Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

Question 11 Batches of a chemical contain random amounts of lead with a mean value of 6.0 mg and a standard deviation of 2.0 mg. If 50 batches are prepared, the probability that their average amount of lead is greater than 6.5 mg is:

Sagot :

Fichohidn

Answer:

0.0384

Step-by-step explanation:

Given that:

Mean (m) = 6.0

Standard deviation (s) = 2.0

Sample size (n) = 50

Probability that average amount is greater than 6.5

P(x > 6.5)

Obtain the Zscore using the relation :

Zscore = (x - m) / (s / sqrt(n))

Zscore = (6.5 - 6.0) / (2 / sqrt(50))

Zscore = 0.5 / 0.2828427

Zscore = 1.7677

Zscore = 1.77

P(Z > 1.77) = 1 - P(Z < 1.77)

P(Z > 1.77) = 1 - 0.9616

P(Z > 1.77) = 0.0384

Answer:

4.2%

Step-by-step explanation:

n=50, X=6.0, δ=2.0

Z=[tex]\frac{6.5-6.0}{2.0}[/tex]  =  0.25

F(Z)= 4.2% based on the chart in the FE Handbook

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.