The hypothesis testing for this problem is:
a. The hypothesis for this problem are:
Null: H0: μ=6
Alternative: Ha: μ≠6
b. Test
T-statistics = (6.08 - 6) / 0.44* √(121) = 2
c. P value = 0.047759
Since our p-value is smaller than the significant level of 0.05, we can say that we reject the null hypothesis.
Conclusion: there is enough evidence to say lathe is not in perfect adjustment.
20% of 2100 is 420
So the tax is $420
Then 2100-420= 1680
So he has $1680 left after paying the tax.
Because every right angled triangle has an Hypotenuse, adjacent and opposite