SOLUTION: The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a

Question 382710: The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a random sample, she considered her students to be "typical" of all the national students. What is the probability that her students achieved an average score of at least 3?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a random sample, she considered her students to be "typical" of all the national students. What is the probability that her students achieved an average score of at least 3?
------------------------------
t(3) = (3-2.818)/(1.112/sqrt(69)) = 1.3595
----
P(x-bar > 3) = P(t >=1.350.089295 when df = 68) = 0.0892
----------
Cheers,
Stan H.
RELATED QUESTIONS
Individual scores on a 400-point standardized test had a Normal distribution with mean... (answered by Boreal)

The distribution of scores on a standardized test is approximately Normal with standard... (answered by Boreal)

A mean score on a standardized test is 50 with a standard deviation of 10. What... (answered by Fombitz)

The scores of students on a standardized test are normally distributed with a mean of 300 (answered by stanbon)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by Theo)

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are... (answered by Boreal)

Hi, I am having a lot of trouble with Normal Distribution. I do online school and the... (answered by solver91311)

The scores on a certain test are normally distributed with a mean score of 69 and a... (answered by ewatrrr)

Amanda took the SAT and scored 680 on the mathematics part. The distribution of SAT math... (answered by jim_thompson5910)

SOLUTION: The scores on a standardized test had mean &#956; = 2.818 and standard deviation &#963;= 1.112. A teacher had 69 students take the test. Although the students were obviously not a

SOLUTION: The scores on a standardized test had mean μ = 2.818 and standard deviation σ= 1.112. A teacher had 69 students take the test. Although the students were obviously not a