The box fill weight of Frosted Flakes breakfast cereal follows the normal probability distribution with a mean of 12.75 ounces and a standard deviation of 1.27 ounces. A sample of 25 boxes filled this morning showed a mean of 13.85 ounces. Can we conclude that the mean weight is more than 12.75 ounces per box?
The box fill weight of Frosted Flakes breakfast cereal follows the normal probability distribution with a...
13 A package-filling device is set to fill cereal boxes with a mean weight of 24 ounces of cereal per box. The standard deviation of the amount actually put into boxes is known to be 0.55 ounces. A random sample of 25 filled boxes is taken, and each is weighted, yielding a mean weight of 24.25 ounces. Test at 0.02 significance level to determine whether the device is working properly. (6 points).
58. Cereal A company's cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ 9.70 ounces and standard deviation σ = 0,03 ounce. (a) What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal? (b) Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal...
part f please
6. The weight of boxes of cereal follows a normal distribution with a mean of 1.000 grams and a standard deviation of 40 grams. (a) A box is rejected by the quality control department if its weight is below 950 grams. What percentage of boxes will be rejected? (4 marks) (b) Find the percentage of boxes whose weight is between 980 grams and 1,010 grams. (4 marks) I (c) Find the percentage of boxes whose weight is...
A machine fills boxes of cereal in a factory. The average weight of cereal in a random sample of 17 boxes is calculated to be 350 grams and the sample standard deviation is calculated to be 8 grams. Weights of cereal per box are known to follow a normal distribution. We calculate a 90% confidence interval for the true mean weight of cereal per box. The margin of error for the appropriate confidence interval is:
Cereal A box of Raspberry Crunch cereal contains a mean of 13 ounces with a standard deviation of 0.5 ounce. The distribution of the contents of cereal boxes is approximately Normal. What is the probability that a case of 12 cereal boxes contains a total of more than 160 ounces? Show all work.
The mean weight of a box of cereal filled by a machine is 18.0 ounces, with a standard deviation of 0.4 ounce. If the weights of all the boxes filled by the machine are normally distributed, what percent of the boxes will weigh the following amounts? (Round your answers to two decimal places.) (a) less than 17.5 ounces (b) between 17.8 and 18.2 ounces
26. A machine fills boxes of cereal in a factory. The average weight of cereal in a randonm sample of 17 boxes is calculated to be 1350 grams and the sample standard deviation is calculated to be 8 grams. Weights of cereal per box are known to follow a normal distribution. We calculate a 95% donfidence interval for the true mean weight ot cereal per box. The margin of error for the appropriate confidence interval i (A) 3.19 (B) 3.38...
The weight of the contents of a type of box of cereal is normally distributed with population mean μ = 30 ounces and population standard deviation σ = 3.2 ounces. A random sample (size n = 25) is taken. What is the probability that the sample mean is less than 31.74 ounces?
3. The packaging process in a breakfast cereal company has been adjusted so that an average of μ = 13.0 oz of cereal is placed in each package. The standard deviation of the actual net weight is σ = 0.1 oz and the distribution of weights is known to followthe normal probability distribution. a. what is the population mean weight of the packaging process? b. what is the population standard deviation of the packaging process? c. what proportion of cereal...
2. Boxes of sugar are filled by machine with considerable accuracy. The distribution of box weights is normal and has a mean of 32 ounces with a standard deviation of 2 ounces. A quality control inspector takes a sample of n=16 boxes and finds that the sample mean is 31 ounces of sugar. What is the probability of obtaining such a sample with this much shortchanging in its boxes? Should the inspector suspect that the filling machinery needs repair?