A supplier contract calls for a key dimension of a part to be between 1.96 and 2.04 centimeters. The supplier has determined that the standard deviation of its process, which is normally distributed, is 0.03 centimeter.
If the actual mean of the process is 1.98, what fraction of parts will meet specifications?
If the mean is adjusted to 2.00, what fraction of parts will meet specifications?
How small must the standard deviation be to ensure that no more than 2% of parts are nonconforming, assuming the mean is 2.00?
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Sos please help!!1 The design specifications require that a key dimension of a product must be between 19 and 21 cm. A process that is being used for producing this product has a mean of 20 and standard deviation (sigma) of 0.5 cm. Is this process capable of meeting the specifications? What should be the standard deviation (sigma) of the process that will meet the specifications? (20 Points)
Need help doing 28.3 and 28.4! 28. Consider the following table: Part Test 1 Test 2 Test 3 X-bar 1 383.75 373.75 446.25 401.25 72.5 125 2 406.25 531.25 3 368.75 5 457.5 270 398.75 345.8333 128.75 401.5278 108.75 Averages 28.1 Set up the control limits for an X-bar and R Chart for the table above. 28.2 If the specifications are set at 435 t 45, and the process output is normally distributed, estimate the fraction nonconforming. 28.3 If the...
Part Test 1 Test 2 Test 3 X-bar R 1 383.75 373.75 446.25 401.25 72.5 2 406.25 531.25 435 457.5 125 3 368.75 270 398.75 345.8333 128.75 Averages 401.5278 108.75 1. If the specifications are set at 435 ± 45, and the process output is normally distributed, estimate the fraction nonconforming. 2. If the process mean shifts to 415 and the standard deviation simultaneously shifts to 10. Find the probability of detecting this shift on the X-bar chart on the...
In-Class Exercise - Cpk Problem Design specifications require that a key dimension on a product measure 110 + 13 units. A process being considered for producing this product has with a mean of 110 units and a standard deviation of four units. a. What can you say (quantitatively) regarding the process capability? b. Suppose the process average shifts to 98 units. Calculate the new process capability. c. What can you say about the process after the shift? Approximately what percentage...
QC Problem 1 Specifications for a critical part for a DVD player state that the part should weigh between 22 and 26 ounces. The process that produces the parts yields a mean of 24.5 ounces and a standard deviation of 0.85 ounce. The distribution of the weights of the part is normal. Hint: this is an application of the normal distribution. A similar problem appeared in the reliability chapter assignment. a) What percentage of parts will meet the weight specifications?...
A grocer has a contract with a produce wholesaler that specifies that the wholesaler will supply the grocer with grapefruit that weigh at least.75 pounds each. In order to monitor the grapefruit weights, the grocer randomly selects three grapefruit from each of 25 different crates of grapefruit received from the wholesaler. Each grapefruit's weight is determined and, therefore, 25 subgroups of three grapefruit weights are obtained. When i and R charts based on these subgroups are constructed, we find that...
t a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 10 centimeter and a standard deviation of 2.1 centimeter. A random sample of 24 computer chips is taken. What is the probability that the sample 2. A mean will be between 10.95 and 11.05 centimeters? The personnel director of a large corporation wants to study absenteeism among clerical workers at the corporation's central office during the year. A random sample of 25...
Can Anyone help me with these 7 questions? Questions: Q1. A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05) (a) What is the value of the sample mean? (b) One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI? Why? Q2. A civil engineer is analyzing the compressive strength of concrete. Compressive strength...
i need help now please i dont get it. !!! Question Help o Steel rods are manufactured with a mean length of 25 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Complete parts (a) to (d) (a) What proportion of rods has a length less than 24.9 cm? (Round to four decimal places as needed.) (b) Any rods that are shorter than 24...
THE BIG D COMPANY The Big D Company of Dallas, Texas, was a family owned, conservatively managed company. For over forty years the company enjoyed slow, steady growth in reaching its current employment level of just over 200. All expansions were financed entirely out of earnings. As the company grew, its operating procedures were periodically re-examined and modified to cope with the complex problems that accompany growth. The company developed, manufactured, and sold metering and flow control devices used in...