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In the manufacture of a certain type of metal cans, you can measure the quality

ID: 3199032 • Letter: I

Question

In the manufacture of a certain type of metal cans, you can measure the quality for a full day for every 40th can to examine the quality.
50 000 cans are produced during the day, and of the cans that the quality was measured, every 25th can had poor quality and had to be thrown.
a) What is the sample(statistics) and how big is it?
b) The company receives a large order and produces cans in the same way as during the test day described in the assignment. It takes seven whole days to manufacture the cans in the big order.
How many of these cans can be expected to be broken? In the manufacture of a certain type of metal cans, you can measure the quality for a full day for every 40th can to examine the quality.
50 000 cans are produced during the day, and of the cans that the quality was measured, every 25th can had poor quality and had to be thrown.
a) What is the sample(statistics) and how big is it?
b) The company receives a large order and produces cans in the same way as during the test day described in the assignment. It takes seven whole days to manufacture the cans in the big order.
How many of these cans can be expected to be broken? In the manufacture of a certain type of metal cans, you can measure the quality for a full day for every 40th can to examine the quality.
50 000 cans are produced during the day, and of the cans that the quality was measured, every 25th can had poor quality and had to be thrown.
a) What is the sample(statistics) and how big is it?
b) The company receives a large order and produces cans in the same way as during the test day described in the assignment. It takes seven whole days to manufacture the cans in the big order.
How many of these cans can be expected to be broken?

Explanation / Answer

(a) Here the sample (statistic) is the every 40th can produced for the day.

Sample size is 50000/40 = 1250

(b) Here total number of cans to be ordered = 50000 * 7 = 3,50,000

Total expected number of cans to be broken = 350000 * 1/25 = 14000

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