Stat 160 Prequiz over Section 6.1, 6.2, (The Dreaded CLT)



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1. According to the Central Limit Theorem, as the sample size (n) increases, the variance of the average (X-bar).

A. Increases.
B. Stays the same
C. Decreases
D. Either A or B
2. One of the key points of the Central Limit Theorem is

For the most part, as the sample size gets large, the average of a sample is approximated by a normal distribution, regardless of the distribution we sample from.
The random variables must be dependent
The variance of the sample mean is always higher than that of the underlying distrubution
All of the above
3. A golfer's score for 18 holes has a true mean of 90 and a standard deviation of 4. Suppose we take a random sample of 16 of his scores for 18 holes. By the Central Limit Theorem, the standard deviation of the sample average of these scores will be less than 4. By the Central Limit Theorem its actual value is

16
22
180
1
4. According to the Central Limit Theorem, as the sample size (n) increases, generally, the distribution of sample average becomes bell-shaped.

TRUE.
FALSE.