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For the datasets below, assume data was obtained via random sampling and that the population standard deviation is unknown. For the given variables of interest,
- For the datasets below, assume data was obtained via random sampling and that the population standard deviation is unknown. For the given variables of interest,
- Use R to create a normal probability plot and a histogram. Paste your work into your report
- Describe your findings. Do the graphs provide evidence against the assumption of a normally distributed population?
- Based on your descriptions (and the sample size n), determine if one mean inference is valid, and whether z-procedures or t-procedures should be employed.
- The dataset "HIGHLANDS101" contains informationfrom a sample of 101 properties in the Highlands neighbourhood of Edmonton. The variable of interest is Assessed Value (the value Edmonton assessed the dwelling at for property taxes). (6 marks)
- The dataset "AQIEDMONTONMAY2023" contains a sample of 10 AQI values in Edmonton in the first 2 weeks of May 2023 at the start of forest fire season (see Part A for more details about AQI values). The variable of interest is AQI. (6 marks)
- The dataset HEARTFAILUREPREDICTIONMALES21 is a sample of 21 males that looks at several variables that play a role in heart failure prediction in the United States. For the curious, the full set of open data from which this sample was taken can be found at https://www.kaggle.com/datasets/fedesoriano/heart-failure-prediction . The variable of interest is MaxHr (maximum heart rate achieved on exercising in bpm). (6 marks)
- In the above work, we did not examine the boxplots for the considered samples. What can a boxplot show us that cannot be seen in a normal probability plot or histogram? (2 marks)
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