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WINSTONCH [101]
4 years ago
5

A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the

probability that the average height of the men in the sample is less than 70.5in?
Mathematics
1 answer:
ankoles [38]4 years ago
5 0

Answer:

2.28%

Step-by-step explanation:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x

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Step-by-step explanation: Step 1: Simplify both sides of the equation.

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