Answer: Yes, the kids in the Butterfield are as sick as the kids throughout the state.
Explanation:
Since we have given that
[tex]\mu=16\\\sigma=2.35[/tex]
Let our hypothesis be
[tex]H_0:\mu=16\\H_1:\mu\neq 16[/tex]
As we know the formula,
[tex]z=\frac{X-\mu}{\frac{\sigma}{\sqrt n}}\\\\z=\frac{15-16}{\frac{2.35}{\sqrt {20}}}\\\\z=\frac{-1}{0.525}=(-)1.904[/tex]
At 5% level of significance ,
[tex]critical\ z=\pm 1.96[/tex]
Since,
[tex]-1.904>-1.96[/tex]
Hence, we accepted the hypothesis i.e.
[tex]H_0:\mu=16[/tex]
Hence,
Yes, the kids in the Butterfield are as sick as the kids throughout the state.
