Question

Use the following for the next 3 questions. A biologist is interested in comparing the lengths of the male and female green lynx spiders. Here are the summary statistics and boxplots of the lengths of 30 male and 30 female green lynx spiders that were measured in millimeters GENDER n Mean Standard Deviation Minimum Median Q3 Maximum MALE30 5.917 0.6634.700 5.650 5.850 6312 7.500 FEMALE 30 8.153 1.187 5.900 7.513 8.175 8.938 10.800 16. The distribution of female lengths is (A) strongly skewed left. (B) skewed left with a median of 8.175 mm and a standard deviation of 1.187 mm. (C) strongly skewed right since the boxplot extends up to nearly 11. (D) is heavy in the middle and no observations at the tails. (E) symmetric with a mean of 8.153 mm and a standard deviation of 1.187 mm. 17. The distribution of male lengths is (A) strongly skewed right since the boxplot extends up to 7.5 (B) uniformly distributed between 4.7 mm and 7.5 mm. (C) is heavy in the middle and has one observation at the tail. (D) somewhat symmetric with a mean of 5.917 mm and a standard deviation of 0.663 mm with a potential outlier of 7.5 mm. (E) strongly skewed left since the mean is much larger than the median. The lengths of the females tend to be (A) shorter than the lengths of the males. The lengths of the females vary less than the lengths of the males. (B) about the same as the lengths of the males since the summary statistics are nearly the same. (C) longer than the lengths of the males since the standard deviation of the female lengths is larger than the standard deviation 18. of the male lengths. (D) less varying than the lengths of the males because of the outlier. (B) longer than the lengths of the males. The 25th percentile (Q1), which is about 7.513 mm for the females, is longer than nearly all of the male lengths. The lengths of the females vary more than the lengths of the males.

Answer 1

16. From box plot, it is observed that for female length Q3-Median almost equal to Median-Q1 so

option (E) symmetric with a mean of 8.153 mm and a standard deviation of 1.187 mm.

17.

From box plot, it is observed that for male length Q3-Median > Median-Q1 so

option (A) strongly skewed right since the box plot extends up to 7.5.

18. Since Q1 for female>7.5= maximum value for male and SD for female> SD for male and also from the length of boxes,

we conclude that lengths of females tend to be longer than the lengths of the males. The 25th percentile (Q1), which is about 7.513 mm for the females, is longer than nearly all of the male lengths. The lengths of the females vary more than the lengths of males.

so

Option (E) longer than the lengths of the males. The 25th percentile (Q1), which is about 7.513 mm for the females, is longer than nearly all of the male lengths. The lengths of the females vary more than the lengths of males.