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Sampling Distributions and Statistical Inference: Understanding Parameters and Statistics

Examines sampling distributions and statistical inference methods.

Amelia Davis
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Sampling Distributions and Statistical Inference: UnderstandingParameters and Statistics1.Which of the following statements best describes the relationship between a parameter and a statistic?A)A parameter has a sampling distribution with thestatistic as its mean.B)A parameter has a sampling distribution that can be used to determine what values the statistic islikely to have in repeated samples.C)A parameter is used to estimate a statistic.D)A statistic is used toestimate a parameter.Feedback:An underlying theme of statistics is to use statistics to estimate a parameter.Points Earned:1.0/1.02.Which of the following statements is correct about a parameter and a statistic associated with repeatedrandom 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 basedon the sampling distribution of that statisticPoints Earned:1.0/1.03.Every student taking elementary statistics at a large university (about 1,100 students) participated in aclass project by rolling a 6-sided die 100 times.Each individual student determined the proportion of hisor her 100 rolls for which the result was a "1". The instructor plans to draw a histogram of the 1,100sample proportions. What will be the approximate shape of this histogram?A)SkewedB)UniformC)Normal (bell-shaped)D)Chi-squareFeedback:The distribution of this sample proportion, given the sample size and number of students,should follow a normal (bell-shaped) curvePoints Earned:1.0/1.0

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