The package of a particular brand of rubber band says that the bands can hold a

Question

The package of a particular brand of rubber band says that the bands can hold a weight of 7 lbs. Suppose that we suspect this might be an overstatement of the breaking weight So we decide to take a random sample of 36 of these rubber bands and record the weight required to break each of them. The mean breaking weight of our sample of 36 rubber bands is 6.6 lbs. Assume that the standard deviation of the breaking weight for the entire population of these rubber bands is 2 lbs. True or false? Finding a random sample with a mean this low in a population with mean 7 and standard deviation 2 is very unlikely. True False

Explanation / Answer

Since the mean is 6.6 and standard deviation is 2. The number of bands is 36

z= (7-6.60)/2 =0.4/2 =0.2

Thus 0.2 is in the range of 1 standard deviation away from mean. Thus answer is FALSE

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