Answered: Which of the following statements are…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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Which of the following statements are true?

I. The sampling distribution of ¯xx¯ has standard deviation σ√nσn even if the population is not normally distributed.
II. The sampling distribution of ¯xx¯ is normal if the population has a normal distribution.
III. When nn is large, the sampling distribution of ¯xx¯ is approximately normal even if the the population is not normally distributed.

I and II
I and III
II and III
I, II, and III
None of the above gives the complete set of true responses.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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