1. When a manufacturing process is operating properly, the mean length of a certain part is...
(1 point) An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 4.9 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 3 are randomly selected, all...
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 111 cm and a standard deviation of 5.5 cm. A. Using Excel, find the probability that one selected subcomponent is longer than 113 cm. Probability = B. Using Excel, find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 113 cm. Probability =
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed, with mean 117 cm and standard deviation 2.1 cm. If three units are selected at random find the probability that exactly two have lengths exceeding 120 cm. (Round your answer to 4 decimal places)
Screws Inc. has asked for assistance in determining whether the manufacturing process is operating correctly. When the process is operating properly, it produces screws whose weights are normally distributed with a population mean of 5 grams and a population standard deviation of 0.1 grams.The manager wishes to know if the recent change to a new materials supplier has lowered the weight of the screws. In a random sample of 16 screws, the sample mean weight is 4.962 grams. Is there...
QUESTIONS 1. When operating usually, a manufacturing process produces tablets for which the mean weight of the active ingredient is 5 grams, and the standard deviation is 0.025 gram. For a random sample of 12 tablets the following weights of active ingredient (in grams) were found: 5.01 4.69 5.03 4.98 4.98 4.95 5.00 5.00 5.03 5.01 5.04 4.95 a.Without assuming that the population variance is known, test the null hypothesis that the population mean weight of active ingredient per tablet...
9.The mean of a certain production process is known to be 50 with a standard deviation of 2.5. The production manager may welcome any change is mean value towards higher side but would like to safeguard against decreasing values of mean. He takes a sample of 12 items that gives a mean value of 48.5. What inference should the manager take for the production process on the basis of sample results? Use 5 per cent level of significance for the...
During the manufacturing of commercial windows, hot steel ingots are passed though a rolling process and flattened to a prescribed thickness. When the manufacturing process is working properly the ingots should have a mean thickness of 0.75 inches. A random sample of 40 ingots is taken and the mean was found to be 0.725 inches with a standard deviation of 0.092. a. Find a 95% confidence interval for the population mean thickness. b. Find the error bound. c. Interpret the...
5. The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of σ= 0.0001 inch. A random sample of 10 shafts has an average diameter of 0.2545 inches. (a) Set up the appropriate hypotheses on the mean μ (b) Test these hypotheses using α: 0.05, what are your conclusions? (c) Find the P-value for this test. P 2.6547x1055
A certain insect has lengths that are normally distributed. The insect has a mean length of 32.4 mm and a standard deviation of 2.5mm. What percent of these insects have a length over 34mm?
A company claims that a new manufacturing process changes the mean amount of aluminum needed for cans and therefore changes the weight. Independent random samples of aluminum cans made by the old process and the new process are taken. The summary statistics are given below. Is there evidence at the 5% significance level (or 95% confidence level) to support the claim that the mean weight for all old cans is different than the mean weight for all new cans? Justify...