A machine fills boxes weighing Y lb with X lb of salt, where X and Y...
A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with mean 100lb and 5 lb and standard deviation 1 lb and 0.5 lb, respectively. What percent of filled boxes weighing between 104 lb and 106 lb are to be expected?
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A machine fills boxes weighing Y lb with X lb of salt, where X and Y are normal with mean 100lb and 5 lb and standard deviation 1 lb and 0.5 lb, respectively. What percent of filled boxes weighing between 104 lb and 106 lb are to be expected?
A box of oatmeal must contain 1818 oz. The machine that fills the oatmeal boxes is set so that, on average, a box contains 19.2 oz. The boxes filled by the machine have weights that can be closely approximated by a normal curve. What fraction of the boxes filled by the machine are underweight if the standard deviation is 0.4 oz?
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:
A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited into the box is normally distributed with a mean of 24.8 ounces. What does the standard deviation have to be in order for 96% of the boxes to contain 24 ounces or more?
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...
la) If Y and ε are two variables,e-Normal(0, σ), and Y-Ao + AX + ε, where β0, Aand X are constants What is the expected value, variance and standard deviation ofY? lb) A sample data (n-3) is 1, 2, and 4, the sample mean is? The sample standard deviation is?
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?
5. A cereal factory’s machine is adjusted to fill boxes with a mean of 12 ounces and a standard deviation of 0.6 ounces. Assume the amount of fill is normally distributed. a. In order to ensure boxes are not inappropriately filled, they need to be between the 45 and 55 percentiles. How many ounces should be in each box to ensure they fall within the appropriate fill level?
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