In: Statistics and Probability
A random sample of 23 hemp seeds from a company were planted and harvested. The mean number of days from seed to harvest was 127 days with a standard deviation of 17.2 days. Assume the sample comes from a population that is normally distributed and construct a 95% confidence interval estimate for σ.
Solution :
Given that,
s = 17.2
s2 = 295.84
2R
=
2
/2,df
= 36.781
2L
=
21 -
/2,df = 10.982
The 95% confidence interval for
is,
(n
- 1)s2 /
2
/2
<
<
(n - 1)s2 /
21 -
/2
(22)(295.84)
/ 36.781 <
<
(22)(295.84) / 10.982
13.30 <
< 24.34
(13.30 , 24.34)