3.4

5 type answer 34 week gestation has a z-score of -.303 and the 30 week gestation has a z-score of -.4255. The 40 week child weighs less as its z-score is farther below zero.

7 type answer The man because his z-score is 1.8, while the woman’s is only 1.55

9 type answer Clayton Kershaw had a better year with a z-score of -2.3, while Felix Hernandez had a z-score of -1.91.

11 type answer Ryan’s 100-meter backstroke z-score of -3.39 is better than his 200-meter backstroke z-score of -3.05.

13 type answer Applicants must get at least a 239 on the test.

15

  1. type answers 15% of 3-5 month old male babies have a head circumference that is below or equal to 41cm. That means that 85% of 3-5 month olds have a head circumference that is larger than 41cm.

  2. type answers 90% of 2 year old females have a waist circumference that is below or equal to 52.7cm. Only 10% of two year old females have a waist circumference larger than 52.7.

  3. type answers Generally, the heights at each percentile decrease as the age increases. That data implies that adult males are getting taller.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), type answer Blackie’s z-score is -1.21 meaning she is below the mean hemoglobin level for the 20 cats.

  2. type answer Q3=11.1 and Q1=9.15

  3. type answer IQR=1.95 and that captures the middle 50% of the data.

  4. type answer The lower fence is 6.225 and there is one value below that (5.7) so it is an outlier. The upper fence is 14.025 and no values are above that.

25 type answer Q3=574.25 minutes. The customer should be contacted after 574 minuttes.

3.5

3

  1. Skewed right.

  2. 0,1,3,6,16

4

  1. Appears to be bell shaped, evenly distributed.

  2. -1, 2, 5, 7, 11

5

  1. median is 40

  2. Q3=52

  3. Y has more dispersion. The broader range of the boxplot shows that.

  4. Distribution of X is symmetric. Median appears to be in the middle of Q1 and Q3, while the lines also appear to be equal in length.

  5. Distribution of Y is skewed right. Median is left of center and the right line is much longer than the left line.

6

  1. Median is 16.

  2. Q1=22

  3. Y appears to have more dispersion. The box is bigger and the left line on Y is much larger than the one on X, the right line of X is only slightly larger than the line on Y.

  4. X has an outlier of 30.

  5. Skewed left. The line on the left is much larger than the line on the right. The median is also right of center in the box.

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. type answer (note data is in order) 42, 50.5, 54.5, 57.5, 69

boxplot(dat3)

  1. type answer The distribution appears to be symmetric. The median is near the middle of the box and the lines appear to be approximately the same legnth.

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. type answer (note data is in order) 7.2,9,10,11.2,16.4

boxplot(dat3)

  1. type answer Skewed right. Median is in center of box. Line is larger out of right end with an outlier at 16.4