Question

A bakery claims their bread weighs on average 1kg.

(a)An investigator weighed 1000 loaves over a year, and summarized his results in a

_le bread data (available on the course website). Based on this data, we have a 95% confidence interval of miu = 0.9993259999999988: from 0.979680998709 to 1.01897100129

(b) Based on this data, can we rule out the bakery's claim at a 5% level?

(c) If the mean weight actually is 1Kg, what is the likelyhood of us reaching that

decision?

(d) If 50 investigators repeated this procedure, how many of them on average would

reject the bakery's claim?

Answer 1

Here 95% confidence interval of mean is (0.979680998709 , 1.01897100129)

(b) Here based on this data, we cannot rule out the bakery's claim at 5% level as the weight of 1 kg lies in the confidence interva.

(c) Here the mean weight is actually is 1 kg, the likelihood of us reaching that decision is 95% as that is the confidence interval we have proposed.

(d) Here type I Error percantage = 0.05

so if  50 investigators repeated this procedure, on average 50 * 0.05 = 2.5 would reject the bakery's claim.