What is the probability that the sample mean will be below 0.95 centimeters?

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken.

Answer 1

Jonathan Allen

0.0418

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Answer 2

Adrian Alexander

To determine the probability that the sample mean will be below 0.95 centimeters, we need to know the distribution of the sample mean and its standard deviation. With that information, we can use the Z-score formula to calculate the probability.

However, without specific data or the distribution of the sample mean, it's not possible to provide an accurate probability. If you have the sample mean's distribution (e.g., normal distribution) and the standard deviation, I can assist you in calculating the probability using the Z-score and the cumulative distribution function (CDF) of the normal distribution.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.