The XYZ Company manufactures boat anchors in a variety of sizes, shapes, and weights The combination of these three design elements is optimized to produce anchors that are appropriate for a variety of boats, waterways, currents, wind, and wave action The anchors are made from a mixture of three metals that are melted together and then poured into molds by a robot controlled by a computer The 25 lbs anchors are made in batches of 10,000, which requires one 8 hour work shift, and are shipped to 3,500 retail stores across the United States and Canada The 25 lbs anchors have been manufactured using the same process and the same blend of materials for 5 years The XYZ Company has designed the manufacturing process to produce anchors with a mean weight of 25 lbs and with a standard deviation of 1 lb The anchor weights produced by this process are normally distributed The company monitors the stability (consistency of quality) of its manufacturing process by testing 1 of its production for each batch It selects the units for testing by programming the production computer to divert every 100 th anchor from the end of the production line To determine the first unit selected for testing, the computer uses a random number between 1 and 100 to select the number of the first anchor diverted and then continues with every 100 th anchor from that point until the end of the production run for that batch An inspector removes each of the diverted anchors, inspects it for manufacturing defects and then weighs the anchor on a high precision digital scale The scale is recalibrated after each unit is weighed to assure perfect measurements The sample anchor weights are recorded in the digital scale and then downloaded to an excel spreadsheet The spreadsheet for the sample anchor weights for the last production run is attached Case Information The XYZ Company manufactures boat anchors in a variety of sizes, shapes, and weights The combination of these three design elements is optimized to produce anchors that are appropriate for a variety of boats, waterways, currents, wind, and wave action The anchors are made from a mixture of three metals that are melted together and then poured into molds by a robot controlled by a computer The 25 lbs anchors are made in batches of 10,000, which requires one 8 hour work shift, and are shipped to 3,500 retail stores across the United States and Canada The 25 lbs anchors have been manufactured using the same process and the same blend of materials for 5 years The XYZ Company has designed the manufacturing process to produce anchors with a mean weight of 25 lbs and with a standard deviation of 1 lb The anchor weights produced by this process are normally distributed Question 1) What method was used to generate these data Question 2) What type of data are generated Data Set Line Item Weight (lbs ) 29 24,242 129 23 393 229 24 124 329 25 208 429 22 624 529 26 003 629 24 857 729 22 425 829 26 279 929 24,428 1029 23 009 1129 24 424 1229 25 345 1329 23 977 1429 21 563 1529 24 231 1629 24,205 1729 24 243 1829 23 958 1929 20 091 2029 25 675 2129 26 384 2229 23 652 2329 25 916 2429 22 448 2529 24 179 2629 25 176 2729 25 090 2829 24 731 2929 23 886 3029 24 844 3129 24,494 Random Number Generator RANDBETWEEN(1,100) Sample Size 100 Bin 20 00 20 50 21 00 21 50 22 00 22 50 23 00 23 50 24 00 24 50 25 00 25 50 26 00 26 50 More More E8 20 Bin Frequency 21 22 23 24 25 26 Sample Mean 24 54654 27 Freq 0 1 0 2 4 3 4 9 22 17 18 12 8 0 0 127392 30 8 0 Minimum Maximum 20 09 26 38 Frequency 25 20 15 10 Frequency 5 50 40 30 20 10 0 Histogram 25 lbs Boat Anchors (n 100) 00 02 1 20 20 50 21 00 21 50 22 50 23 00 29 23 50 24,00 24 50 Anchor Weight (lbs ) 00 52 25 50 26 00 Histogram 25 lbs Boat Anchors (n 100) 26 50 More 21 22 23 24 25 26 27 More

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The XYZ Company manufactures boat anchors in a variety of sizes, shapes, and weights. The combination of these three design elements is optimized to produce

The XYZ Company manufactures boat anchors in a variety of sizes, shapes, and weights. The combination of these three design elements is optimized to produce anchors that are appropriate for a variety of boats, waterways, currents, wind, and wave action. The anchors are made from a mixture of three metals that are melted together and then poured into molds by a robot controlled by a computer.

The 25 lbs. anchors are made in batches of 10,000, which requires one 8-hour work shift, and are shipped to 3,500 retail stores across the United States and Canada. The 25 lbs. anchors have been manufactured using the same process and the same blend of materials for 5 years. The XYZ Company has designed the manufacturing process to produce anchors with a mean weight of 25 lbs. and with a standard deviation of 1 lb. The anchor weights produced by this process are normally distributed.

The company monitors the stability (consistency of quality) of its manufacturing process by testing 1% of its production for each batch. It selects the units for testing by programming the production computer to divert every 100^thanchor from the end of the production line. To determine the first unit selected for testing, the computer uses a random number between 1 and 100 to select the number of the first anchor diverted and then continues with every 100^th anchor from that point until the end of the production run for that batch. An inspector removes each of the diverted anchors, inspects it for manufacturing defects and then weighs the anchor on a high-precision digital scale. The scale is recalibrated after each unit is weighed to assure perfect measurements. The sample anchor weights are recorded in the digital scale and then downloaded to an excel spreadsheet. The spreadsheet for the sample anchor weights for the last production run is attached.

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