Answer:
(96.91, 101.09)
Step-by-step explanation:
To calculate the interval, you require the Z value at 95% confidence interval. The Z value is 1.96. The formula to calculate the confidence interval:
[tex]X-Zs/\sqrt{x} \\X+Zs/\sqrt{x}[/tex]
Where X is the mean and s is the standard deviation and x the sample size:
[tex]99-1.96\cdot{5}/\sqrt{22} \\99+1.96\cdot{5}/\sqrt{22}[/tex]
The interval is (96.91, 101.09)
