Suppose that a candy company makes a candy bar whose weight is supposed to be 50 grams, but in fact, the weight varies from bar to bar according to a normal distribution with mean µ = 50 grams and standard deviation o = 2 grams. If the company sells the candy bars in packs of 4 bars, what can we say about the likelihood that the average weight of the bars in a randomly selected pack is 4 or more grams lighter than advertised? A. O There is about a 16% chance of this occurring. B. There is about a 5% chance of this occurring. C. There is no way to evaluate this likelihood, since the sample size (n = 4) is too small. D. It is extremely unlikely for this to occur; the probability is very close to o. E.O There is about a 2.5% chance of this occurring.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
Suppose that a candy company makes a candy bar whose weight is supposed to be 50 grams,
but in fact, the weight varies from bar to bar according to a normal distribution with mean µ =
50 grams and standard deviation o = 2 grams.
If the company sells the candy bars in packs of 4 bars, what can we say about the likelihood that the average weight of
the bars in a randomly selected pack is 4 or more grams lighter than advertised?
A. O There is about a 16% chance of this occurring.
B.
There is about a 5% chance of this occurring.
C.
There is no way to evaluate this likelihood, since the sample size (n = 4) is too small.
D.
It is extremely unlikely for this to occur; the probability is very close to o.
E.O There is about a 2.5% chance of this occurring.
Transcribed Image Text:Suppose that a candy company makes a candy bar whose weight is supposed to be 50 grams, but in fact, the weight varies from bar to bar according to a normal distribution with mean µ = 50 grams and standard deviation o = 2 grams. If the company sells the candy bars in packs of 4 bars, what can we say about the likelihood that the average weight of the bars in a randomly selected pack is 4 or more grams lighter than advertised? A. O There is about a 16% chance of this occurring. B. There is about a 5% chance of this occurring. C. There is no way to evaluate this likelihood, since the sample size (n = 4) is too small. D. It is extremely unlikely for this to occur; the probability is very close to o. E.O There is about a 2.5% chance of this occurring.
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