A sample of 200 widgets are randomly selected from a production run of 1,600 widgets as part of a quality control process. The number of widgets in the sample that weigh between 25 and 30 grams (inclusive) are counted as acceptable because they are within the desired range. It was found that 150 widgets, or 75% of the sample, had weights within the desired range. Use a check mark if a conclusion below is justified. Also give reasons justified or not justified for each. Approximately 9.375% of the 1,600 widgets manufactured that day had weights in the desired range. Reason: Some proportion close to 75% of the widgets manufactured that day had weights in the desired range, but most likely not exactly 75%. Reason: From another sample of 200 widgets selected on the same day, exactly 75% of the widgets in the sample will have weights within the desired range. Reason:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A sample of 200 widgets are randomly selected from a production run of 1,600 widgets as part of a quality control process. The number of widgets in the sample that weigh between 25 and 30 grams (inclusive) are counted as acceptable because they are within the desired range. It was found that 150 widgets, or 75% of the sample, had weights within the desired range. Use a check mark if a conclusion below is justified. Also give reasons justified or not justified for each.

Approximately 9.375% of the 1,600 widgets manufactured that day had weights in the desired range.
Reason:

Some proportion close to 75% of the widgets manufactured that day had weights in the desired range, but most likely not exactly 75%.
Reason:

From another sample of 200 widgets selected on the same day, exactly 75% of the widgets in the sample will have weights within the desired range.
Reason:

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