Question

1.08
8.65
2.40
1.09
0.51
3.47
5.24
0.50
1.28
2.03
0.88
1.82
2.00
6.55
3.37
8.36
0.17
0.11
0.10
0.11
0.49
4.67
0.56
21.63
22.96
2.01
0.19
7.53
14.61
13.87
1.04
4.15
6.82
4.32
6.24
1.27
10.19
1.93
9.53
8.65
2.62
5.88
8.15
6.11
0.68
8.62
0.84
1.80
0.20
0.11
0.78
0.26
0.68
1.69
3.33
8.18
0.37
0.10
0.41
0.11
0.11
0.57
2.16
5.47
0.97
0.35
0.48
0.49
0.11
4.82
2.60
1.25
5.80
0.47
1.10
0.50
0.97
0.21
1.10
3.61
4.89
1.87
3.42
0.11
0.12

Use statistical software to construct a 95​% confidence interval for the mean tornado length. Select the correct choice below and fill in the answer boxes to complete your choice.

​(Use ascending order. Round to two decimal places as​ needed.)

A.We are 95​% confident that the population mean length of a tornado is between miles and miles.

B.If repeated samples are​ taken, 95​% of them will have a sample mean between miles and miles.

C.There is 95% probability that the true mean length of a tornado is between miles and miles.

Answer 1

from given values

mean =3.375

and std deviation =4.416

therefore 95% confidence interval =mean -/+ t*std deviation/sqrt(n) =2.42 ; 4.33

A.We are 95​% confident that the population mean length of a tornado is between 2.42  miles and 4.33 miles.