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# Probability of obtaining a given sample mean

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The amount of pyroxidine (in grams) per multiple vitamin is normally distributed with a mean = 110 grams and a variance = 25 grams. A sample of 25 vitamins is to be selected. What is the probability that the sample mean will be greater than 100 grams?

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This solution incudes a detailed explanation of finding the probability of a given sample mean.

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To find the probability of obtaining a given sample mean, we use the sampling distribution. Sampling distribution includes all the means of samples of size 25. The sampling distribution of means forms a normal distribution.
The mean of sampling ...

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