Question

The mean chicken weight is 5lb, with a std dev of 1 lb. We want to take a simple random sample of 100 chickens. What is the probability that the sample mean is between 4.9 and 5.1 lb? What is the probability that the combined weight of the chickens between 490 and 510 lb? Find the value a, such that the combined weight exceeds a with probability 95%. Find the value b, such that the combined weight is below b with probability 99%.

Name: the mean chicken weight is 5lb with a std dev of 1 lb we want to take a simple random sample of 100 chickens what is the probability that the sample mean is between 49 and 51 lb what is the 84565
Uploaded: 2023-07-16T22:16:41-08:00
Duration: 5 min 2 s
Channel: Lien Le
Description: the mean chicken weight is 5lb with a std dev of 1 lb we want to take a simple random sample of 100 chickens what is the probability that the sample mean is between 49 and 51 lb what is the 84565

          The mean chicken weight is 5lb, with a std dev of 1 lb.  We
want to take a simple random sample of 100
chickens.  
What is the probability that the sample mean is between 4.9 and
5.1 lb?
What is the probability that the combined weight of the
chickens between 490 and 510 lb?
Find the value a, such  that the combined weight exceeds a
with probability 95%. 
Find the value b, such that the combined weight is below b with
probability 99%.

Added by Gabrielle B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Lien Le

07/16/2023

Step 1

Probability of sample mean between 4.9 and 5.1 lb: We can use the formula for the standard error of the mean, which is: SE = σ/√n where σ is the population standard deviation, n is the sample size, and SE is the standard error of the mean. In this case, σ = 1 lb Show more…

Show all steps

Thanks for your feedback!

The mean chicken weight is 5lb, with a std dev of 1 lb. We want to take a simple random sample of 100 chickens. What is the probability that the sample mean is between 4.9 and 5.1 lb? What is the probability that the combined weight of the chickens between 490 and 510 lb? Find the value a, such that the combined weight exceeds a with probability 95%. Find the value b, such that the combined weight is below b with probability 99%.