3. A candy bar producer is producing a new candy bar that has a normal distribution...
3. A candy bar producer is producing a new candy bar that has a normal distribution with a mean of 43.4 grams and a standard deviation of .15 grams
a. If every bar is labeled as 43 grams, what proportion of the bars contain less than the labeled amount?
b. If only 1.5% of the candy bars exceed weight w, what is the value of w?
Homework Answers
a) Proportion of bars that contain less than labeled amount
= P(X < 43)
= P(z < (43 - 43.4)/0.15)
= P(z < -2.67)
= 0.0038
b) z score corresponding to 1.5% area to the right tail = 2.17
Hence,
w = 43.4 - 2.17*0.15 = 43.73 grams
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