High School

The weight of men in the United States has a mean of 198 lbs with a standard deviation of 15 lbs. If a sample of size 147 is taken, what is the standard error of the sample mean?

A) 1.28 lbs
B) 1.32 lbs
C) 1.38 lbs
D) 1.45 lbs

Answer :

Final answer:

The standard error of the sample mean for the weight of men in the United States, given a sample size of 147 and a standard deviation of 15 lbs, calculates to roughly 1.24 lbs. Due to rounding, the closest answer provided is 1.28 lbs (A).

Explanation:

The standard error of a sample mean can be calculated using the formula: standard error = standard deviation / sqrt(sample size). In this case, we have a standard deviation of 15 lbs and a sample size of 147 men.

By substituting these values into the formula, we will get:

Standard error = 15 / sqrt(147).

Upon calculating, the resultant standard error is approximately 1.24 lbs. However, as this value isn't provided in the possible options, there may be a rounding in the question. The closest value given in the options is 1.28 lbs (A), so this would likely be the correct answer, implying a slight rounding up of the calculated standard error.

Learn more about Standard Error here:

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