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

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 and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation .

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.

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg