Question

Farmer Bob says that the weights of his turkeys follows a normal distribution with a mean...

Farmer Bob says that the weights of his turkeys follows a normal distribution with a mean given by µ = 16 pounds and a standard deviation given by σ = 2.2 pounds.

(a) Assuming Farmer Bob is correct, what percent of his turkeys weight more than 18 pounds? Draw a visualization of your answer. (

b) Farmer Bob has shifty eyes. You don’t trust him! So you took a random sample of 35 turkeys and calculated an average weight of 14.8 pounds and a standard deviation of 3.1 pounds.

i. Construct and interpret a 95% confidence interval for the average weight of Bob turkeys.

ii. In your interpretation, you (hopefully/should have) started with, “I am 95% confident...” What does that mean?

iii. What do you think about Farmer Bob’s claim that the average weight of his turkeys is 16 pounds? Justify your answer.

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Answer #1

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