1. As sample size increases, the sampling distribution of the mean... a) becomes
ID: 3359507 • Letter: 1
Question
1. As sample size increases, the sampling distribution of the mean... a) becomes less predictable b) approaches a normal distribution c) becomes increasingly skewed d) approached the distribution of the population
2. The standard deviation of the sampling distribution of the difference between two means... a)central tendency b) mean square error c) standard error of the difference between means d) standard error of the mean
3. The sampling distribution of a statistic is normally distributed with an estimated standard error of 12 (df = 20). What is the probability that you would have gotten a mean of 107 (or more extreme) if the population parameter were 100?
a) 0.583 b) 0 c) 7 d) 0.283
4. The standard deviation of the sampling distribution of some statistic... a) central tendency b) standard error c) probability d)variance
5. Which of the following would lower the standard error of the mean? a) increase sample size b) increase your significance level c) decrease sample size d) perform a two-tailed test
6. Assume that all possible samples of N=25 scores were obtained from some population of scores and then the sample mean () and standard deviation (s) were computed for each sample. If the population had a true mean of m = 100 and a true standard deviation of s = 10, then the standard error of the sample means (s) would be...
a) 1 b) 0 c) 5 d) 2
Explanation / Answer
1. As sample size increases, the sampling distribution of the mean b) approaches a normal distribution
2. Correct Answer:Option (C)
3. P(X>107) = P(Z > (107-100)/12) = P(Z > 0.5833) =0.283
Correct answer: Option (D)
4. Correct answer: Option (B)
5. Correct answer: Option (A)
6. SE = s/sqrt(n) = 10/sqrt(25) = 10/5 = 2
Correct answer: Option (D)
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