Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
117.6
109...
Mathematics, 12.02.2021 17:00, cerna
Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
117.6
109.5
111.6
109.2
119.1
110.8
(Note: 4 ounces = 113.4 grams)
a. Assuming that the six bagels are a random sample and the weight is normally distributed, estimate the true average weight and standard deviation of the weight using maximum likelihood.
b. Again assuming a normal distribution, estimate the weight below which 95% of all bagels will have their weights. (Hint: What is the 95th percentile in terms of μ and σ? Now use the invariance principle.)
Answers: 2
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