SOLUTION: The average public elementary school has 458 students. Assume the standard deviation is 97. If a random sample of 36 public elementary schools is selected, find the probability tha

Algebra.Com
Question 1179429: The average public elementary school has 458 students. Assume the standard deviation is 97. If a random sample of 36 public elementary schools is selected, find the probability that the number of students enrolled is between 450 and 465.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Distribution: approximately normal with µ = 458 and σ = 97
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
Sample:  n = 36
P(450 <  x̄ < 465) = normalcdf(450,465,458, 97/√36) = .1896

Wish You the Best in your Studies.

RELATED QUESTIONS

Assume that the sample is taken from a large population and the correction factor can be... (answered by stanbon)
1. A manufacturer of light bulbs produces bulbs that last a mean of 1050 hours with a... (answered by Boreal)
A manufacturer of light bulbs produces bulbs that last a mean of 1050 hours with a... (answered by CPhill)
Assume that a school district has 10,000 class 6. In this district, the average weight of (answered by Boreal)
assume that a school district has 10,000 6th graders. in the district, the average weight (answered by stanbon)
A RANDOM SAMPLE OF 120 STUDENTS HAS A TEST SCORE AVERAGE WITH A STANDARD DEVIATION OF... (answered by solver91311)
The head accountant at Raglan resources is concerned over the clerical errors on... (answered by stanbon,duotmto)
In a recent year, a sample of grade 8 Washington State public school students taking a... (answered by Boreal)
Assume that the population of heights of male college students is approximately normally... (answered by stanbon)