Question

In: Statistics and Probability

A soft drink machine is regulated so that the amount of drink dispensed is approximately normally...

A soft drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with a standard deviation equal to 1.5 deciliters. Find the 95% confidence interval for the mean of all soft drinks dispensed by this machine if a random sample of 36 drinks had an average content of 22.5 deciliters. What statistical table to be used? What is the tabular value? What is the computed lower confidence limit? What is the computed upper confidence limit?

Solutions

Expert Solution


Related Solutions

The amount of coffee dispensed by a drink vending machine is normally distributed with a mean...
The amount of coffee dispensed by a drink vending machine is normally distributed with a mean of 12.1 oz. What is the probability that a randomly selected cup of coffee has more than 12.8 oz? Assume that the standard deviation for all drink vending machines is 0.38
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.8 ounces per cup. If the amount of drink is normally distributed with a standard deviation equal to 0.5 ounces, Part a: What is the probability that a cup will contain more than 7.72 ounces? Part b: What is the probability that a cup contains between 6.72 and 7.06 ounces? Part c: How many cups will overflow if 7.8-ounce cups are used for the next 1000 drinks? Part...
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup....
A soft-drink machine is regulated so that it discharges an average of 6.6 ounces per cup. The amount of drink is normally distributed with a standard deviation equal to 0.5 ounces. Part 1:  (3 points ) What is the probability that a cup will contain more than 7.54 ounces? Part 2:  (3 points ) What is the probability that a cup contains between 6.54 and 7.06 ounces? Part 3: (4 points ) Suppose we want to regulate this machine so that only...
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed,...
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 11.6 and 11.7 fluid ounces. ​(c) Find the probability that the drink is more than 12.3 fluid ounces. Can this be considered...
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed,...
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.711.7 fluid ounces and a standard deviation of 0.30.3 fluid ounce. A drink is randomly selected. ​(a) Find the probability that the drink is less than 11.511.5 fluid ounces. ​(b) Find the probability that the drink is between 11.311.3 and 11.511.5 fluid ounces. ​(c) Find the probability that the drink is more than 12.312.3 fluid ounces. Can this be considered...
The amounts a soft drink machine is designed to dispense for each drink are normally distributed,...
The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 11.7 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 11.6 fluid ounces. (b) Find the probability that the drink is between 11.5 and 11.6 fluid ounces. (c) Find the probability that the drink is more than 12 fluid ounces. Can this be considered...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters​? b. What is the probability that the sample mean will be below 1.98 liters​? c. What is the probability that the sample mean will be greater than 2.01 ​liters? d....
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of...
The fill amount of bottles of a soft drink is normally​ distributed, with a mean of 2.0 liters and a standard deviation of 0.07 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be below 1.98 liters​? b. What is the probability that the sample mean will be greater than 2.01 ​liters? c. The probability is 99​% that the sample mean amount of soft drink will be at least...
The fill amount of bottles of a soft drink is normally distributed, with a mean of...
The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.04 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 1.99 and 2.0 liters ? b. What is the probability that the sample mean will be below 1.98 liters ? c. What is the probability that the sample mean will be greater than 2.01...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT