Question

Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package...

Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package weight is not 16 ounces or more for a population of packages with label weight 16 ounces, then the company will be prosecuted. In this situation we, as the regulators, could prosecute only if we found strong evidence that the mean package weight was less than 16 ounces. Thus, our objective is to verify that the mean package weight, is not 16.0 ounces or more. Suppose that for this problem the population standard deviation is s = 0.4 and we obtain a random sample of 25, with an average of 18 ounces. Assume α = 0.05. Is the population mean package weight more than 16.0 ounces? Draw a bell shape and state which region is rejected.

i dont know how to draw the bell shape and which region should be rejected

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package...
Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package weight is not 16 ounces or more for a population of packages with label weight 16 ounces, then the company will be prosecuted. In this situation we, as the regulators, could prosecute only if we found strong evidence that the mean package weight was less than 16 ounces. Thus, our objective is to verify that the mean package weight, is not 16.0 ounces or...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.15 ounces so that the probability of producing a package that contains less than 8 ounces is very small. A sample of 30 packages is selected periodically and weighed, and the packaging process is stopped if there is evidence that the mean packaged amount is...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.  Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that the probability of producing a package that contains less than 8 ounces is very small.  A sample of 50 packages is selected periodically and weighed, and the packaging process is stopped if there is evidence that the mean packaged amount is statistically different...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8​ ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected​ periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in...
A machine that is programmed to package 3.30 pounds of cereal is being tested for its...
A machine that is programmed to package 3.30 pounds of cereal is being tested for its accuracy. In a sample of 49 cereal boxes, the sample mean filling weight is calculated as 3.39 pounds. The population standard deviation is known to be 0.14 pound. [You may find it useful to reference the z table.] a-1. Identify the relevant parameter of interest for these quantitative data. The parameter of interest is the proportion filling weight of all cereal packages. The parameter...
A machine that is programmed to package 5.69 pounds of cereal is being tested for its...
A machine that is programmed to package 5.69 pounds of cereal is being tested for its accuracy. In a sample of 100 cereal boxes, the sample mean filling weight is calculated as 5.69 pounds. The population standard deviation is known to be 0.05 pound. Use Table 1.    a-1. Identify the relevant parameter of interest for these quantitative data. The parameter of interest is the average filling weight of all cereal packages. The parameter of interest is the proportion filling...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling...
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected​ periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in...
A machine that is programmed to package 5.20 pounds of cereal is being tested for its...
A machine that is programmed to package 5.20 pounds of cereal is being tested for its accuracy. In a sample of 100 cereal boxes, the sample mean filling weight is calculated as 5.26 pounds. The population standard deviation is known to be 0.08 pound. [You may find it useful to reference the z table.] a-1. Identify the relevant parameter of interest for these quantitative data. Multiple choice, pick one answer. -The parameter of interest is the proportion filling weight of...
The average weight of a package of rolled oats is supposed to be at least 16...
The average weight of a package of rolled oats is supposed to be at least 16 ounces. A sample of 18 packages shows a mean of 15.81 ounces with a standard deviation of .48 ounce. (a) At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule. a. H0: μ ≥ 16. Reject H0 if p > 0.05 b. H1: μ < 16. Reject H1 if p < 0.05...
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container....
Q1) Suppose a production line operates with a mean filling weight of 16 ounces per container. Since over- or under-filling can be dangerous, a quality control inspector samples of 24 items to determine whether the filling weight must be adjusted. The sample revealed a mean of 16.32 ounces with a sample standard deviation of 0.8 ounces. Using a 0.10 level of significance, can it be concluded that the process is out of control (not equal to 16 ounces)? Q2) A...