A random sample of 40 cups of coffee from a vending machine had a sample mean volume of coffee dispensed equal to 7.1 oz. with standard deviation s = 0.3 oz. Find a 90% confidence interval for the population mean amount of coffee dispensed per cup.
A random sample of 40 cups of coffee from a vending machine had a sample mean...
A vending machine dispenses coffee, and a random sample of 27 filled cups have contents with a mean of 7.14 oz and a standard deviation of .17 oz. Use a .05 significance level to test the claim that the true mean fill for all cups is greater than 7 oz. You may assume a normal population (n < 30 here; assume that assumption was checked). Fill in and show calculations. Ho S.V. Ha Dec. T.S. Concl. R.R. (draw and label...
Question: An automatic coffee machine dispenses cups of coffee whose volume per cup varies normally and should have the mean μ = 10 oz if it is working correctly. A quality-control researcher randomly selects 8 cups of coffee from the machine and finds that in this sample the mean volume is 9.92 oz. and the standard deviation is 0.23 oz. In this problem, we have made slight changes to the "coffee machine" story above. In which of the options below...
A vending machine dispenses coffee, and a random sample of 27 filled cups have contents with a mean of 7.14 oz and a standard deviation of .17 oz. Use a .05 significance level to test the claim that the true mean fill for all cups is greater than 7 oz. You may assume a normal population (n < 30 here; assume that assumption was checked). Fill in and show calculations. Ho : null hypothesis S.V.: sample value Ha :...
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...
A coffee machine dispenses coffee in cups that contain 7 oz of coffee. For a random sample of 8 cups, the mean amount of coffee in each cup is 7.3 oz. The p-value for this sample data is .23. Does this indicate that the mean amount of coffee in each cup for this machine is more than 7 oz? Claim: The mean amount of coffee in each cup is more than 7 oz. 1. Choose the correct null and alternate...
These are the answers. Can someone help in figuring out how to get them? 15. A coffee machine is adjusted to provide a population mean of 110 ml of coffee per cup and a standard deviation of 5 ml. The volume of coffee per cup is assumed to have a normal distribution. The machine is checked periodically by sampling 12 cups of coffee. If the mean volume, x, of those 12 cups in ml falls in the interval (1 10-2...
The amount of coffee poured into a random sample of five extra-large coffee cups from Tim Hortons was measured, and the 95% confidence interval for the mean amount poured into an extra-large coffee cup in millilitres was (673.0, 721.0). Assume that the distribution of the amount of coffee poured into an extra-large coffee cup is Normal. Which of the following statements is the correct interpretation of the confidence level, and which is the correct interpretation of the confidence interval? a....
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 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...
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...