The Energetic Corporation produces electric light bulbs. When everything is going properly, the lengths of these light bulbs are normally distributed, with a mean of 3.00 inches, and a standard deviation of 0.10 inches. Suppose everything is going properly.If you take a random sample of just 1 bulb, what is the ­ probability that its length will be within the range of 2.95– 3.05 inches? b. If you take a random sample of 10 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? c. If you take a random sample of 40 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? Suppose, in the situation above, you do not really know that everything is going properly. a. If your sample of 1 has a length outside the range of 2.95– 3.05, would you be concerned? b. If your sample of 10 has a mean length outside the range of 2.95– 3.05, would you be concerned? c. If your sample of 40 has a mean length outside the range of 2.95– 3.05, would you be concerned?

MATLAB: An Introduction with Applications
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The Energetic Corporation produces electric light bulbs. When everything is going properly, the lengths of these light bulbs are normally distributed, with a mean of 3.00 inches, and a standard deviation of 0.10 inches. Suppose everything is going properly.If you take a random sample of just 1 bulb, what is the ­ probability that its length will be within the range of 2.95– 3.05 inches? b. If you take a random sample of 10 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches? c. If you take a random sample of 40 bulbs, what is the probability that its mean length will be within the range of 2.95– 3.05 inches?

Suppose, in the situation above, you do not really know that everything is going properly. a. If your sample of 1 has a length outside the range of 2.95– 3.05, would you be concerned? b. If your sample of 10 has a mean length outside the range of 2.95– 3.05, would you be concerned? c. If your sample of 40 has a mean length outside the range of 2.95– 3.05, would you be concerned?


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