Mallory bought a pizza and sodas for her birthday party. If she spent
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Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME= where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
- N is the sample size (5)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±≈3.150±0.206
Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>Why?</h2>When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:
Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:
So, substituting the given information into the equation to calculate work, we have:
Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!