1. When the number of degrees of freedom is small, the shape of the chi-square d
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Question
1. When the number of degrees of freedom is small, the shape of the chi-square distribution is:
A. symmetrical. B. uniform. C. positively skewed. D. negatively skewed. E. normal.
2. Which of the following tests will determine whether sample data could have been drawn from a population having a specified probability distribution?
A. independence of two variables B. comparing proportions from two independent samples C. estimating the population variance D. goodness-of-fit test E. confidence interval around a sample mean
3. In a goodness-of-fit chi-square test, if the null hypothesis states “The sample was drawn from a population that follows the normal distribution” and the test has 7 categories that are mutually exclusive and exhaustive, the number of degrees of freedom will be:
A. 4 B. 5 C. 6 D. 7 E. 8
Explanation / Answer
1. When the number of degrees of freedom is small, the shape of the chi-square distribution is:
A. symmetrical. B. uniform. C. positively skewed. D. negatively skewed. E. normal.
So correct option is C. positively skewed.
If degrees of freedom is large so it is going to normal. But in this case degrees of freedoms are small so it is chi-square distributed.
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