3.4

5 34 week gestation: -0.30, 40 week gestation: -0.43. The 0 week gestation baby weighs less

7 75 inch man: 1.8, 70 inch woman: 1.55. The man is relatively taller.

9 Clayton Kershaw: -2.30, Felix Hernandez -1.91. Kershaw had the better year.

11 100 meter backstroke: -3.39, 200 meter backstroke -3.05. Ryan is better at the 100 meter backstroke.

13 The applicant must make a minimum score of 239 to be accepted.

15

  1. 15% is equal to or less, 85% is greater than

  2. 90% is equal to or less, 10% is greater than

  3. The heights at each percentile decrease except for 40-49 as the age increases. This implies that adult males are getting taller.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), 0.069

  2. Q1= 9.15, Q3= 11.1

  3. IQR = 1.95

  4. Lower fence = 7.2, Upper fence = 13.05, Outliers = 5.7, 13.4

25 Using MINITAB, the customer is contacted if more than 578 minutes are used.

3.5

3

  1. Skewed right

  2. 0,1,3,6,16

4

  1. symmetrical

  2. -1,2,5,8,11

5

  1. Median = 40

  2. Q3= 52

  3. Y has more dispersion, because it has a broader range and IQR

  4. X is symmetric - the lines are the same length and the median is near the center of the boc=x

  5. Y is skewed right, the median is to the left of the box and the right line is longer

6

  1. Median = 16

  2. Q1 = 22

  3. Y has more dispersion because of the broader IQR and range

  4. Yes, 29

  5. Skewed to the left, median is in right of box, left line is longer

7

dat1 <- c(60,68,77,89,98)

boxplot(dat1)

8

dat2 <- c(110,140,157,173,205)

boxplot(dat2)

9

dat3 <- c(42,43,46,46,47,
         47,48,49,49,50,
         50,51,51,51,51,
         52,52,54,54,54,
         54,54,55,55,55,
         55,56,56,56,57,
         57,57,57,58,60,
         61,61,61,62,64,
         64,65,68,69)

  1. 42, 50.5, 54.5, 57.5, 69

  2. 69 is an outlier

boxplot(dat3)

  1. The distribution seems to be symmetric, because the lines are equal and the median is close to the center

10

dat3 <- c(7.2, 7.8, 7.8, 7.9, 8.1, 8.3,
          8.5, 8.6, 8.6, 8.6, 8.7, 8.8,
          9.0, 9.1, 9.2, 9.2, 9.2, 9.4,
          9.4, 9.6, 9.7, 9.7, 9.9, 9.9,
          10.0, 10.0, 10.0, 10.1, 10.2, 10.3,
          10.0, 10.3, 10.3, 10.7, 10.7, 10.9,
          11.2, 11.2, 11.2, 11.3, 11.3, 11.3,
          11.5, 11.5, 11.7, 12.4, 12.5, 13.6,
          13.8, 14.4, 16.4)

  1. 7.2, 9.0, 10.0, 11.2, 16.4

boxplot(dat3)

  1. Skewed to the right