Each day, Luke counts how many licks it takes to get the center of a candy...

Each day, Luke counts how many licks it takes to get the center of a candy bar. After 30 days, Luke knows the average number of licks it takes to get to the center of a candy bar is 428. Assume that the distribution of licks is normal distributed with a standard deviation of 20.

a) On day 31, it takes Luke 388 licks to get to the center of the candy bar. What is the probability that it only takes 388 licks or less to get to the center of candy bar.

b) Construct a 94% confidence interval for the number of licks it takes to get to the center of a candy bar. Give an appropriate interpretation.

c) Luke's friend guess it took 400 licks to get to the center. Is this a reasonable guess.

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Expert Solution

orchestra answered 2 years ago

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