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inna [77]
3 years ago
9

The finishing times, in minutes, for running marathons have an unknown distribution with mean 297 and standard deviation 32 minu

tes. A sample, with size n=41, was randomly drawn from the population. Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?
Mathematics
1 answer:
dangina [55]3 years ago
7 0

Answer:

The mean for the sample mean distribution is 297 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?

The mean is the same as the population mean, that is, 297 minutes.

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