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A vending machine dispenses coflee into a söteen-ounce cup. The amount of coffee dispensed into the...
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into...
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.7 ounces and standard deviation of 0.3 ounce. Examine the figure below and answer the following questions. a.) Estimate the probability that the machine will overflow and 8-ounce cup. (Round your answer to two decimal places.) b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal...
1. A vending machine that dispenses coffee into cups must fill the cups with 7.8 oz...
1. A vending machine that dispenses coffee into cups must fill the cups with 7.8 oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8 oz of coffee. A sample of 20 amounts is shown here. Assume that the amount of coffee dispensed is normally distributed. 7.78 7.79 7.82 7.82 7.87 7.84 Ounces Dispensed 7.80 7.80 7.83 7.85 7.82 7.78 7.75...
Problems 6 - 8: Suppose that the amount of coffee in each cup dispensed by a...
Problems 6 - 8: Suppose that the amount of coffee in each cup dispensed by a vending machine follows a normal distribution. A coffee vending machine is configured so that mean of all of the cups of coffee it dispenses is u = 12.0 ounces with a standard deviation o = 0.8 ounces. The mean of the distribution can be set by adjusting the filling machinery, while the standard deviation reflects the precision of the filling machinery. During a quality...
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 coffee vending machine is set to fill a cup with an average of 6.5 ounces...
A coffee vending machine is set to fill a cup with an average of 6.5 ounces of soft drink. The amount of fill varies. Sometimes the machine overfills the cup until it overflows and sometimes it fills it under the legal minimum. Suppose the amount of fill, X, follows the Normal distribution with an average of 6.5 ounces and a standard deviation of 0.3 ounces. What is the probability that a 7-ounce cup overflows, that is, find P(X>7)? Given the...
A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and...
A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 61 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes ...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate...
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contai...
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample of eight cups of coffee from this machine show the average content to be 7.4 ounces with a standard deviation of 0.70 ounce. Do you think that the machine has slipped out of adjustment and that the average amount of coffee per cup is different from 7 ounces? Use a 5% level of significance. What are we testing...
Lemonade cup vending machines at JJ Café pour lemonade into cups. The amount of lemonade dispensed...
Lemonade cup vending machines at JJ Café pour lemonade into cups. The amount of lemonade dispensed has approximately a normal distribution with μ= 7.7 ounces and a standard deviation of σ= 0.41 ounces. Suppose that we randomly select 150 lemonade cups. Let X be the random variable representing the mean amount of lemonade in ounces and let Xtot be the random variable representing the sum of the amounts of ounces of lemonade in the 150 selected cups. e) What is...
A soft-drink machine is regulated to discharge an average of 7 ounce per cup. The amount...
A soft-drink machine is regulated to discharge an average of 7 ounce per cup. The amount of drink is considered normally distributed with a standard deviation of 0.5 ounce. What is the probability that a cup chosen at random will contain 7. C2 7,8 a) between 6.5,andR2 ounce? b) exactly 7.0 ounce? c) less than 7.3 ounce? d) If the cups hold exactly 8 ounces, what is the probability that a cup will overflow? e) What should be cup's size...
1. A vending machine that dispenses coffee into cups must fill the cups with 7.8 oz of liquid. Before selling the vending machine to a college or business, the company tests the machine to be sure it is dispensing an average amount of 7.8 oz of coffee. A sample of 20 amounts is shown here. Assume that the amount of coffee dispensed is normally distributed. 7.78 7.79 7.82 7.82 7.87 7.84 Ounces Dispensed 7.80 7.80 7.83 7.85 7.82 7.78 7.75...
Problems 6 - 8: Suppose that the amount of coffee in each cup dispensed by a vending machine follows a normal distribution. A coffee vending machine is configured so that mean of all of the cups of coffee it dispenses is u = 12.0 ounces with a standard deviation o = 0.8 ounces. The mean of the distribution can be set by adjusting the filling machinery, while the standard deviation reflects the precision of the filling machinery. During a quality...
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more that that on average, the corporation may lose money, and if it dispenses less, the customers may complain BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate...
A soft-drink machine is regulated to discharge an average of 7 ounce per cup. The amount of drink is considered normally distributed with a standard deviation of 0.5 ounce. What is the probability that a cup chosen at random will contain 7. C2 7,8 a) between 6.5,andR2 ounce? b) exactly 7.0 ounce? c) less than 7.3 ounce? d) If the cups hold exactly 8 ounces, what is the probability that a cup will overflow? e) What should be cup's size...
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