4. (6 points) A reporter from Bon Appetite magazine bought 8 bagels from Fairmount bagels. Each bagel was weighed and yi

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4 6 Points A Reporter From Bon Appetite Magazine Bought 8 Bagels From Fairmount Bagels Each Bagel Was Weighed And Yi 1 (36.32 KiB) Viewed 90 times

4. (6 points) A reporter from Bon Appetite magazine bought 8 bagels from Fairmount bagels. Each bagel was weighed and yielded the following data (grams): 109.5, 111.6, 117.6, 109.2, 110.8, 119.1, 115.2, 112.5 a) Assuming that the eight bagels were randomly sampled and that the weight of a bagel is normally distributed, estimate the true average weight and standard deviation of the weight using maximum likelihood estimation. Please show the procedure for deriving the expressions of the estimates, and then plug in the weights for the numerical results. b) Again assuming a normal distribution, estimate the weight below which 95% of all bagels will have their weights. (Hint: what is the 95 percentile in terms of u and o?]