Question: Sample # 1 - nonsmoker mom Newborn's wt (oz) 112 152 142 122 121 151 127 120 126 123 93 120 129 119 115 116
Sample # 1 - nonsmoker mom Newborn's wt (oz) 112 152 142 122 121 151 127 120 126 123 93 120 129 119 115 116 159 158 117 129 80 129 129 110 116 99 103 113 116 93 139 144 105 126 125 110 140 105 125 141 116 123 85 102 114 135 131 143 136 107
Sample # 2 - smoker mom Newborn's wt (oz) 96 137 100 86 119 129 138 100 141 119 117 116 136 106 84 127 160 121 121 102 91 58 102 107 119 115 97 116 125 133 132 87 132 122 99 102 136 123 113 115 140 123 113 112 146 125 107 98 130 106
Use 2 samples. 1 from the non-smoking group, and 1 from the smoking group.
Directions Overview: Using the 2 samples whichyou were assigned, you will use technology to make calculations and construct graphs. Be sure to use full sentences for all written-response questions. Justify your answers using specific details, values, and units as appropriate.
Questions 1 through 5 are an overview of the samples you were assigned. The birth weights of babies and smoking status of the mothers are data that were collected as part of the Child Health and Developmental Studies Organization (a U.S. Government agency) in 1961 and 1962.
- List the titles of your two assigned datasets. Example: Heights of Basketball Players in 2015 and 2020
2. Look over your two samples.Classify each variable as categorical, quantitative discrete, or quantitative continuous.
- The data you were assignedwere collected by theChild Health and Developmental Studies organization, a U.S. Government agency, in 1961 and 1962. How do you thinkthis agency collected the data? Name at least two benefits or concerns with this method.
- Identify at least one way in which these datasets might be biased.
- Write at least two statistical questions about your data.
Questions 6 through 9 are a discussion of the summary statistics for your data. It is recommended that you consider using the Describing and Exploring Quantitative Variables ShinyApphttps://dcmathpathways.shinyapps.io/EDA_quantitative/.
- Use technology to calculate the mean and median of each dataset. Include a screen clip of your results below. Write one sentence that identifies the values of each mean and median, including correct units.
- Compare the values of the mean to the median for each dataset. What does this suggest about the data set (shape of distribution)?
- Use technology to calculate the standard deviation of each dataset. Include a screen clip of your results below. Write one sentence that identifies the values of each standard deviation, including correct units.
- Compare the two datasets' measures of spread - note the standard deviations and ranges.
Questions 10 and 11 are a discussion of graphical representations of your data. It is recommended that you consider using the Describing and Exploring Quantitative Variables ShinyApphttps://dcmathpathways.shinyapps.io/EDA_quantitative/.
- Use technology to construct side-by-side boxplots of both datasets. Include a screen clip of your results below.
- Use technology to construct histograms of both datasets. Include a screen clip of your results below.
- Describe the shape of eachdistribution and identify any outliers.
Questions 13 and 14 summarize your data analysis.
- Look back at the questions you had in #5, answer these if you can. If you cannot answer them, what information might you still need to answer them?
- Write one paragraph (4 or 5 sentences) summarizing what you have learned about the datasets you were assigned.Explain any contradictions and/or alignments between the summary statistics and the graphs as you discuss the shape, center, spread and outliers for each distribution. Also, write at least 2 additional statistical questionsrelated to these data.
Questions 15 and 16 give you the opportunity to use statistics to explore your own interests.
- Write one statistical question about a topic that interests you, personally or professionally. Your question must specify the population of interest.
- Assuming money and time are infinitely available, design a method for collecting sample data that would answer your statistical question from Question 15.
- Explain how you would acquire the data. Be specific.
- Explain why your data collection method would be an observational study or an experiment.
- Explain why your sample data would be categorical or quantitative
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