The mean life expectancy of a certain type of light bulb is 895 hours with a standard deviation of 18 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 40?

The approximate standard deviation of the sampling distribution of the mean for all samples with n = 40 is 2.8460.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation

What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 40?

We have that

So

The approximate standard deviation of the sampling distribution of the mean for all samples with n = 40 is 2.8460.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.