Answer:
Interval within 1 standard deviation: (16.3,19.7)
Interval within 2 standard deviation: (14.6, 21.4)
Interval within 3 standard deviation: (12.9, 23.1)
Step-by-step explanation:
We are given the following in the question:
Population mean, [tex]\mu[/tex] = 18
Standard deviation, [tex]\sigma[/tex] = 1.7
We have to find the following intervals:
Interval within 1 standard deviation:
[tex]\mu \pm 1\sigma\\=18 \pm 1.7\\=(16.3, 19.7)[/tex]
Interval within 2 standard deviation:
[tex]\mu \pm 2\sigma\\=18 \pm 2(1.7)\\= 18 \pm 3.4\\=(14.6,21.4)[/tex]
Interval within 3 standard deviation:
[tex]\mu \pm 3\sigma\\=18 \pm 2(1.7)\\= 18 \pm 5.1\\=(12.9,23.1)[/tex]
