The amount of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distrubution with a mean of 12.5 ounces and a standard deviation of 0.2 ounces. What porportion of the 12 ounce bags contain more than the advertised 12 ounces of chips? A)0.9938, B) 0.5662, C) 0.4938, D) 0.0062

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To find the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips, we need to calculate the area under the normal distribution curve that lies to the right of 12 ounces.

First, we need to standardize the value 12 by using the z-score formula:

z = (x - μ) / σ

Where:
x = observed value
μ = mean
σ = standard deviation

In this case, x = 12, μ = 12.5, and σ = 0.2.

z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5

Next, we can use a standard normal table or calculator to find the proportion of values greater than -12.5. However, since the z-value is extremely low (far in the left tail of the distribution), we can conclude that the proportion of values greater than 12 ounces will be very close to 1.

Therefore, the correct answer is A) 0.9938.

To find the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips, we need to calculate the area under the normal distribution curve to the right of 12 ounces.

We can use the z-score formula to standardize the value of 12 ounces using the mean and standard deviation of the distribution:

z = (x - μ) / σ

where
x = value we want to standardize (12 ounces in this case)
μ = mean of the distribution (12.5 ounces)
σ = standard deviation of the distribution (0.2 ounces)

z = (12 - 12.5) / 0.2
z = -0.5 / 0.2
z = -2.5

Next, we look up the z-score of -2.5 in the standard normal distribution table or use a calculator. The area to the left of -2.5 is 0.0062.

Since we want the area to the right of 12 ounces (the proportion of bags with more than 12 ounces), we subtract the area to the left from 1:

1 - 0.0062 = 0.9938

Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is approximately 0.9938.

The correct answer is A) 0.9938