Problem set 2 -Micaela Martin

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4500

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Biology

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Dec 6, 2023

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BIOL 4500 – Statistics Problem Set # 2 Name: Micaela Martin 1. Assemble an SPSS data file with this information. Now, calculate the mean, median, variance, standard deviation, range, sample size and a 95% confidence interval for the mean of the male data and the female data (separately). Present these statistics here. Is the confidence interval you generated appropriate to use? (3 pts.) Statistics Male size (mm) Female size (mm) N Valid 16 16 Missing 0 0 Mean 77.3938 93.1250 Median 75.3500 92.0000 Std. Deviation 12.10683 10.41976 Range 40.00 34.70 Minimum 59.70 77.90 Maximum 99.70 112.60 - When looking at the statistics we can say that we need to use the 2. Produce a histogram of body size for males and females (separately). (4 pts.)

3. Now produce a bar graph that shows the mean for males and females together in the same graph. Add error bars to your bar chart under the “options” button. Make the error bars ± 1 standard deviation. The default is the 95% confidence interval. DO NOT USE THE CONFIDENCE INTERVAL FOR ERROR BARS!!! (4 pts.)

4. Produce a boxplot for males and females (separately but on the same graph). Are there any obvious extreme values? (4 pts.) - There are no obvious extreme values present in either male of female sizes. 5. Do these data approximate a normal distribution (examine each separately)? What evidence did you base your answer to this question on? (3 pts.) - There is no active bell-shaped curve when looking at the histograms which tends to show normal Distibution. While looking at the boxplot

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the median isn’t in the middle exactly but close. So, I would say there isn’t a normal distribution. 6. Looking at the patterns that you’ve just explored, what do you see? In a paragraph, discuss what the data seem to indicate to you and what evidence you have to back this up. (Keep in mind that we’ve only summarized the data with some simple statistics and graphs, we haven’t actually tested anything statistically yet!) (2 pts.) - I can see that the female ’s size tends to run slightly higher compared to the males which run a little lower. There also is an abundance around the 25% quartile in both male and female size. The data can be seen in the boxplot graph. You can also see this in a bar graph.

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