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PSU STAT 200 Mastery Quiz 1

A quiz evaluating statistical analysis methods and data interpretation.

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    PSU STAT 200 MASTERY QUIZ 1 1. Which statistic may be used to summarize a set of categorical data? A) Percent in each category B) Median C) Mean Feedback: Mean and median are statistics that describe a quantitative data set. The percent that falls in each category can be used to describe a categorical data set. Points Earned: 0.0/1.0 Correct Answer(s): A 2. In order to employ the Empirical Rule which one of the following is true? A) The data needs to be Empirical. B) The data needs to be bell shaped C) The data needs to be normal D) The Empirical Rule works for any data set. Feedback: The data needs to be bell shaped. Normal is a specific type of bell shaped distribution, but is not necessary to employ the Empirical Rule. Points Earned: 1.0/1.0 Correct Answer(s): B 3. A study was done at Penn State to determine the attitudes students have regarding students carrying guns on campus. The study design involved randomly selecting 50 students from each class standing: Freshman, Sophomore, Junior, Senior, and Graduate. The design BEST describes which sampling method? A) Stratified B) Simple Random C) Cluster D) Convenience

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    Feedback: Randomly selecting from each class standing, or strata, would be an example of stratified random sampling. Points Earned: 1.0/1.0 Correct Answer(s): A 4. When graphing categorical data, which of the following graphs would be MOST appropriate? A) Box plot B) Pie Chart C) Histogram D) Stem and Leaf Feedback: Except for the pie chart, all other graphs are for quantitative data. Points Earned: 1.0/1.0 Correct Answer(s): B 5. What observed height would have a z - score of zero? A) 65 B) 69 C) 73 D) 0 Feedback: For a z - score of 0 we would find the observed height using the equation: observed equals z - score times SD plus mean. A z - score 0 times 4 would be 0, and adding this to a mean of 69 would simply be 69. Or, if you recall that z - scores represent the number of standard deviations an observed score is from the mean then a z - score of 0 would mean the observation was zero standard deviations from the mean thus the observed value would be the mean. Points Earned: 1.0/1.0 Correct Answer(s): B 6. Approximately what percent of male heights are between 65 inches and 73 inches? A) 99.7 B) 95 C) 68 D) 50

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    Feedback: Since bell - shaped then approximately 68% of the heights would be between one standard deviation of the mean or 65 and 73 inches. Points Earned: 0.0/1.0 Correct Answer(s): C 7. The shape of the above frequency distribution reflects which of the following shapes? A) Skewed right or positively skewed B) Skewed left or negatively skewed C) Symmetrical Feedback: With the data being “pulled” to the right (i.e. the data has a tail that stretches to the right) this would reflect a right skew or positive skew. Points Earned: 1.0/1.0 Correct Answer(s): A 8. A magazine publisher asks readers to log onto their website and vote on a topic. The website allows visitors to select one of two choices and submit a vote. The results of the poll are reported in the next issue of the magazine. The population to which the results of these polls can be extended is A) all readers who have voted in any of the polls. B) all visitors to the website. C) only readers who voted in that specific poll.

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