Answer:
Part A-7.5%
Part B-?
Part C-400 clocks
Step-by-step explanation:
part a-Write a sample ratio.-Divide the numerator by the denominator and multiply by 100.
part B-Use the sample ratio.-Multiply the sample ratio by the total number of clocks in the population.
Part C-Write a sample ratio.-Multiply the sample ratio by the total number of clocks in the population.
Percentage is a way to describe a part of a whole. Of the 10,000 clocks from which the sample was chosen, 400 clocks were defective.
A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
A.) As it is given that a random sample of 200 clocks is taken out of 10,000 clocks, out of this 200, 15 clocks are defective. Therefore, the number of clocks that are defective in 200 random samples is 15, which can be written as,
Percentage of defective clock[tex]= \dfrac{15}{200} \times 100= 7.5\%[/tex]
As we got the ratio of the defective clocks, therefore, the number of defective clocks in 10,000 clocks can be written as,
[tex]7.5\%\ of\ 10,000\\\\= 0.075 \times 10,000\\\\= 750[/tex]
Hence, Of the 10,000 clocks from which the sample was chosen, 750 clocks were defective.
B.) As in the next day, the manager finds only 8 of the 200 randomly selected clocks are defective. Therefore,
Percentage of defective clock[tex]= \dfrac{8}{200} \times 100= 4\%[/tex]
As we got the ratio of the defective clocks, therefore, the number of defective clocks in 10,000 clocks can be written as,
[tex]4\%\ of\ 10,000\\\\= 0.04\times 10,000\\\\= 400[/tex]
Hence, Of the 10,000 clocks from which the sample was chosen, 400 clocks were defective.
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