Suppose that at Elkhorn High School, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. Mrs. Habrock takes a simple random sample of 36 seniors and calculates the sample mean homework hours per week. What is the mean of the sampling distribution of means for the 36 students?

In sampling theory, the population mean is expected to equal to the mean of sampling distribution of means if the estimator is to be a good representative of the population. so, on this note, the mean of sample distribution of means is equal to the population mean = 18.6

Answer Link

psm22415 psm22415 · Answer 2 · 2021-11-18T09:28:41+01:00

The mean of the sampling distribution of means for the 36 students is 18.6.

The sampling distribution of the mean is the mean of the population from where the items are sampled . if the population distribution is normal , then the sampling distribution of the mean likely to be normal for the sample of all sizes .

According to given information in the question;

In sampling theory,

The population mean is expected to equal to the mean of sampling distribution of means ,if the estimator is to be a good representative of the population.

So, the mean of the sampling distribution of means for the 36 students is 18.6.

For more about probability distribution click the link given below;

https://brainly.com/question/12905909