Use the four-step method in problem-solving to solve the problem.
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Answer:
The total workers are<u> 2400.</u>
Step-by-step explanation:
Given:
In company 80% of the workers are women.
480 workers are men.
Now, to find the total workers in all.
<u><em>In first way:</em></u>
If women are 80%, then men would be 100-80 = 20%.
Let the total workers be .
According to question:
⇒
⇒
⇒
Dividing both sides by 0.20 we get:
⇒.
Total workers = 2400.
<em><u>Now, in second way</u></em>.
Again, let the total workers be .
According to question:
⇒
<em>On solving:</em>
⇒
⇒
<em>Dividing both sides by 0.20 we get:</em>
⇒.
<em>Total workers = 2400.</em>
Therefore, the total workers are <u>2400</u>.
Solution :
a).
Given : Number of times, n = 25
Sigma, σ = 0.200 kg
Weight, μ = 13 kg
Therefore the hypothesis should be tested are :
b). When the value of
Test statics :
= 45.5
P-value = 2 x P(Z > 45.5)
= 2 x 1 -P (Z < 45.5) = 0
Reject the null hypothesis if P value < α = 0.01 level of significance.
So reject the null hypothesis.
Therefore, we conclude that the true mean measured weight differs from 13 kg.