It is given to us that the weights of bags of chips produced by Baaba’s Snacks has a bell-shaped distribution which can be represented as under-
ANSWER 1)
From the above figure (or property of a standard normal distribution) we can say that approximately 68% of the chip bags weigh between 1 standard deviation on the left of the mean and 1 standard deviation on the right of the mean.
whose interval is given by,
20 - 0.07, 20 + 0.07
Hence, approximately 68% of chips bags weigh between :19.93 and 20.07 ounces.
ANSWER 2)
It is asked to find the % population between 19.86 and 20.07 ounces which can be interpreted as 2 standard deviations on the left of the mean and 1 standard deviation on the right of the mean.
From the figure its value = (95.5/2) + (68.3/2) = 81.9%
Approximately 81.9% of chips bags weigh between 19.86 and 20.07 ounces.
ANSWER 3)
The % population of chip bags weighing more than 20.14 ounces can be interpreted as the % population more than the 2 standard deviations on the right of the mean = 50 - (95.5/2) = 2.25%
Since the sample size is 200, 2.25% of the sample size = 4.5 samples which means,
Approximately 4 or 5 samples of 200 samples weigh more than 20.14 ounces.
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