A human cannonball is to be fired with an initial speed of 80 ft/s. The circus performer hopes to land on a cushion located 180
feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? g = 32 ft/sec^2.
1 answer:
Answer:
See explanation for step to step answer
Step-by-step explanation:
Given that;
initial speed of 80 ft/s.
The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon.
The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle.
Can the performer be fired to the cushion without striking the ceiling If so, what is the proper firing angle. g = 32 ft/sec^2.
See attavhed documents for further step by step answers.
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<h2><u>Answer with explanation</u>:</h2>
Let be the average life of light bulbs.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Using z-value table , Critical one-tailed test value for 0.06 significance level :
Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life