MindTap Business Statistics for Ragsdale's Spreadsheet Modeling & Decision Analysis, 8th Edition, [Instant Access], 2 terms (12 months)
8th Edition
ISBN: 9781337274876
Author: Cliff Ragsdale
Publisher: Cengage Learning US
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The process capability index (Cp) may mislead if:
(I) the process is not stable.
(II) the process output is not normally distributed.
(III) the process is not centered.
T = -25°C
A 0.5 m × 1 m double paned window is made of two
silica glass panes 1 cm thick, with air in between.
Under steady conditions, linear (constant gradient) Outdoors
temperature profiles are found in both silica panes, as
well as the air. If the room (and the inner surface of h=18Wm²K
the inner glass pane) is at a temperature of 25°C, while
outdoors it is -25°C with a convection coefficient of
18 W m² K-1, what is the rate of heat loss through the
window? What is the rate of heat loss if the room
temperature is decreased to 20°C? Finally, what is the
rate of heat loss for a room temperature of 25°C, but
with one of the panes (and the air) removed?
1 cm
1 cm
Room Temperature, 25° C
or 20º C
0.5 mm
Air,
k=0.024 W m¹ K¹
Silica glass,
k = 0.90 W m³ K
Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to
produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of 10.024 inch. The CNC process that
manufactures these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch.
Which of the following statements is true concerning the process capability ratio and process capability index?
The process is off center and incapable.
The process is centered, but incapable.
The process is capable and centered.
The process is capable, but off center.
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- A manufacturing company produces steel rods. The length of these rods is critical to their customers. The company aims to manufacture rods with a mean length of 150 cm. However, due to variability in the manufacturing process, the lengths of the rods follow a normal distribution. The company's quality control department samples 30 rods and finds that they have a mean length of 151 cm and a standard deviation of 2 cm. Calculate the Process Capability Index (Cp) and the Process Performance Index (Ppk) for this process. Assume the customer's specification limits are 147 cm and 153 cm for the length of the rods.arrow_forward16. Six per cent, on average, of manufactured spindles are outside stated tolerances. The spindles are randomly packed in boxes of 50 and dispatched in cartons of 100 boxes. For any one carton, determine the number of boxes likely to contain 0, 1, 2, 3, 4, 5-or-more defectives.arrow_forward(3) The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (x= 0.0995, o = 0.004); Machine 2 ( = 0.1002, o = 0.009); Machine 3 (x = 0.095, o = 0.005). Determine which machines (if any) can produce the products within the design specifications. ||arrow_forward
- Suppose that material hardness is normally distributed with a mean of 52 and a standard deviation of 1. Specification limits for hardness are from 45 to 55. What is Cp?arrow_forwardWebster Chemical’s nominal weight for filling tubes of caulk is 8.00 ounces ± 0.60 ounces. The target process capability ratio is 1.33. The current distribution of the filling process is centered on 8.054 ounces with a standard deviation of 0.192 ounces. Compute the process capability ratios Cp and Cpk to assess whether the filling process is capable and set properly.arrow_forwardTyler Apiaries sells bees and beekeeping supplies. Bees (including a queen) are shipped in special packages according to weight. The target weight of a package is 16 kg. Historically, Tyler's shipments have weighed on average 16 kg, with a standard deviation of 0.8 kg. The buyer will accept some reasonable variation in weight as long as the variation is within a range of +/-3 kg. What is the process capability ratio?arrow_forward
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