SOLUTION: Students at Broward Community College spend an average of $60 per week for food with a standard deviation of 10. This distribution is normally distributed. If 80 different stu

Question 582857: Students at Broward Community College spend an average of $60 per week for food with a standard deviation of 10. This distribution is normally distributed.

If 80 different students are randomly sampled; find the probability that their mean expenditure for food is more than $ 75.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Students at Broward Community College spend an average of $60 per week for food with a standard deviation of 10. This distribution is normally distributed.
If 80 different students are randomly sampled; find the probability that their mean expenditure for food is more than $ 75.
---------
z(75) = (75-60)/[10/sqrt(80)] = 11.62
----
P(x > 75) = P(z > 11.62) = 1.677x10^(-31)
=========================================
Cheers,
Stan H.
=============
RELATED QUESTIONS
A recent article in a leading magazine claimed that the homemakers spend an... (answered by CPhill)

1.We wish to estimate what percent of 18 to 25-year old's that own a Samsung phone. Out... (answered by math_tutor2020)

I need some serious help please! Find the appropriate confidence interval for the... (answered by stanbon)

The average college student's tuition in Arizona is $8000 per year with a standard... (answered by stanbon)

The amount of money that students spend on their cell phones per week is normally... (answered by Boreal)

1. A national magazine claims that the average college student watches less television... (answered by Boreal)

Assume that the average age of students at a local community college is normally... (answered by ewatrrr)

You want to obtain a sample to estimate the average number of hours per week community... (answered by yurtman)