2. A machine is supposed to produce metal rods with a length of 8.30 cm. The...
14. We want to determine the mean length of metal rods produced by factory by sampling a random selection of metal rods. Previous records indicate the average length of the metal rods is 3.35 meters, with a standard deviation 0.15 meters. The factory is trying out a new manufacturing method and wants to determine whether this new method affects the mean length of the metal rods. a. State the null and alternative hypotheses. b. How many metal rods do we need...
Lazurus Steel Corporation produces iron rods that are supposed to be inches long. The machine that makes these rods does not produce each rod exactly inches long. The lengths of the rods vary slightly. It is known that when the machine is working properly, the mean length of the rods made on this machine is inches. The standard deviation of the lengths of all rods produced on this machine is always equal to inch. The quality control department takes a...
Lazarus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed, and they vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to .035 inch. The...
3. A machine produces metal rods used in an automobile suspension system. A random sample of 12 rods is selected and the diameter is measured. The resulting data in mm, are shown here: 8.23 8.29 8.19 8.14 8.31 8.19 8.29 8.32 8.42 8.24 8.30 8.40 Find a two-sided 95% confidence interval for the mean rod diameter. State the assumption necessary to find the confidence interval. (5 marks) Is there any evidence to indicate that mean rod diameter exceeds 8.20 mm...
9.29 Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are approximately normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to.035 inch. The...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...
A steel factory produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of these rods vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. According to design, the standard deviation of the lengths of all rods produced on this machine is always equal to .05 inches. The quality control...
A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.20 8.25 8.18 8.25 8.22 8.20 8.28 8.28 8.18 8.24 8.25 8.25 8.17 8.26 8.22 8-80 Consider the suspension rod diameter measurements described in Exercise 8-40 (use the modified data of 8-40 as given in Chapter 8 homework problems), compute a 99% prediction interval on the diameter of...
A product is designed to have length of 20.cm+/ 0.1 cm. The output of the manufacturing process is identified to be centered at 20.0155 cm and the standard deviation is estimated at .069 cm. Determine the capability of the system Cp A product has a target length of 20.0 cm, and the process has a standard value for the standard deviation of 0.05 cm. Calculate the standard deviation control chart upper limit when the sample size is 5" A product...
Steel rods we ma d ured with a mean length of 21 centimeter (cm) Because of variability in the manufacturing process the length of the rods are approximately normally distributed with a standard deviation of 006 om Complete parts(a) to d) (a) What proportion of rods has a length less than 20 9 cm? Round to four decimal places as needed) Any rods that we shorter than 2006 cm or longer than 21.14 cm are discarded What proportion of rods...