Answer:
0.19 < σ < 0.72
Step-by-step explanation:
The sample standard deviation is 0.30.
The population variation can be estimated between:
(n−1) s² / χ²α/2 < σ² < (n−1) s² / χ²(1−α/2)
At 98% confidence and 7 degrees of freedom, χ²α/2 = 18.5 and χ²(1−α/2) = 1.24.
(8−1) 0.30² / 18.5 < σ² < (8−1) 0.30² / 1.24
0.034 < σ² < 0.512
0.19 < σ < 0.72