A researcher measures the amount of sugar in several cans of the same soda. The

Question

A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the probability that the sum of the 100 values is greater than 3, 908. A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the probability that the sum of the 100 values falls between the numbers 3900 and 3910. A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100. Find the sum with a z-score of -2.1. (Enter an exact number as an integer, fraction, or decimal.)

Explanation / Answer

1.

Mean = 39.01
Stdev =.5
n=100

P(X>3908) or P(X>39.08)
= P(Z> 39.08-39.01/(.5/sqrt(100))
= P(Z>1.4)
= 1-.9192
=.0808

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