Stat 160 Postquiz 1, Over Sections 1.5-1.7



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1. Consider the following data.
  12 11 9 3 6 5 2 1 3 16 2 3
Obtain the five basic statistics, minimum, Q1, median, Q3, maximum, respectively. For Q1 and Q3, use the quartile rule that's in the book Quartile Rule is on this page .
1,2,5,11,16
1,3,3,9,16
1,2,4,9,16
1,2,4,11,16
2. Are there any outliers in the above data? If so which?

Yes,16
No
Yes,1
Yes, 12 and 16.
3. Consider the following 2 samples:
        A       B
        4       4
        8       8
        6       6
        7       7
        10      100
Compute the sample mean and Hodges-Lehmann estimates, respectively, of A and B.

A:mean=6,HL=6 ; B:mean=6,HL=7
A:mean=7,HL=6 ; B:mean=7,HL=7
A:mean=7,HL=7 ; B:mean=25,HL=7
A:mean=7,HL=6 ; B:mean=25,HL=6
4. Consider the above samples again. Compute the IQR and the variance, respectively, of the two samples.


A:IQR=2,var=5 ; B:IQR=2,var=5
A:IQR=2,var=5 ; B:IQR=2,var=1760
A:IQR=2,var=2.236 ; B:IQR=2,var=42
A:IQR=1,var=2.236 ; B:IQR=1,var=42
5. Ten batteries from each of three brands (A, B, and C) were put on test to determine their lifetimes (in hours). Obtain comparison boxplots. Use these boxplots to obtain the 5 basic descriptive statistics for each brand. Bigger means better here. Which brand seems best, if any?
A:    181    289    214    102     191     94    179     87    161    155

B:    39     65     22     64     22    191     99     32    142    317 

C:    24     95    139    122     41    360    318     34     43     18
A
B
C
All are the same.