
Bottles of a popular cola contain a mean amount of 300 mL of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with a standard deviation … 
Statistics
A brewery's filling machine is adjusted to fill bottles with a mean of 32.6 oz. of ale and a variance of 0.004. Periodically, a bottle is checked and the amount of ale noted. (a) Assuming the amount of fill is normally distributed, … 
Statistics
Cola Corporation produces Orange Cola. The filling machines are adjusted to pour 12 ounces of soda into each 12ounce can. However, the actual amount of soda poured into each can is not exactly 12 ounces; it varies from can to can. … 
Statistics
Cola Corporation produces Orange Cola. The filling machines are adjusted to pour 12 ounces of soda into each 12ounce can. However, the actual amount of soda poured into each can is not exactly 12 ounces; it varies from can to can. … 
Stats.
Another one that I need help.... At Ajax Spring Water, a halfliter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml. (a) … 
statistic
A machine for filling 2liter bottles of soft drink delivers an amount to each bottle that varies from bottle to bottle according to a normal distribution with standard deviation 0.002 liter and mean whatever amount the machine is …