A Random Sample of 49 Lunch Customers Was Taken at a Restaurant.The

question 142

Essay

A random sample of 49 lunch customers was taken at a restaurant.The average amount of time these customers stayed in the restaurant was 45 minutes with a standard deviation of 14 minutes.
a.
Compute the standard error of the mean.
b.
With a .95 probability, what statement can be made about the size of the margin of error?
c.
Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant.
d.
With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?

---

Definitions:

Determinism

The concept in philosophy that every event, including decisions of a moral nature, are fully dictated by causes that predated them.

Free Will

The capacity of agents to choose between different possible courses of action unimpeded.

Determinism

The philosophical doctrine suggesting that all events, including moral choices, are determined by previously existing causes.

Freedom

The authority or freedom to behave, express oneself, or make decisions without being stopped or limited.