A few years ago, people tended to have relatively large CD collections. For stud

Question

A few years ago, people tended to have relatively large CD collections. For students at a large university in the midwest, the mean number of CDs owned was 78 with a standard deviation of 90. To confirm these numbers, a random sample of 120 students from this university was collected and the size of their CD collections recorded. These particular 120 students had a mean CD collection size of 80 CDs.

1. Select the correct description of the sample mean in this study.

A) The mean number of CDs owned by all college students.

B) The mean number of CDs owned by all students at this university.

C) The mean number of CDs owned by the 120 college students referred to in the problem.

2. If the distribution of the number of CDs was skewed to the right with a few large outliers, the shape of the sampling distribution of the sample mean

A) is a normal distribution for smaller sample sizes and becomes more skewed as the sample sizes increases.

B) is a normal distribution for all sample sizes.

C) has the same amount of skewness for all sample sizes as the population distribution.

D) is skewed to the right for smaller sample sizes but looks more like a normal distribution for larger sample sizes.

Explanation / Answer

Question 1

Answer is C: The mean number of CDs owned by 120 college students reffrered to in the problem.

Question 2

Answer is C : has same amount of skewness for all sample sizsizes as the population distribution

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