11. Suppose samples of size 50 are selected from the distributions listed in par
ID: 3200410 • Letter: 1
Question
11. Suppose samples of size 50 are selected from the distributions listed in parts a through e below. What type of distribution will have in each of the five cases?
(a) A uniform distribution
(b) A normal distribution
(c) A distribution that is skewed to the right
(d) A distribution that is skewed to the left
(e) A bimodal distribution
ANSWER:
12. Consider the integers {0, 1, 2, 3, 4}. If all samples of size 3 are taken, with replacement, and the sampling distribution of the sample mean is found, what would the mean of the sample mean equal?
ANSWER:
13. Abby stated that “a sampling distribution of the standard deviation tell you how the standard deviation varies from sample to sample.” Debra argues that “a population distribution tells you that.” Who is right? Justify your answer.
ANSWER:
Explanation / Answer
Answer:
11. Suppose samples of size 50 are selected from the distributions listed in parts a through e below. What type of distribution will have in each of the five cases?
(a) A uniform distribution: Approximately normal
(b) A normal distribution: Normal
(c) A distribution that is skewed to the right: Approximately normal
(d) A distribution that is skewed to the left: Approximately normal
(e) A bimodal distribution: Approximately normal
The central limit theorem states that the sampling distribution of the mean of any independent, random variable will be normal or nearly normal, if the sample size is large enough. Here sample size 50 is large (>30).
ANSWER:
12. Consider the integers {0, 1, 2, 3, 4}. If all samples of size 3 are taken, with replacement, and the sampling distribution of the sample mean is found, what would the mean of the sample mean equal?
The mean of the all sample means equal to the population mean.
Population mean = 10/5 =2
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