Soft drink cans are filled by an automated filling machine and
the standard deviation is 0.5 fluid ounce. Assume that the fill
volumes of the cans are independent, normal random variables.
Round your answers to four decimal places (e.g. 98.7654).
If the mean fill volume is 12.1 fluid ounces, what should the standard deviation of fill volume equal so that the probability that the average of 100 cans is less than 12 fluid ounces is 0.005?
Soft drink cans are filled by an automated filling machine and the standard deviation is 0.5...
Soft drink cans are filled by an automated filling machine and the standard deviation is 0.5 fluid ounce. Assume that the fill volumes of the cans are independent, normal random variables. Round your answers to four decimal places (e.g. 98.7654). What is the standard deviation of the average fill volume of 100 cans? If the mean fill volume 12.1 ounces, what is the probability that the average fill volume of the 100 cans is less than 12 fluid ounces? What...
The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.4 fluid Ounces and a standard deviation of 0.1 fluid Ounce. (a) What is the probability a fill volume is less than 12 fluid Ounces? (b) If all cans less than 12.1 or greater than 12.6 ounces are scrapped, what proportion of cans is scrapped?
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, normal random variables with a standard deviation of 0.08 fluid ounces. (a)What is the standard deviation of the average fill volume of 23 bags? (b)The mean fill volume of the machine is 6.16 ounces, what is the probability that the average fill volume of 23 bags is below 5.95 ounces? (c)What should the mean fill volume equal in order that...
3. The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.3 fluid ounces and a standard deviation of 0.1 fluid ounce. a) 1] What is the probability that a fill volume is less than 12 fluid ounces? SOLUTION ANS: b) 2] If all cans less than 12.1 or more than 12.5 ounces are scrapped, what proportion of cans is scrapped? SOLUTION: ANS: c) [2] Determine specifications that...
Cans of soft drink are filled by a machine that does not always give exactly the same fill every time. Suppose that the contents of 375 ml cans of one particular brand actually come from a Normal distribution with a mean of 379.2 ml and a standard deviation of 3.5 ml. If you choose a can at random and measure its contents, what is the probability that its contents are 375 ml or more? Hint: You need to standardise this...
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected. (a) Find the probability that the drink is less than 11.9 fluid ounces. (b) Find the probability that the drink is between 11.7 and 11.9 fluid ounces. (c) Find the probability that the drink is more than 12.4 fluid ounces. Can this be considered...
Design specification for a soft drink filling machine is to fill bottles with 12 ounces of soft drink. A random sample of 49 bottles filled by this machine was sampled and the contents measured. If this sample had a mean measurement of 11.9 ounces with a standard deviation of 0.28 ounces, is the machine really under-filling bottles? Test at a 5% significance level. H0: Ha: a: Test Statistic (show set up, not just an answer): Rejection decision and reasoning using...
The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 11.9 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected. ?(a) Find the probability that the drink is less than 11.7 fluid ounces. ? (b) Find the probability that the drink is between 11.4 and 11.7 fluid ounces. ?(c) Find the probability that the drink is more than 12.3 fluid ounces. Can this be...
Soda six-packs Most soda cans list the volume of soda as 12 fluid ounces. As with all process, some variation occurs when filling soda cans. Suppose that a company knows this and tries to over-fill cans a bit, so that the actual volume of soda in a can follows a normal distribution with mean 12.1 fluid ounces and standard deviation .15 fluid ounces. a) What proportion of soda cans filled by this process will contain less than 12 fluid ounces?...
The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 12.3fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected. ?(a) Find the probability that the drink is less than 12 fluid ounces. ?(b) Find the probability that the drink is between 11.9 and 12 fluid ounces. ?(c) Find the probability that the drink is more than 12.9 fluid ounces. Can this be considered an...