Answer
The null hypothesis can not be rejected at α=0.05 and this means that the motorist' claim that the South Boro Police issue an average of 60 speeding tickets per day is correct.
Work Step by Step
Given that, $$μ=60, σ=13.42,n=30, then,\\
\bar x=(72+45+...+42+63)/30=1798/30 \approx 59.93,\\
H_0:μ=60.\\H_1:μ≠60.\\
Z=\frac{\bar x −μ}{\frac{σ}{\sqrt{n}}} = \frac{59.93−60}{\frac{13.42}{\sqrt{30}}} ≈ -0.03\\
P-value =2\times(1-P(Z\leq 0.03))\\=2 \times (1-0.512)=0.976\\$$
Since α=0.05 and P−value=0.976, the null hypothesis can not be rejected.
