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Problem 2 A group of researchers was interested in the number of hours students

ID: 3048158 • Letter: P

Question

Problem 2 A group of researchers was interested in the number of hours students at Mid-South State University (MSSU) spend exercising in a week. The group believes that the average number of hours per week of exercise is 6 hours with standard deviation of 4.5. One of the researchers, Dr. Jones said "There are over 40,000 students at MSSU which is clearly a large population. Therefore the Central Limit Theorem allows us to say the distribution of the amount of exercise will be normally distributed." Is Dr. Jones correct? Expiain. Dage 1 of

Explanation / Answer

Answer:

No, Dr. Jones is not correct.

We cannot decide on the population distribution based on population size.

The Central Limit Theorem states about the sampling distribution of the sampling means.

The Central Limit Theorem states that the sampling distribution of the sampling means approaches a normal distribution as the sample size gets larger.

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