Question

In: Statistics and Probability

A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective...

A manufacturing company produces water filters for home refrigerators. The process has typically produced some defective liters. A random sample of 300 liters yielded 12 defects. Construct and interpret a 90% confidence interval for the true proportion of defective water liters.

Solutions

Expert Solution

We have given here,                              
                              
x=12                          
n=300                          
Estimate for sample proportion                              

Level of significance is =1-0.90=0.1                      
Z critical value(using Z table)=1.645                      

We are 90% confident that the true proportion of defective water liters is between 0.0214 to 0.0586

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The percent defective for parts produced by a manufacturing process is targeted at 4%. The process...
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that today’s sample contains 14 defectives. Determine a 88% confidence interval for the proportion defective for the process today. Place your LOWER limit, rounded to 3 decimal places, in the first blank. For example, 0.123 would be a legitimate answer. Place your UPPER limit, rounded to 3 decimal places, in the...
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of...
A manufacturing process produces 6.6% defective items. What is the probability that in a sample of 40 items: a. 12% or more will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability b. less than 2% will be defective? (Round the z-value to 2 decimal places and the final answer to 4 decimal places.) Probability c) more than 12% or less than 2% will be defective? (Round the z-value to 2...
A widget produced by a particular process has probability .1 of being defective. A test can...
A widget produced by a particular process has probability .1 of being defective. A test can be performed which has 99% accuracy. That is, if a defective widget is tested, the test will identify the widget as defective 99% of the time. And if a non-defective widget is tested, there is a 99% chance that the test will indicate that the widget is not defective. One widget is selected at random and is tested. If the test says that the...
The number of defective items in a manufacturing process is an example of _________ data. a...
The number of defective items in a manufacturing process is an example of _________ data. a discrete b continuous
Halla Corporation produces and sells bottled water. The bottled water produced by the company is sold...
Halla Corporation produces and sells bottled water. The bottled water produced by the company is sold for 500 won per bottle, and the variable cost of producing and selling a bottle of bottled water is 300 won. Meanwhile, the fixed cost incurred in facility investment for the production and sale of the bottled water is 10 million won. Halla Corp. uses 40 million won in debt with an interest rate of 10 percent. Answer the following question. 1. Halla Corporation's...
given that random samples of process A produced 10 defective and 30 good units, while process...
given that random samples of process A produced 10 defective and 30 good units, while process B produced 25 defectives out of 60 units. Using the Chi square test, what is the probability that the observed value of chi swuare could result under the hypothesis that both processes are operating at the same quality level?
A production manager knows that 8.5% of components produced by a particular manufacturing process have some...
A production manager knows that 8.5% of components produced by a particular manufacturing process have some defect. Eight of these components, whose characteristics can be assumed to be independent of each other were examined. a. Write the distribution function in terms of ? and x. b. What is the probability that none of these components has a defect? c. What is the probability that two of the components have a defect? d. What is the probability that between two and...
Chemco produces two chemicals A and B. These chemicals are produced via two manufacturing processes. Process...
Chemco produces two chemicals A and B. These chemicals are produced via two manufacturing processes. Process 1 requires 2 hours of labor and 1 lb of raw materials to produce 2 oz of A and 1 oz of B. Process 2 requires 3 hours of labor and 2 lbs of raw material to produce 3 oz of A and 2 oz of B. Sixty hours of labor and 40 lbs of raw material are available. Demand for Chemical A is...
Chemco produces two chemicals A and B. These chemicals are produced via two manufacturing processes. Process...
Chemco produces two chemicals A and B. These chemicals are produced via two manufacturing processes. Process 1 requires 2 hours of labor and 1 lb of raw materials to produce 2 oz of A and 1 oz of B. Process 2 requires 3 hours of labor and 2 lbs of raw material to produce 3 oz of A and 2 oz of B. Sixty hours of labor and 40 lbs of raw material are available. Demand for Chemical A is...
A quality inspector is worrying about the defective produced in the production process. He wants to...
A quality inspector is worrying about the defective produced in the production process. He wants to test that the average defectives produced are 145 or less. He collects a sample of 25 production runs and found that a sample mean of 150 defectives were produced with a std deviation of 20. With this information he wishes to perform a hypothesis test at 5% significance level. The decision is to: Reject Null; test statistic < critical value (or t test statistic...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT