Question

Suppose the following data represent the heights (in inches) of a random sample of males: 64, 66, 69, 71, 72, 75. Which of the following could be a possible bootstrap sample? (a) 70, 69, 69, 72, 72, 72 (b) 71, 66, 69, 75, 75, 75 (c) 72, 71, 66, 66, 69, 72 (d) 75, 72, 72, 66, 75, 72, 71 (e) 75, 75, 64, 69, 66 (a) Could 70, 69, 69, 72, 72, 72 be a possible bootstrap sample? O A. No, there is a value not in the original sample. OB. No, there is a duplicate value. OC. No, the sample size is too small. OD. Yes, this could be a possible bootstrap sample. O E. No, the sample size is too large. (b) Could 71, 66, 69, 75, 75, 75 be a possible bootstrap sample? OA. No, there is a value not in the original sample. O B . No, there is a duplicate value. OC. No, the sample size is too small. OD. No, the sample size is too large. O E. Yes, this could be a possible bootstrap sample. (c) Could 72, 71, 66, 66, 69, 72 be a possible bootstrap sample?

Answer 1

ca) No, there is a value not in the original sample (6) yes, this could be a possible bootstrap 8 ample cc) possible bootstrap yes, this could be a sample Cd No. the sample size is too large ce) No, the sample size is too small. 0.666< p < 0.888 0.666 +0.888 b. 0.666 + 0.8 0777 2 E = 0.888 - 777 = 0.1!! finally, write the four final form as 10.777 + TU

,
=
20.01.11

= 24.725

X1-/2,
=
10.99,11

=3.05

By using Chi - Square critical value table)

D-12; =4.2310 The 987. confidence interval for population standard deviation is, en-i) 52 , Lin-b) s? 111 X4.231032 11X (4231032 3.05 V 24.725 17.9642 coc 64.5623 2.8221 co< 8.0351 The confidence interval estimate is 2.8 milb. 2.8 milh co<8.0 milh yes. The confidence interval describes the standard deviation for all times during the week