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5. Problem 5: A bottling machine can be regulated so that it discharges an average of...
A soft-drink vending machine can be regulated to ensure that it dispenses an average of 6...
A soft-drink vending machine can be regulated to ensure that it dispenses an average of 6 oz. of soft drink per glass. If the ounces dispensed per glass are normally distributed with a standard deviation of 0.3 oz., find the probability for a sample of 5 bottles, that the machine will average more then 6.3 ounces.
A machine used to fill gallon-sized paint cans is regulated so that the amount of paint...
A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 120 ounces and a standard deviation of 0.30 ounce You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 119.9 ounces. Does the machine need to be reset? Explain your reasoning it is that you would have randomly sampled 40 cans with a mean equal to 119.9 ounces, because it within the...
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16-...
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16- ounce bottles. There is some variation, however, in the amounts of liquid dispensed into the bottles that are filled. The amount dispensed has been observed to be approximately normally distributed with mean 16 ounces and standard deviation 1 ounce (a) Determine the proportion of bottles that will have more than 17 ounces dispensed into them. (b) Suppose bottles are rejected if they have more...
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly,...
A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the mean amount poured into the bottles is 16.05 ounces with a standard deviation of .2005 ounces. If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the observations should occur in what interval? Round answers to four decimal places.
A random sample of 10 filled sports drink bottles is taken in one bottling plant, and...
A random sample of 10 filled sports drink bottles is taken in one bottling plant, and the mean weight of the bottles is found to be 22 ounces with a variance of 0.09 ounces squared. At another plant, 10 randomly selected bottles have a mean weight of 21 ounces with a variance of 0.04 ounces squared. Assuming the weights in both populations are normally distributed and the population variances are equal, test whether there is difference between the average weights...
The Crown Bottling Company has just installed a new bottling process that will fill 11-ounce bottles...
The Crown Bottling Company has just installed a new bottling process that will fill 11-ounce bottles of the popular Crown Classic Cola soft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, u, is close to the target fill of 11 ounces. To this end, a random sample...
the amount dispensed by a canning machine into each can of beans, y is normally distributed...
the amount dispensed by a canning machine into each can of beans, y is normally distributed with a mean of 14 ounces and a standard deviation of .12 ounce. Suppose we take a random sample of 20 cans filled by this machine. find the probability that the sum of amounts dispensed into the 20 cans is between 279 and 281 ounces
A company that manufactures and bottles apple juice uses a machine that automatically fills 24-ounce bottles....
A company that manufactures and bottles apple juice uses a machine that automatically fills 24-ounce bottles. There is some variation, however, in the amount of liquid dispensed into the bottles. The amount dispensed has been observed to be approximately normally distributed with mean 24 ounces and standard deviation 1 ounce. Determine the proportion of bottles that will have more than 22 ounces dispensed into them. (Round your answer to four decimal places.) 0.5000 X oz You may need to use...
A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and...
A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with more than 21.3 ounces or are you more likely to select a sample of eight bottles with a mean amount of more than 21.3 ounces? Explain.
12. The Crown Bottling Company has installed a new bottling process that will fill 12-ounce bottles...
12. The Crown Bottling Company has installed a new bottling process that will fill 12-ounce bottles of Cola. Both overfilling and underfilling of bottles is undesirable. The company wishes to see whether the mean bottle fill, μ, is equal to the target of 12 ounces. The company samples 43 bottles. The sample mean is 11.91 and the standard deviation is such that σ=0.11. a) Use a hypothesis test, at a 1% level of significance to determine whether the filler should...
A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 120 ounces and a standard deviation of 0.30 ounce You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 119.9 ounces. Does the machine need to be reset? Explain your reasoning it is that you would have randomly sampled 40 cans with a mean equal to 119.9 ounces, because it within the...
8. A company that manufactures and bottles apple juice uses a machine that automatically fills 16- ounce bottles. There is some variation, however, in the amounts of liquid dispensed into the bottles that are filled. The amount dispensed has been observed to be approximately normally distributed with mean 16 ounces and standard deviation 1 ounce (a) Determine the proportion of bottles that will have more than 17 ounces dispensed into them. (b) Suppose bottles are rejected if they have more...
The Crown Bottling Company has just installed a new bottling process that will fill 11-ounce bottles of the popular Crown Classic Cola soft drink. Both overfilling and underfilling bottles are undesirable: Underfilling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, u, is close to the target fill of 11 ounces. To this end, a random sample...
A company that manufactures and bottles apple juice uses a machine that automatically fills 24-ounce bottles. There is some variation, however, in the amount of liquid dispensed into the bottles. The amount dispensed has been observed to be approximately normally distributed with mean 24 ounces and standard deviation 1 ounce. Determine the proportion of bottles that will have more than 22 ounces dispensed into them. (Round your answer to four decimal places.) 0.5000 X oz You may need to use...
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