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?

Question

Mathematics

Jaylee Blevins

18 May, 12:12

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?

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Answers (1)

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Jason Leon · Answer 1

Answer: mean of sampling distribution of means = 18.6

Step-by-step explanation:

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