Question

In: Math

   1.   Suppose that cans of creamed corn are produced in a normal distribution so that the...

   1.   Suppose that cans of creamed corn are produced in a normal distribution so that the average net content weight is 16.00 ounces per can, with a deviation of 0.12 ounces. What is the probability that a sample of 36 cans would have an average net content weight less than 15.91 ounces? Would this be an unusual or not unusal average weight for the sample?

.

2.   Suppose that cans of creamed corn are produced in a normal distribution so that the average net content weight is 16.00 ounces per can, with a deviation of 0.12 ounces. What is the third quintile for sample averages from  samples of 36 cans? (nearest thousandth)

  

3.   Suppose a 98% confidence interval is needed for the average weight of these cans of creamed corn is needed, because someone thinks the average is not the 16 ounces it was supposed to be. If this interval is to have a margin of error of  0.02 oz, how many data points will be needed for the new sample?

4.   Suppose that cans of creamed corn were supposed to be  produced so that the average net content weight is 16.00 ounces per can. However, a sample of 64 weights yields an average of 15. 953 ounces and a deviation of 0.0762 ounces. Use this sample information to create a 98% confidence interval for the population mean (round to the nearest thousandth of an ounce)

Solutions

Expert Solution


Related Solutions

In my pantry there are 4 different cans of corn, and 6 different cans of fruit....
In my pantry there are 4 different cans of corn, and 6 different cans of fruit. Suppose I wish to arrange these 10 cans in a line. How many ways are there to do this if: 1. None of the corm cans can be next to each other (i.e. the corn cans must be kept separate from each other)? 2. All of the cans of fruits must be next to each other? 3. The cans at the start and end...
What is Normal Distribution? Why is it so useful in processing data? Is Normal Distribution a...
What is Normal Distribution? Why is it so useful in processing data? Is Normal Distribution a naturally occurring phenomena or there are factors that allows for Normal Distribution? If so, list those factors. Can all data be processed as Normal? Explain why or why not. From the link below or otherwise list two examples each of a Normal distribution and "Not Normal Distribution"
Why is the standard normal distribution so important for econometrics?
Why is the standard normal distribution so important for econometrics?
Brian Canning Co., which sells canned corn, uses an operation costing system. Cans of corn are...
Brian Canning Co., which sells canned corn, uses an operation costing system. Cans of corn are classified as either sweet or regular, depending on the type of corn used. Both types of corn go through the separating and cleaning operations, but only regular corn goes through the creaming operation. During January, two batches of corn were canned from start to finish. Batch X consisted of 1,800 pounds of sweet corn, and Batch Y consisted of 1,700 pounds of regular corn....
Suppose that ?1, ?2, … ?? are i.i.d RV drawn from a normal distribution N(2,5) distribution...
Suppose that ?1, ?2, … ?? are i.i.d RV drawn from a normal distribution N(2,5) distribution . a. What is the mean and the variance of sample average where i.) n=10, ii) n=100, iii) n=1000.
e) Why is the normal distribution so popular in investment analysis?
e) Why is the normal distribution so popular in investment analysis?
QUESTION FIVE The diameter of shafts produced in a machine follows a normal distribution with the...
QUESTION FIVE The diameter of shafts produced in a machine follows a normal distribution with the variance of 81mm. A random sample of 36 shafts taken from the production has its mean diameter of 30mm. Find a 95% confidence interval for the diameter of shafts. The Marketing manager of a company feels that 42% of retailers will have enhanced weekly sales after introducing an advertisement at the point of sales. A sample of 36 retailers shops of the company, where...
1. Suppose the variable x is represented by a standard normal distribution. What is the probability...
1. Suppose the variable x is represented by a standard normal distribution. What is the probability of x < -0.6? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12). 2. Suppose the variable x is represented by a standard normal distribution. What value of x is at the 90th percentile of the distribution? Equivalently, what is the value for which there is a probability of 0.90 that x...
Suppose that y has a normal distribution with mean 1 and variance 9. What is the...
Suppose that y has a normal distribution with mean 1 and variance 9. What is the probability that y is in the interval [.7, 2.5]?
Suppose that in an automatic filling process of oil in cans, the content of cans the...
Suppose that in an automatic filling process of oil in cans, the content of cans the content of cans in gallons is Y= 50 + X where x is a random variable with density f(x)=1-|x| when |x| ≤0 and 0 when|x| >0, in a lot of 100 cans how many will contain 50 gallons or more? What is the probability that a can will contain less than 49.5 gallons less than 49 gallons? Also find F(x).
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT