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Sampling Distributions and Statistical Inference: Understanding Parameters and Statistics

Examines sampling distributions and statistical inference methods.

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    Sampling Distributions and Statistical Inference: Understanding Parameters and Statistics 1. Which of the following statements best describes the relationship between a parameter and a statistic? A) A parameter has a sampling distribution with the statistic as its mean. B) A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples. C) A parameter is used to estimate a statistic. D) A statistic is used to estimate a parameter. Feedback: An underlying theme of statistics is to use statistics to estimate a parameter. Points Earned: 1.0/1.0 2. Which of the following statements is correct about a parameter and a statistic associated with repeated random samples of the same size from the same population? A) Values of a parameter will vary from sample to sample but values of a statistic will not. B) Values of both a parameter and a statistic may vary from sample to sample. C) Values of a parameter will vary according to the sampling distribution for that parameter. D) Values of a statistic will vary according to the sampling distribution for that statistic. Feedback: The population parameter does not vary, however, the values of the statistic will vary based on the sampling distribution of that statistic Points Earned: 1.0/1.0 3. Every student taking elementary statistics at a large university (about 1,100 students) participated in a class project by rolling a 6 - sided die 100 times. Each individual student determined the proportion of his or her 100 rolls for which the result was a "1". The instructor plans to draw a histogram of the 1,100 sample proportions. What will be the approximate shape of this histogram? A) Skewed B) Uniform C) Normal (bell - shaped) D) Chi - square Feedback: The distribution of this sample proportion, given the sample size and number of students, should follow a normal (bell - shaped) curve Points Earned: 1.0/1.0

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