The 99% confidence interval is within 13.8 miles per hour and 16.2 miles per hour
sample size (n) = 13, mean (μ) = 15, standard deviation (σ) = 1.7
C = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.005
The z score of α/2 (0.005) is the same as the z score of (0.495) which is equal to 2.576.
The margin of error (E) is:
[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{1.7}{\sqrt13} =1.2[/tex]
The 99% confidence interval = mean ± E = 15 ± 1.2 = (13.8, 16.2)
The 99% confidence interval is within 13.8 miles per hour and 16.2 miles per hour
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