The weight of a bag of Flaming Hot Cheetos chips is labeled as 3.5 ounces on the
ID: 3113362 • Letter: T
Question
The weight of a bag of Flaming Hot Cheetos chips is labeled as 3.5 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.5 ounces and a standard deviation of 0.10 once. Fill in the blank: According to the specifications, approximately _____ percent of bags weighted 3.3 ounces or more. During a quality control check on the bag weights, a bag percent of bags weighted 3.35 ounces. How many standard deviations below the mean was the bag weight? Fill in the blank. _____ standard deviations. During a quality control check on the bag weights, a bag was found that weighed 3.75 ounces. How many standard deviations above the mean was the bag weight? Fill in the blank. _____ standard deviations.Explanation / Answer
mean = 3.5
standard deviation = 0.10
a) percentage weighed 3.3 ounces or more
calculating z score
z = ( x - mean ) / sd
z = 3.5 - 3.3 / .10
z = 2
z > 2 = 1 - 0.9772
= 0.0228 * 100 = 2.28%
therefore , 2.28% weighed 3.3 ounces or more
b) calculating z score for 3.35
3.35 - 3.5 / 0.10
= -1.5
therefore, it is 1.5 standard deviations below the mean
c) calcultaing z score for 3.75
( 3.75 - 3.5) / .10
z score = 2.5
it is 2.5 standard deviations above the mean
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