The acceptable level for insect filth in a certain food item is 3 insect fragments per 10 grams. A sample random of 60 ten gram portions of the food item is obtained and results in a sample mean of x = 3.7 insect fragments per ten gram portion.

(a) Mean u = 3

(b) Standard Deviation o = ? Round to 3 decimal.

(c) What is the probability a simple random sample of 50 ten gram portions of the food item results in a mean of at least 3.7 insect fragments? P(x > 3.7) = ? Round to 4 decimal.

(d) Is this result unusual?

(e) What might we conclude?

OA Since this result is unusual, it is reasonable to conclude that the propulation mean is 3.

OB Since this result is not unusual, it is reasonable to conclude that the popilation mean is 3.

OC Since this result is unusual, it is reasonable to conclude that the population mean is higher than 3.

OD Since this result is not unusual, it is reasonable to conclude that the population mean is higher than 3.

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