. (18 points) Many students have complained that the soft drink vending machine in the student...
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 certain vending company's soft-drink dispensing machines are supposed to serve 6 oz of beverage. Various machines were sampled, and the resulting amounts of dispensed drink (in ounces) were recorded, as shown in the following table. Does this sample evidence provide sufficient reason to reject the null hypothesis that all five machines dispense the same average amount of soft drink? Use α = .01? Machines A B C D E 4.0 6.5 3.9 6.1 5.0...
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 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. a) Estimate the probability that the machine will overflow an 8-ounce cup. (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (c) The machine has just been loaded with 850 cups. How many of...
A certain vending company's soft-drink dispensing machines are supposed to serve 6 oz of beverage. Various machines were sampled, and the resulting amounts of dispensed drink (in ounces) were recorded, as shown in the following table. Does this sample evidence provide sufficient reason to reject the null hypothesis that all five machines dispense the same average amount of soft drink? Use α= .01? Machines A B C D E 4.1 7.2 4.0 6.3 5.7 3.8...
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 7.6 ounces and standard deviation of 0.4 ounce. Examine the figure below and answer the following questions. (a) Estimate the probability that the machine will overflow an 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...
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...
A soft drink machine is programmed to dispense an average of 400mL per small cup. Suppose the distribution of the amount of drink dispensed is normall distributed with a standard deviation of 13mL. Suppose a random sample of 100 filled small cups is obtained. a. What's the probability the average amount of soda dispensed in the 100 small cups is less than 390mL? b.What's the probability the average amount of soda dispensed in the 100 small cups is between 375mL...
A soft drink vending machine, when in perfect adjustment, fills bottles with 12 ounces of soft drink. A random sample of 25 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces, with a sample standard deviation of 0.24 ounce. With a .05 level of significance, test to see if the machine is in perfect adjustment. Assume the distribution of the population is normal. Group of answer choices t = -2.5; therefore, reject...
A vending machine at Ian Anderson’s Bowling Alley automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of 0.2 ounces. What percent of cups will be between 7.4 ounces and 8.2 ounces? What percent of 8 ounce cups will overflow (be over 8 ounces)? Suppose the machine is loaded with 1000 cups. How many of these cups do you expect will...
A vending machine is designed to discharge at least 275mL of drink per cup on average. A number of customers complain that this is not the case and they are getting less than this amount. In response to the complaints, a random sample of 30 cups is taken in order to conduct an appropriate hypothesis test for the population mean, using a 5% level of significance. (Note: Assume that the population standard deviation is 14mL.) Calculate the probability of Type...