26. Six Pepperidge Farm bagels were weighed, yielding the following data (grams): 117.6 109.5 111.6 109.2 119.1

Question:

26. 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 m and s? Now use the invariance principle.)

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