Concept explainers
(a)
To find: the percent of bags that weigh less than 9.02 ounces
(a)
Answer to Problem 44E
Approximately 2.5% of bags weigh less than 9.02 ounces.
Explanation of Solution
Calculation:
The distribution of weights is approximately N (9.12, 0.05). Figure below is a sketch of the Normal density curve with the desired points labeled.
By the
Conclusion:
Hence,approximately 2.5% of bags weigh less than 9.02 ounces
(b)
To find: the weight
(b)
Answer to Problem 44E
Approximately 68% of bags have weights between9.07 ounces and 9.17 ounces.
Explanation of Solution
Calculation:
By the 68-95-99 7 rules, approximately 68% of bags have weights between
Conclusion:
Therefore, approximately 68% of bags have weights between 9.07 ounces and 9.17 ounces.
(c)
To find: the percent of 9-ounce bags weigh between 8.97 and 9.17 ounces
(c)
Answer to Problem 44E
Approximately 83.85% of bags have weight between 8.97 and 9.17 ounces.
Explanation of Solution
Calculation:
By the 68-95-99.7 rule, that is approximately
Conclusion:
Therefore,83.85% of bags have weight between 8.97 and 9.17 ounces.
(d)
To find: the percentile of distribution which weighs 9.07 ounces
(d)
Answer to Problem 44E
9.07 is the 16th percentile of the weights of these potatochips bags.
Explanation of Solution
Calculation:
The value 9.07 is one standard deviation below the mean. This means that the area to theleft of 9.07 is 0.16. In other words, 9.07 is the 16th percentile of the weights of these potato chips bags.
Conclusion:
Therefore, 9.07 is the 16th percentile of the weights of these potatochips bags.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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